31
Fit FOPDT (First Order Plus Dead-Time) Models from Measured Data Insert These Values Model Parameters time Input Measured Kp (Gain) 1.199997297 1 50 60 tau (Time Constant) 30.00145698 2 50 60 theta (Time Delay) 20.99844393 3 50 60 4 50 60 5 50 60 Minimize Either of These 6 50 60 Sum of Squared Errors 8.52752E-07 7 50 60 Sum of Absolute Errors 0.013561149 8 50 60 RMS 4.45958E-05 9 50 60 10 50 60 11 50 60 12 50 60 13 50 60 14 50 60 15 50 60 16 50 60 17 50 60 18 50 60 19 50 60 20 50 60 21 50 60 22 50 60 23 50 60 24 50 60 25 50 60 26 50 60 27 50 60 28 50 60 29 50 60 30 50 60 31 50 60 32 50 60 33 50 60 34 50 60 35 50 60 36 50 60 37 50 60 38 50 60 39 50 60 40 50 60 41 50 60 42 50 60 43 50 60 44 50 60 45 50 60 46 50 60 0 100 200 300 400 500 600 700 800 56 58 60 62 64 66 68 FOPDT Model Fit Column J Time Output (PV) 0 100 200 300 400 500 600 700 800 46 48 50 52 54 56 Manipulated Variable Column E Time Input (MV)

FOPDT

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Page 1: FOPDT

Fit FOPDT (First Order Plus Dead-Time) Models from Measured DataDon't change these columns, only copy down to match number of measurements

Insert These ValuesModel Parameters time Input Measured ModelKp (Gain) 1.1999972972 1 50 60 60tau (Time Constant) 30.001456977 2 50 60 60theta (Time Delay) 20.998443928 3 50 60 60

4 50 60 605 50 60 60

Minimize Either of These 6 50 60 60Sum of Squared Errors 8.527519E-07 7 50 60 60Sum of Absolute Errors 0.0135611495 8 50 60 60RMS 4.459584E-05 9 50 60 60

10 50 60 6011 50 60 6012 50 60 6013 50 60 6014 50 60 6015 50 60 6016 50 60 6017 50 60 6018 50 60 6019 50 60 6020 50 60 6021 50 60 6022 50 60 6023 50 60 6024 50 60 6025 50 60 6026 50 60 6027 50 60 6028 50 60 6029 50 60 6030 50 60 6031 50 60 6032 50 60 6033 50 60 6034 50 60 6035 50 60 6036 50 60 6037 50 60 6038 50 60 6039 50 60 6040 50 60 6041 50 60 6042 50 60 6043 50 60 6044 50 60 6045 50 60 6046 50 60 60

0 100 200 300 400 500 600 700 80056

58

60

62

64

66

68FOPDT Model Fit Column J

Column F

Time

Ou

tpu

t (P

V)

0 100 200 300 400 500 600 700 80046

48

50

52

54

56Manipulated Variable

Column E

Time

Inp

ut (

MV

)

Page 2: FOPDT

47 50 60 6048 50 60 6049 50 60 6050 50 60 6051 50 60 6052 50 60 6053 50 60 6054 50 60 6055 50 60 6056 50 60 6057 50 60 6058 50 60 6059 50 60 6060 50 60 6061 50 60 6062 50 60 6063 50 60 6064 50 60 6065 50 60 6066 50 60 6067 50 60 6068 50 60 6069 50 60 6070 50 60 6071 50 60 6072 50 60 6073 50 60 6074 50 60 6075 50 60 6076 50 60 6077 50 60 6078 50 60 6079 50 60 6080 50 60 6081 50 60 6082 50 60 6083 50 60 6084 50 60 6085 50 60 6086 50 60 6087 50 60 6088 50 60 6089 50 60 6090 50 60 6091 50 60 6092 50 60 6093 50 60 6094 50 60 6095 50 60 6096 50 60 60

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97 50 60 6098 50 60 6099 50 60 60

100 50 60 60101 50 60 60102 50 60 60103 50 60 60104 50 60 60105 50 60 60106 50 60 60107 50 60 60108 50 60 60109 50 60 60110 50 60 60111 50 60 60112 50 60 60113 50 60 60114 50 60 60115 50 60 60116 50 60 60117 50 60 60118 50 60 60119 50 60 60120 50 60 60121 50 60 60122 50 60 60123 50 60 60124 50 60 60125 50 60 60126 50 60 60127 50 60 60128 50 60 60129 50 60 60130 50 60 60131 50 60 60132 50 60 60133 50 60 60134 50 60 60135 50 60 60136 50 60 60137 50 60 60138 50 60 60139 50 60 60140 50 60 60141 50 60 60142 50 60 60143 55 60 60.19669356144 55 60 60.386939046145 55 60 60.57094784146 55 60 60.748924398

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147 55 60 60.921066468148 55 60 61.087565319149 55 60 61.24860595150 55 60 61.404367292151 55 60 61.555022415152 55 60 61.700738711153 55 60 61.841678086154 55 60 61.97799714155 55 60 62.109847338156 55 60 62.237375178157 55 60 62.360722358158 55 60 62.480025929159 55 60 62.595418451160 55 60 62.707028137161 55 60 62.814978997162 55 60 62.919390975163 55 60 63.020380086164 55 60.1967034 63.118058537165 55 60.38695809 63.212534861166 55 60.57097549 63.303914031167 55 60.74896009 63.392297578168 55 60.92110965 63.477783706169 55 61.08761548 63.5604674170 55 61.2486626 63.640440529171 55 61.40442997 63.717791952172 55 61.55509068 63.792607615173 55 61.70081214 63.864970646174 55 61.84175628 63.934961448175 55 61.97807972 64.002657788176 55 62.10993395 64.068134884177 55 62.23746549 64.131465488178 55 62.36081604 64.192719967179 55 62.48012268 64.251966381180 55 62.59551799 64.30927056181 55 62.70713018 64.364696174182 55 62.8150833 64.418304807183 55 62.91949729 64.470156023184 55 63.02048818 64.520307436185 55 63.11816819 64.568814769186 55 63.21264588 64.615731918187 55 63.30402622 64.661111013188 55 63.39241075 64.705002476189 55 63.47789769 64.747455074190 55 63.56058204 64.788515977191 55 63.64055567 64.828230807192 55 63.71790746 64.866643693193 55 63.79272335 64.903797315194 55 63.86508649 64.939732954195 55 63.93507728 64.974490539196 55 64.0027735 65.00810869

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197 55 64.06825037 65.040624759198 55 64.13158066 65.072074875199 55 64.19283473 65.102493983200 55 64.25208065 65.131915882201 55 64.30938427 65.160373262202 55 64.36480924 65.187897743203 55 64.41841717 65.214519908204 55 64.47026762 65.240269335205 55 64.52041822 65.265174636206 55 64.56892468 65.289263484207 55 64.61584091 65.312562642208 55 64.66121904 65.335098209 55 64.7051095 65.356894597210 55 64.74756106 65.37797665211 55 64.78862089 65.398367584212 55 64.82833462 65.418090055213 55 64.86674638 65.437165978214 55 64.90389886 65.455616548215 55 64.93983333 65.473462265216 55 64.97458972 65.490722958217 55 65.00820667 65.507417805218 55 65.04072152 65.523565356219 55 65.07217041 65.539183552220 55 65.10258828 65.554289748221 55 65.13200894 65.568900727222 55 65.16046507 65.583032724223 55 65.1879883 65.596701442224 55 65.21460921 65.609922067225 55 65.24035738 65.622709289226 55 65.26526143 65.635077316227 55 65.28934903 65.64703989228 55 65.31264694 65.658610303229 55 65.33518105 65.669801411230 55 65.35697641 65.680625648231 55 65.37805723 65.691095042232 55 65.39844694 65.701221224233 55 65.41816819 65.711015447234 55 65.43724291 65.720488592235 55 65.45569228 65.729651185236 55 65.47353681 65.738513407237 55 65.49079633 65.747085105238 55 65.50749001 65.755375803239 55 65.52363641 65.763394712240 55 65.53925346 65.771150742241 55 65.55435853 65.778652512242 55 65.5689684 65.785908356243 55 65.58309929 65.792926337244 55 65.59676692 65.799714252245 55 65.60998648 65.806279643246 55 65.62277264 65.812629805

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247 55 65.63513962 65.818771795248 55 65.64710117 65.824712435249 55 65.65867057 65.830458328250 55 65.66986068 65.836015856251 55 65.68068393 65.841391196252 55 65.69115236 65.84659032253 55 65.70127759 65.851619004254 55 65.71107088 65.856482836255 55 65.7205431 65.861187221256 55 65.72970479 65.865737385257 55 65.73856612 65.870138384258 55 65.74713694 65.874395108259 55 65.75542678 65.878512286260 55 65.76344484 65.882494494261 55 65.77120004 65.886346155262 55 65.778701 65.890071551263 55 65.78595604 65.893674819264 55 65.79297324 65.897159963265 55 65.79976038 65.900530857266 55 65.80632502 65.903791244267 55 65.81267444 65.906944749268 55 65.8188157 65.909994874269 55 65.82475563 65.912945009270 55 65.83050082 65.915798432271 55 65.83605767 65.918558313272 55 65.84143233 65.921227718273 55 65.8466308 65.923809615274 55 65.85165884 65.92630687275 55 65.85652204 65.92872226276 55 65.86122581 65.931058468277 55 65.86577537 65.933318089278 55 65.87017578 65.935503635279 55 65.87443192 65.937617533280 55 65.87854853 65.939662133281 55 65.88253018 65.941639706282 55 65.8863813 65.94355245283 55 65.89010617 65.945402489284 55 65.89370892 65.94719188285 55 65.89719355 65.94892261286 55 65.90056395 65.950596603287 55 65.90382385 65.952215719288 55 65.90697688 65.953781756289 55 65.91002654 65.955296455290 55 65.91297622 65.956761498291 55 65.9158292 65.958178514292 55 65.91858865 65.959549077293 55 65.92125763 65.96087471294 55 65.92383911 65.962156885295 55 65.92633596 65.963397028296 55 65.92875096 65.964596516

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597 55 65.99999687 65.999984931598 55 65.99999697 65.999984982599 55 65.99999707 65.999985031600 55 65.99999717 65.999985079601 55 65.99999726 65.999985125602 55 65.99999735 65.99998517603 55 65.99999744 65.999985213604 55 65.99999752 65.999985255605 55 65.9999976 65.999985295606 55 65.99999768 65.999985334607 55 65.99999776 65.999985372608 55 65.99999783 65.999985408609 55 65.9999979 65.999985444610 55 65.99999797 65.999985478611 55 65.99999804 65.999985511612 55 65.9999981 65.999985543613 55 65.99999816 65.999985574614 55 65.99999822 65.999985604615 55 65.99999828 65.999985633616 55 65.99999834 65.999985661617 55 65.99999839 65.999985688618 55 65.99999845 65.999985714619 55 65.9999985 65.999985739620 55 65.99999855 65.999985764621 55 65.99999859 65.999985787622 55 65.99999864 65.99998581623 55 65.99999868 65.999985832624 55 65.99999873 65.999985854625 55 65.99999877 65.999985874626 55 65.99999881 65.999985895627 55 65.99999885 65.999985914628 55 65.99999889 65.999985933629 55 65.99999892 65.999985951630 55 65.99999896 65.999985968631 55 65.99999899 65.999985985632 55 65.99999903 65.999986002633 55 65.99999906 65.999986018634 55 65.99999909 65.999986033635 55 65.99999912 65.999986048636 55 65.99999915 65.999986062637 55 65.99999918 65.999986076638 55 65.9999992 65.999986089639 55 65.99999923 65.999986102640 55 65.99999925 65.999986115641 55 65.99999928 65.999986127642 55 65.9999993 65.999986139643 55 65.99999932 65.99998615644 55 65.99999935 65.999986161645 55 65.99999937 65.999986172646 55 65.99999939 65.999986182

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647 55 65.99999941 65.999986192648 55 65.99999943 65.999986202649 55 65.99999945 65.999986211650 55 65.99999947 65.99998622651 55 65.99999948 65.999986229652 55 65.9999995 65.999986237653 55 65.99999952 65.999986245654 55 65.99999953 65.999986253655 55 65.99999955 65.999986261656 55 65.99999956 65.999986268657 55 65.99999958 65.999986275658 55 65.99999959 65.999986282659 55 65.9999996 65.999986289660 55 65.99999962 65.999986296661 55 65.99999963 65.999986302662 55 65.99999964 65.999986308663 55 65.99999965 65.999986314664 55 65.99999966 65.999986319665 55 65.99999968 65.999986325666 55 65.99999969 65.99998633667 55 65.9999997 65.999986335668 55 65.99999971 65.99998634669 55 65.99999972 65.999986345670 55 65.99999973 65.999986349671 55 65.99999973 65.999986354672 55 65.99999974 65.999986358673 55 65.99999975 65.999986362674 55 65.99999976 65.999986367675 55 65.99999977 65.99998637676 55 65.99999978 65.999986374677 55 65.99999978 65.999986378678 55 65.99999979 65.999986381679 55 65.9999998 65.999986385680 55 65.9999998 65.999986388681 55 65.99999981 65.999986391682 55 65.99999982 65.999986394683 55 65.99999982 65.999986397684 55 65.99999983 65.9999864685 55 65.99999983 65.999986403686 55 65.99999984 65.999986406687 55 65.99999984 65.999986408688 55 65.99999985 65.999986411689 55 65.99999985 65.999986413690 55 65.99999986 65.999986416691 55 65.99999986 65.999986418692 55 65.99999987 65.99998642693 55 65.99999987 65.999986423694 55 65.99999988 65.999986425695 55 65.99999988 65.999986427696 55 65.99999988 65.999986429

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697 55 65.99999989 65.99998643698 55 65.99999989 65.999986432699 55 65.9999999 65.999986434700 55 65.9999999 65.999986436701 55 65.9999999 65.999986437702 55 65.99999991 65.999986439703 55 65.99999991 65.99998644704 55 65.99999991 65.999986442705 55 65.99999991 65.999986443706 55 65.99999992 65.999986445707 55 65.99999992 65.999986446708 55 65.99999992 65.999986447709 55 65.99999993 65.999986449710 55 65.99999993 65.99998645711 55 65.99999993 65.999986451712 55 65.99999993 65.999986452713 55 65.99999993 65.999986453714 55 65.99999994 65.999986454715 55 65.99999994 65.999986455716 55 65.99999994 65.999986456717 55 65.99999994 65.999986457718 55 65.99999994 65.999986458719 55 65.99999995 65.999986459720 55 65.99999995 65.99998646721 55 65.99999995 65.999986461722 55 65.99999995 65.999986462723 55 65.99999995 65.999986463724 55 65.99999995 65.999986463725 55 65.99999996 65.999986464726 55 65.99999996 65.999986465727 55 65.99999996 65.999986466728 55 65.99999996 65.999986466729 55 65.99999996 65.999986467730 55 65.99999996 65.999986467731 55 65.99999996 65.999986468732 55 65.99999997 65.999986469733 55 65.99999997 65.999986469734 55 65.99999997 65.99998647735 55 65.99999997 65.99998647736 55 65.99999997 65.999986471737 55 65.99999997 65.999986471738 55 65.99999997 65.999986472739 55 65.99999997 65.999986472

Page 16: FOPDT

Don't change these columns, only copy down to match number of measurementsModel Model ModelSlope Intercept with Delay abs(error) error^2

0 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 0

Page 17: FOPDT

0 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 0

Page 18: FOPDT

0 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 00 60 60 0 0

0.1966935598 32.06951451 60 0 00.1902454859 32.991589083 60 0 00.1840087948 33.88967259 60 0 00.1779765571 34.764347061 60 0 0

Page 19: FOPDT

0.1721420702 35.616182149 60 0 00.1664988514 36.445735314 60 0 00.1610406305 37.25355201 60 0 00.1557613428 38.040165878 60 0 00.1506551224 38.806098928 60 0 00.1457162959 39.551861731 60 0 00.1409393757 40.27795361 60 0 0

0.136319054 40.984862824 60 0 00.1318501973 41.67306676 60 0 00.1275278401 42.343032123 60 0 00.1233471799 42.995215118 60 0 00.1193035714 43.63006164 60 0 00.1153925219 44.248007462 60 0 00.1116096858 44.849478413 60 0 00.1079508598 45.434890569 60 0 00.1044119787 46.00465043 60 0 00.1009891103 46.5591551 60 0 00.0976784516 47.098792473 60.196999629 0.0002962292 8.775173E-08

0.094476324 47.6239414 60.387235081 0.0002769914 7.672422E-080.0913791696 48.134971874 60.571234171 0.0002586815 6.69161E-080.0883835472 48.6322452 60.749201342 0.000241252 5.820251E-080.0854861282 49.116114164 60.921334333 0.0002246833 5.048257E-080.0826836934 49.586923208 61.087824403 0.0002089234 4.364899E-08

0.079973129 50.045008599 61.24885654 0.0001939405 3.761291E-080.0773514232 50.490698586 61.404609668 0.0001796983 3.229147E-08

0.074815663 50.924313576 61.555256845 0.0001661651 2.761083E-080.072363031 51.346166287 61.700965456 0.0001533158 2.350574E-08

0.0699908019 51.75656191 61.841897398 0.0001411182 1.991436E-080.0676963401 52.155798269 61.978209263 0.0001295427 1.678131E-080.0654770961 52.544165972 62.110052506 0.0001185561 1.405555E-080.0633306041 52.921948568 62.23757362 0.0001081303 1.169216E-080.0612544791 53.289422693 62.360914295 9.825476E-05 9.653998E-090.0592464143 53.646858224 62.480211574 8.889406E-05 7.902154E-090.0573041786 53.99451842 62.59559801 8.002013E-05 6.403221E-090.0554256138 54.332660067 62.70720181 7.162953E-05 5.13079E-090.0536086329 54.661533624 62.815146976 6.367593E-05 4.054624E-090.0518512168 54.981383354 62.919553448 5.615785E-05 3.153705E-090.0501514129 55.292447467 63.020537232 4.905196E-05 2.406095E-090.0485073325 55.594958252 63.118210532 4.234195E-05 1.792841E-09

0.046917149 55.889142212 63.212681873 3.599322E-05 1.295512E-090.0453790953 56.175220189 63.304056223 3.000344E-05 9.002064E-100.0438914627 56.453407494 63.392435109 2.435921E-05 5.933711E-100.0424525981 56.723914036 63.477916729 1.903885E-05 3.624777E-100.0410609028 56.986944436 63.560596061 1.40215E-05 1.966023E-100.0397148306 57.242698159 63.640564973 9.302663E-06 8.653953E-110.0384128858 57.491369622 63.717912316 4.85629E-06 2.358355E-110.0371536217 57.733148318 63.792724033 6.834793E-07 4.67144E-130.0359356393 57.968218927 63.865083248 3.242016E-06 1.051067E-110.0347575852 58.196761427 63.935070359 6.921435E-06 4.790627E-110.0336181504 58.418951205 64.002763128 1.037168E-05 1.075717E-10

Page 20: FOPDT

0.032516069 58.634959166 64.068236771 1.359889E-05 1.849298E-100.0314501164 58.844951833 64.131564035 1.662492E-05 2.763879E-100.0304191082 59.04909146 64.192815284 1.944645E-05 3.781644E-100.0294218988 59.247536122 64.252058573 2.207686E-05 4.873876E-100.0284573803 59.440439823 64.309359729 2.454056E-05 6.02239E-10

0.027524481 59.627952591 64.36478242 2.681989E-05 7.193067E-100.0266221642 59.810220568 64.418388226 2.894437E-05 8.377768E-100.0257494276 59.987386113 64.470236708 3.091226E-05 9.555681E-100.0249053012 60.159587885 64.520385476 3.27444E-05 1.072196E-090.0240888473 60.326960934 64.56889025 3.443019E-05 1.185438E-090.0232991587 60.489636792 64.615804924 3.598567E-05 1.294969E-090.0225353579 60.647743557 64.661181626 3.741368E-05 1.399783E-090.0217965963 60.801405975 64.705070774 3.872588E-05 1.499693E-09

0.021082053 60.950745524 64.747521133 3.992677E-05 1.594147E-090.0203909341 61.095880493 64.788579871 4.10195E-05 1.682599E-090.0197224717 61.236926061 64.828292607 4.201346E-05 1.765131E-09

0.019075923 61.373994374 64.866703466 4.291359E-05 1.841577E-090.0184505697 61.507194622 64.903855129 4.373136E-05 1.912432E-09

0.017845717 61.636633108 64.939788873 4.445731E-05 1.976453E-090.0172606928 61.762413322 64.974544625 4.509526E-05 2.033582E-09

0.016694847 61.884636013 65.008161002 4.566787E-05 2.085554E-090.0161475509 62.003399255 65.040675356 4.616379E-05 2.131095E-090.0156181965 62.118798515 65.072123814 4.659611E-05 2.171198E-090.0151061956 62.230926719 65.102541318 4.696228E-05 2.205456E-090.0146109792 62.339874315 65.131961665 4.72752E-05 2.234945E-090.0141319972 62.445729337 65.160417544 4.752577E-05 2.258699E-090.0136687174 62.548577464 65.187940574 4.772647E-05 2.277816E-090.0132206249 62.648502082 65.214561334 4.787631E-05 2.292141E-09

0.012787222 62.74558434 65.240309403 4.797679E-05 2.301773E-090.012368027 62.839903211 65.265213391 4.803909E-05 2.307754E-09

0.0119625742 62.931535541 65.289300968 4.806222E-05 2.309977E-090.0115704131 63.020556111 65.312598898 4.804233E-05 2.308066E-09

0.011191108 63.107037684 65.335133067 4.798297E-05 2.302365E-090.0108242373 63.19105106 65.356928514 4.789626E-05 2.294052E-090.0104693936 63.272665125 65.378009455 4.777516E-05 2.282466E-090.0101261824 63.351946902 65.398399313 4.762651E-05 2.268284E-090.0097942225 63.428961597 65.418120745 4.744501E-05 2.251029E-090.0094731451 63.503772648 65.437195662 4.724807E-05 2.23238E-090.0091625933 63.57644177 65.455645259 4.702141E-05 2.211013E-090.0088622221 63.647029 65.473490034 4.67756E-05 2.187956E-090.0085716977 63.71559274 65.490749817 4.651318E-05 2.163476E-090.0082906975 63.782189801 65.507443783 4.622671E-05 2.136908E-090.0080189091 63.846875443 65.523590483 4.592742E-05 2.109328E-090.0077560305 63.909703417 65.539207855 4.560461E-05 2.079781E-090.0075017697 63.970726005 65.554313254 4.527574E-05 2.049893E-090.0072558442 64.029994055 65.568923463 4.493709E-05 2.019342E-090.0070179807 64.087557024 65.583054715 4.457518E-05 1.986947E-090.0067879149 64.14346301 65.596722711 4.420869E-05 1.954408E-090.0065653912 64.197758791 65.609942639 4.384102E-05 1.922035E-090.0063501624 64.250489859 65.622729187 4.345343E-05 1.888201E-09

Page 21: FOPDT

0.0061419892 64.301700452 65.635096561 4.305872E-05 1.854053E-090.0059406405 64.351433591 65.647058505 4.266541E-05 1.820337E-090.0057458924 64.39973111 65.658628307 4.226251E-05 1.78612E-090.0055575287 64.446633687 65.669818825 4.185476E-05 1.751821E-090.0053753399 64.492180877 65.680642492 4.14383E-05 1.717133E-090.0051991237 64.53641114 65.691111333 4.102688E-05 1.683205E-090.0050286843 64.579361871 65.701236981 4.060852E-05 1.649052E-090.0048638323 64.621069429 65.711030687 4.019254E-05 1.615441E-090.0047043845 64.661569164 65.720503333 3.97671E-05 1.581423E-090.0045501638 64.700895444 65.729665443 3.934709E-05 1.548193E-090.0044009988 64.739081681 65.738527198 3.892242E-05 1.514955E-090.0042567238 64.776160359 65.747098443 3.849676E-05 1.482E-090.0041171785 64.812163057 65.755388703 3.807653E-05 1.449822E-090.0039822078 64.847120474 65.76340719 3.765038E-05 1.417551E-090.0038516617 64.881062451 65.771162811 3.722892E-05 1.385992E-090.0037253952 64.914017996 65.778664185 3.681483E-05 1.355331E-090.0036032681 64.94601531 65.785919647 3.639328E-05 1.324471E-090.0034851446 64.9770818 65.792937257 3.598271E-05 1.294755E-090.0033708934 65.00724411 65.799724814 3.556578E-05 1.264925E-090.0032603876 65.036528134 65.806289859 3.516081E-05 1.236283E-090.0031535045 65.064959043 65.812639687 3.475334E-05 1.207794E-090.0030501253 65.092561299 65.818781352 3.434803E-05 1.179787E-090.0029501351 65.11935868 65.824721679 3.395084E-05 1.152659E-090.0028534227 65.145374292 65.830467269 3.355144E-05 1.125699E-090.0027598809 65.170630593 65.836024504 3.316587E-05 1.099975E-090.0026694055 65.195149409 65.841399561 3.276945E-05 1.073837E-090.0025818962 65.218951951 65.84659841 3.238993E-05 1.049107E-090.0024972556 65.24205883 65.851626829 3.201083E-05 1.024693E-090.0024153898 65.264490077 65.856490405 3.163504E-05 1.000775E-090.0023362076 65.286265159 65.861194541 3.126861E-05 9.77726E-100.0022596213 65.307402988 65.865744465 3.090476E-05 9.551039E-100.0021855456 65.327921946 65.870145232 3.054802E-05 9.331817E-100.0021138984 65.347839892 65.874401731 3.01887E-05 9.113573E-100.0020445998 65.367174179 65.878518693 2.983735E-05 8.902674E-100.0019775731 65.38594167 65.88250069 2.94896E-05 8.696368E-100.0019127436 65.404158749 65.886352149 2.915104E-05 8.49783E-100.0018500394 65.421841333 65.890077348 2.882227E-05 8.307234E-100.0017893908 65.43900489 65.893680426 2.849422E-05 8.119204E-100.0017307304 65.455664445 65.897165387 2.816347E-05 7.93181E-10

0.001673993 65.471834599 65.900536102 2.784787E-05 7.755037E-100.0016191156 65.487529535 65.903796318 2.753219E-05 7.580214E-100.0015660372 65.502763033 65.906949656 2.722399E-05 7.411456E-100.0015146989 65.517548479 65.90999962 2.691958E-05 7.246635E-100.0014650435 65.531898879 65.9129496 2.662011E-05 7.086304E-10

0.001417016 65.545826867 65.915802872 2.632786E-05 6.931563E-100.0013705629 65.559344717 65.918562607 2.604253E-05 6.782136E-100.0013256326 65.57246435 65.921231872 2.575777E-05 6.634628E-100.0012821753 65.585197348 65.923813632 2.547774E-05 6.491151E-100.0012401426 65.597554961 65.926310756 2.520382E-05 6.352326E-100.0011994878 65.609548118 65.928726019 2.494146E-05 6.220762E-10

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0.0011601658 65.621187433 65.931062103 2.467703E-05 6.089557E-100.0011221329 65.632483217 65.933321605 2.44149E-05 5.960873E-100.0010853467 65.643445485 65.935507035 2.416452E-05 5.839242E-100.0010497665 65.654083965 65.937620822 2.391766E-05 5.720542E-100.0010153527 65.664408104 65.939665314 2.367565E-05 5.605366E-100.0009820671 65.674427079 65.941642783 2.343687E-05 5.49287E-100.0009498727 65.684149804 65.943555426 2.319413E-05 5.379678E-100.0009187336 65.693584934 65.945405368 2.297229E-05 5.277259E-100.0008886154 65.702740876 65.947194664 2.274585E-05 5.173736E-100.0008594845 65.711625797 65.948925303 2.252673E-05 5.074534E-100.0008313086 65.720247624 65.950599208 2.231199E-05 4.97825E-100.0008040564 65.728614061 65.952218238 2.210176E-05 4.884879E-100.0007776975 65.736732585 65.953784193 2.188712E-05 4.790461E-100.0007522028 65.744610459 65.955298812 2.168813E-05 4.703749E-100.0007275438 65.752254737 65.956763778 2.149188E-05 4.61901E-100.0007036932 65.759672269 65.958180719 2.130065E-05 4.537175E-100.0006806245 65.766869705 65.95955121 2.111005E-05 4.456343E-100.0006583121 65.773853506 65.960876773 2.092734E-05 4.379535E-100.0006367311 65.780629941 65.96215888 2.073966E-05 4.301336E-100.0006158575 65.787205103 65.963398958 2.056247E-05 4.228152E-100.0005956683 65.793584905 65.964598382 2.03879E-05 4.156665E-100.0005761409 65.79977509 65.965758487 2.022327E-05 4.089806E-100.0005572536 65.805781233 65.96688056 2.004957E-05 4.019854E-100.0005389856 65.811608749 65.96796585 1.989007E-05 3.95615E-100.0005213164 65.817262894 65.969015561 1.97289E-05 3.892294E-100.0005042264 65.822748774 65.97003086 1.95797E-05 3.833647E-100.0004876967 65.828071343 65.971012876 1.942438E-05 3.773066E-100.0004717088 65.833235414 65.971962698 1.927182E-05 3.71403E-100.0004562451 65.838245658 65.972881383 1.912665E-05 3.658289E-100.0004412883 65.843106611 65.973769952 1.898813E-05 3.605492E-100.0004268219 65.847822678 65.974629391 1.884896E-05 3.552834E-100.0004128297 65.852398133 65.975460656 1.871422E-05 3.502218E-100.0003992961 65.856837128 65.97626467 1.858026E-05 3.452262E-100.0003862063 65.861143691 65.977042326 1.845377E-05 3.405416E-100.0003735455 65.865321737 65.977794489 1.833067E-05 3.360133E-100.0003612998 65.869375062 65.978521995 1.820523E-05 3.314303E-100.0003494556 65.873307353 65.979225651 1.808911E-05 3.27216E-100.0003379996 65.877122191 65.97990624 1.797049E-05 3.229385E-100.0003269192 65.88082305 65.980564517 1.785315E-05 3.187349E-10

0.000316202 65.884413304 65.981201214 1.774568E-05 3.14909E-100.0003058362 65.887896226 65.981817039 1.763063E-05 3.108392E-100.0002958102 65.891274996 65.982412676 1.752377E-05 3.070825E-100.0002861128 65.8945527 65.982988787 1.742327E-05 3.035705E-100.0002767334 65.897732332 65.983546011 1.731903E-05 2.999487E-100.0002676614 65.900816801 65.984084968 1.722189E-05 2.965934E-100.0002588868 65.903808927 65.984606257 1.712302E-05 2.931979E-100.0002503999 65.906711452 65.985110457 1.703322E-05 2.901307E-100.0002421912 65.909527034 65.985598128 1.694227E-05 2.870406E-100.0002342516 65.912258255 65.986069812 1.684831E-05 2.838656E-100.0002265723 65.914907618 65.986526033 1.675725E-05 2.808054E-10

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0.0002191448 65.917477558 65.986967298 1.667218E-05 2.779616E-100.0002119607 65.919970432 65.987394097 1.659281E-05 2.753214E-100.0002050121 65.922388533 65.987806905 1.651492E-05 2.727426E-100.0001982913 65.924734084 65.98820618 1.642984E-05 2.699395E-100.0001917909 65.927009242 65.988592366 1.635392E-05 2.674507E-100.0001855035 65.929216103 65.988965892 1.627808E-05 2.649759E-100.0001794223 65.931356699 65.989327173 1.620729E-05 2.626762E-100.0001735404 65.933433003 65.98967661 1.613013E-05 2.60181E-100.0001678514 65.93544693 65.990014592 1.606833E-05 2.581912E-100.0001623488 65.937400339 65.990341494 1.599636E-05 2.558836E-100.0001570266 65.939295032 65.990657679 1.593101E-05 2.537969E-100.0001518789 65.941132761 65.990963499 1.586094E-05 2.515695E-10

0.0001469 65.942915223 65.991259294 1.580638E-05 2.498415E-100.0001420843 65.944644068 65.991545391 1.573865E-05 2.477049E-100.0001374264 65.946320895 65.99182211 1.567987E-05 2.458582E-100.0001329212 65.947947257 65.992089757 1.562257E-05 2.440648E-100.0001285638 65.949524661 65.992348631 1.556938E-05 2.424057E-100.0001243492 65.951054568 65.992599017 1.551266E-05 2.406427E-100.0001202727 65.952538398 65.992841196 1.54542E-05 2.388323E-100.0001163299 65.953977527 65.993075435 1.540492E-05 2.373114E-100.0001125163 65.955373292 65.993301995 1.535454E-05 2.357619E-100.0001088278 65.956726989 65.993521129 1.530134E-05 2.341311E-100.0001052601 65.958039876 65.993733078 1.525184E-05 2.326187E-100.0001018095 65.959313174 65.993938079 1.521054E-05 2.313606E-109.847191E-05 65.960548068 65.99413636 1.515966E-05 2.298154E-109.524377E-05 65.961745708 65.994328141 1.511889E-05 2.285809E-109.212146E-05 65.962907208 65.994513635 1.507514E-05 2.2726E-10

8.91015E-05 65.964033652 65.994693048 1.503231E-05 2.259705E-108.618055E-05 65.965126089 65.994866579 1.499105E-05 2.247317E-108.335535E-05 65.966185539 65.995034421 1.494856E-05 2.234593E-108.062277E-05 65.96721299 65.995196762 1.490832E-05 2.222582E-107.797976E-05 65.968209402 65.99535378 1.486999E-05 2.211165E-10

7.54234E-05 65.969175706 65.995505651 1.483907E-05 2.201981E-107.295085E-05 65.970112804 65.995652543 1.479685E-05 2.189467E-107.055935E-05 65.971021574 65.99579462 1.476009E-05 2.178602E-106.824625E-05 65.971902865 65.995932039 1.473094E-05 2.170005E-106.600898E-05 65.972757503 65.996064953 1.469671E-05 2.159932E-106.384505E-05 65.973586287 65.99619351 1.465972E-05 2.149073E-106.175206E-05 65.974389995 65.996317853 1.462712E-05 2.139527E-105.972768E-05 65.97516938 65.996438119 1.460077E-05 2.131825E-105.776967E-05 65.975925173 65.996554443 1.456703E-05 2.121983E-105.587585E-05 65.976658084 65.996666953 1.453665E-05 2.113142E-105.404411E-05 65.977368799 65.996775775 1.451463E-05 2.106744E-105.227241E-05 65.978057987 65.99688103 1.448004E-05 2.096716E-10

5.05588E-05 65.978726296 65.996982834 1.445595E-05 2.089744E-104.890137E-05 65.979374353 65.997081301 1.442923E-05 2.082026E-104.729827E-05 65.980002768 65.99717654 1.441048E-05 2.076619E-104.574772E-05 65.980612134 65.997268656 1.438388E-05 2.06896E-10

4.4248E-05 65.981203022 65.997357753 1.435708E-05 2.061256E-104.279745E-05 65.98177599 65.997443929 1.433107E-05 2.053797E-10

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4.139445E-05 65.982331579 65.99752728 1.431012E-05 2.047796E-104.003744E-05 65.98287031 65.997607898 1.429161E-05 2.0425E-103.872492E-05 65.983392693 65.997685874 1.426596E-05 2.035175E-103.745543E-05 65.983899221 65.997761293 1.424653E-05 2.029636E-103.622755E-05 65.984390372 65.99783424 1.422953E-05 2.024795E-103.503993E-05 65.984866609 65.997904796 1.42039E-05 2.017508E-103.389124E-05 65.985328382 65.997973039 1.418125E-05 2.011079E-10

3.27802E-05 65.985776129 65.998039044 1.416575E-05 2.006686E-103.170559E-05 65.986210272 65.998102886 1.414407E-05 2.000547E-103.066621E-05 65.986631222 65.998164635 1.413527E-05 1.998058E-10

2.96609E-05 65.987039378 65.998224359 1.411073E-05 1.991128E-102.868854E-05 65.987435126 65.998282126 1.409411E-05 1.986439E-102.774807E-05 65.987818841 65.998337999 1.408121E-05 1.982805E-102.683842E-05 65.988190886 65.99839204 1.405995E-05 1.976823E-102.595859E-05 65.988551615 65.99844431 1.40503E-05 1.974109E-102.510761E-05 65.988901369 65.998494866 1.403416E-05 1.969577E-102.428453E-05 65.989240481 65.998543765 1.401537E-05 1.964307E-102.348842E-05 65.989569271 65.99859106 1.39996E-05 1.959889E-102.271842E-05 65.989888053 65.998636806 1.39943E-05 1.958404E-102.197365E-05 65.99019713 65.998681051 1.397863E-05 1.954021E-102.125331E-05 65.990496795 65.998723847 1.396344E-05 1.949776E-102.055657E-05 65.990787332 65.998765239 1.395117E-05 1.946353E-101.988268E-05 65.991069019 65.998805274 1.393584E-05 1.942078E-101.923088E-05 65.991342124 65.998843997 1.392297E-05 1.93849E-101.860045E-05 65.991606906 65.99888145 1.391951E-05 1.937529E-101.799068E-05 65.991863617 65.998917676 1.390387E-05 1.933177E-10

1.74009E-05 65.992112503 65.998952714 1.389579E-05 1.930931E-101.683046E-05 65.9923538 65.998986604 1.388635E-05 1.928306E-101.627872E-05 65.992587739 65.999019382 1.386787E-05 1.923179E-101.574507E-05 65.992814542 65.999051086 1.386395E-05 1.922092E-101.522891E-05 65.993034426 65.999081751 1.384936E-05 1.918048E-101.472967E-05 65.993247601 65.99911141 1.384003E-05 1.915464E-101.424679E-05 65.993454271 65.999140097 1.3833E-05 1.913518E-101.377975E-05 65.993654632 65.999167844 1.382639E-05 1.911691E-101.332802E-05 65.993848877 65.999194681 1.380939E-05 1.906992E-101.289109E-05 65.994037191 65.999220638 1.380216E-05 1.904996E-101.246849E-05 65.994219754 65.999245744 1.379587E-05 1.903261E-101.205975E-05 65.994396741 65.999270027 1.379263E-05 1.902366E-10

1.16644E-05 65.994568322 65.999293515 1.378545E-05 1.900385E-101.128202E-05 65.99473466 65.999316232 1.377823E-05 1.898395E-101.091216E-05 65.994895915 65.999338204 1.376573E-05 1.894954E-101.055444E-05 65.995052241 65.999359456 1.376355E-05 1.894352E-101.020844E-05 65.995203789 65.999380012 1.374806E-05 1.890091E-109.873783E-06 65.995350703 65.999399894 1.374642E-05 1.889642E-109.550097E-06 65.995493125 65.999419123 1.373656E-05 1.88693E-109.237023E-06 65.995631191 65.999437723 1.372709E-05 1.884331E-108.934212E-06 65.995765033 65.999455713 1.372736E-05 1.884404E-108.641327E-06 65.995894781 65.999473113 1.371737E-05 1.881663E-108.358044E-06 65.996020558 65.999489942 1.37178E-05 1.88178E-108.084048E-06 65.996142487 65.99950622 1.370994E-05 1.879624E-10

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7.819034E-06 65.996260683 65.999521964 1.37057E-05 1.878463E-107.562708E-06 65.996375261 65.999537192 1.36976E-05 1.876242E-107.314785E-06 65.99648633 65.999551921 1.368871E-05 1.873807E-107.074989E-06 65.996593999 65.999566167 1.368267E-05 1.872153E-106.843054E-06 65.996698369 65.999579946 1.368364E-05 1.872421E-106.618723E-06 65.996799543 65.999593274 1.367633E-05 1.870419E-106.401746E-06 65.996897616 65.999606164 1.367591E-05 1.870305E-106.191882E-06 65.996992685 65.999618632 1.366807E-05 1.868163E-105.988897E-06 65.99708484 65.999630691 1.365896E-05 1.865672E-105.792567E-06 65.99717417 65.999642355 1.365518E-05 1.864638E-105.602673E-06 65.997260762 65.999653636 1.365375E-05 1.86425E-105.419005E-06 65.997344698 65.999664548 1.365217E-05 1.863816E-105.241357E-06 65.997426061 65.999675102 1.364828E-05 1.862757E-105.069533E-06 65.997504928 65.99968531 1.364038E-05 1.860601E-104.903342E-06 65.997581376 65.999695183 1.363712E-05 1.859711E-104.742599E-06 65.997655478 65.999704732 1.363753E-05 1.859822E-104.587126E-06 65.997727307 65.999713969 1.363099E-05 1.858039E-104.436749E-06 65.997796932 65.999722903 1.362725E-05 1.85702E-104.291302E-06 65.997864419 65.999731544 1.362638E-05 1.856782E-104.150623E-06 65.997929835 65.999739901 1.361878E-05 1.854711E-104.014556E-06 65.997993242 65.999747985 1.361516E-05 1.853724E-103.882949E-06 65.998054702 65.999755803 1.361653E-05 1.8541E-103.755657E-06 65.998114275 65.999763366 1.361422E-05 1.853471E-103.632538E-06 65.998172018 65.99977068 1.360983E-05 1.852273E-103.513455E-06 65.998227987 65.999777755 1.360521E-05 1.851017E-103.398276E-06 65.998282236 65.999784597 1.360252E-05 1.850284E-103.286872E-06 65.998334819 65.999791216 1.360414E-05 1.850727E-103.179121E-06 65.998385785 65.999797617 1.360273E-05 1.850344E-103.074902E-06 65.998435185 65.999803809 1.360118E-05 1.849921E-10

2.9741E-06 65.998483066 65.999809797 1.35926E-05 1.847587E-102.876602E-06 65.998529475 65.99981559 1.359033E-05 1.846972E-10

2.7823E-06 65.998574457 65.999821192 1.358796E-05 1.846326E-102.69109E-06 65.998618055 65.999826611 1.358924E-05 1.846674E-10

2.602869E-06 65.998660313 65.999831852 1.358816E-05 1.84638E-102.517541E-06 65.99870127 65.999836921 1.357889E-05 1.843863E-10

2.43501E-06 65.998740968 65.999841824 1.358581E-05 1.845742E-102.355185E-06 65.998779444 65.999846567 1.358346E-05 1.845104E-102.277977E-06 65.998816735 65.999851153 1.357658E-05 1.843234E-102.203299E-06 65.998852879 65.99985559 1.358006E-05 1.84418E-10

2.13107E-06 65.99888791 65.999859881 1.356898E-05 1.841173E-102.061208E-06 65.998921863 65.999864031 1.356858E-05 1.841064E-101.993637E-06 65.99895477 65.999868046 1.357424E-05 1.842599E-101.928281E-06 65.998986664 65.999871929 1.357149E-05 1.841854E-101.865068E-06 65.999017575 65.999875684 1.356603E-05 1.840372E-101.803926E-06 65.999047535 65.999879316 1.356369E-05 1.839736E-101.744789E-06 65.999076571 65.99988283 1.356042E-05 1.838849E-101.687591E-06 65.999104712 65.999886228 1.356232E-05 1.839365E-101.632268E-06 65.999131987 65.999889514 1.356562E-05 1.840261E-101.578758E-06 65.99915842 65.999892693 1.355667E-05 1.837832E-101.527003E-06 65.999184039 65.999895768 1.356193E-05 1.839259E-10

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1.476944E-06 65.999208868 65.999898742 1.355798E-05 1.838189E-101.428527E-06 65.999232932 65.999901618 1.355153E-05 1.836441E-101.381696E-06 65.999256254 65.999904401 1.354938E-05 1.835857E-101.336401E-06 65.999278856 65.999907092 1.354843E-05 1.835601E-101.292591E-06 65.999300761 65.999909694 1.35557E-05 1.83757E-101.250216E-06 65.999321991 65.999912212 1.354829E-05 1.835562E-101.209231E-06 65.999342565 65.999914647 1.355341E-05 1.83695E-10

1.16959E-06 65.999362505 65.999917002 1.354835E-05 1.835578E-101.131248E-06 65.999381829 65.99991928 1.355049E-05 1.836159E-101.094163E-06 65.999400557 65.999921483 1.354731E-05 1.835296E-101.058294E-06 65.999418707 65.999923614 1.354635E-05 1.835037E-101.023601E-06 65.999436296 65.999925675 1.354525E-05 1.834739E-109.900446E-07 65.999453343 65.999927668 1.354172E-05 1.833782E-109.575887E-07 65.999469863 65.999929596 1.354354E-05 1.834275E-109.261967E-07 65.999485873 65.999931461 1.353857E-05 1.832929E-108.958338E-07 65.999501388 65.999933265 1.354474E-05 1.8346E-108.664663E-07 65.999516424 65.99993501 1.354004E-05 1.833328E-108.380615E-07 65.999530996 65.999936697 1.354254E-05 1.834004E-108.105878E-07 65.999545117 65.99993833 1.354036E-05 1.833413E-107.840149E-07 65.999558802 65.999939908 1.354168E-05 1.833772E-10

7.58313E-07 65.999572065 65.999941435 1.353476E-05 1.831898E-107.334538E-07 65.999584917 65.999942912 1.35379E-05 1.832746E-107.094094E-07 65.999597372 65.999944341 1.353944E-05 1.833166E-106.861534E-07 65.999609442 65.999945722 1.353782E-05 1.832726E-106.636596E-07 65.999621138 65.999947059 1.353149E-05 1.831012E-106.419033E-07 65.999632474 65.999948351 1.353897E-05 1.833037E-106.208602E-07 65.999643458 65.999949601 1.352882E-05 1.830289E-10

6.00507E-07 65.999654103 65.99995081 1.352965E-05 1.830514E-105.80821E-07 65.999664418 65.99995198 1.353012E-05 1.830642E-10

5.617803E-07 65.999674415 65.999953111 1.352893E-05 1.83032E-105.433638E-07 65.999684102 65.999954205 1.353483E-05 1.831916E-105.255511E-07 65.999693489 65.999955263 1.352659E-05 1.829686E-105.083223E-07 65.999702586 65.999956287 1.353304E-05 1.831432E-104.916583E-07 65.999711401 65.999957277 1.353305E-05 1.831434E-104.755406E-07 65.999719943 65.999958234 1.352551E-05 1.829395E-104.599513E-07 65.999728221 65.999959161 1.352936E-05 1.830437E-10

4.44873E-07 65.999736243 65.999960056 1.352358E-05 1.828872E-104.30289E-07 65.999744016 65.999960923 1.352716E-05 1.82984E-10

4.161832E-07 65.999751549 65.999961761 1.352914E-05 1.830376E-104.025397E-07 65.999758848 65.999962571 1.352859E-05 1.830229E-103.893435E-07 65.999765921 65.999963355 1.352462E-05 1.829154E-103.765799E-07 65.999772775 65.999964114 1.352635E-05 1.829621E-103.642348E-07 65.999779417 65.999964847 1.352293E-05 1.828697E-103.522943E-07 65.999785853 65.999965556 1.352356E-05 1.828867E-103.407453E-07 65.999792089 65.999966243 1.352744E-05 1.829917E-103.295748E-07 65.999798133 65.999966906 1.352382E-05 1.828937E-103.187706E-07 65.999803988 65.999967548 1.352195E-05 1.828431E-103.083206E-07 65.999809663 65.999968169 1.352112E-05 1.828207E-102.982131E-07 65.999815161 65.999968769 1.352065E-05 1.828079E-10

2.88437E-07 65.999820489 65.99996935 1.351986E-05 1.827865E-10

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2.789813E-07 65.999825652 65.999969912 1.352811E-05 1.830096E-102.698357E-07 65.999830655 65.999970455 1.352477E-05 1.829194E-102.609898E-07 65.999835502 65.999970981 1.351925E-05 1.8277E-10

2.52434E-07 65.999840199 65.999971489 1.352095E-05 1.828161E-102.441586E-07 65.999844751 65.999971981 1.351932E-05 1.82772E-102.361545E-07 65.999849161 65.999972456 1.35238E-05 1.828933E-102.284128E-07 65.999853434 65.999972916 1.352388E-05 1.828952E-102.209249E-07 65.999857575 65.999973361 1.351903E-05 1.827641E-102.136825E-07 65.999861588 65.999973791 1.351876E-05 1.827569E-102.066775E-07 65.999865475 65.999974207 1.35226E-05 1.828607E-101.999021E-07 65.999869242 65.99997461 1.352008E-05 1.827926E-101.933488E-07 65.999872893 65.999974999 1.352076E-05 1.828109E-101.870104E-07 65.999876429 65.999975376 1.35242E-05 1.829039E-101.808798E-07 65.999879857 65.99997574 1.351998E-05 1.827899E-101.749501E-07 65.999883177 65.999976092 1.351771E-05 1.827284E-101.692148E-07 65.999886395 65.999976433 1.351698E-05 1.827087E-101.636676E-07 65.999889512 65.999976763 1.351742E-05 1.827207E-101.583022E-07 65.999892533 65.999977081 1.351867E-05 1.827544E-101.531127E-07 65.99989546 65.99997739 1.352036E-05 1.828002E-101.480933E-07 65.999898296 65.999977688 1.352217E-05 1.82849E-101.432384E-07 65.999901044 65.999977976 1.352375E-05 1.828917E-101.385427E-07 65.999903706 65.999978255 1.351478E-05 1.826492E-10

1.34001E-07 65.999906286 65.999978525 1.351496E-05 1.826541E-101.296081E-07 65.999908785 65.999978786 1.351398E-05 1.826277E-101.253593E-07 65.999911207 65.999979038 1.352156E-05 1.828326E-101.212497E-07 65.999913554 65.999979283 1.351741E-05 1.827205E-101.172749E-07 65.999915827 65.999979519 1.352127E-05 1.828248E-101.134303E-07 65.99991803 65.999979747 1.352287E-05 1.828681E-101.097118E-07 65.999920165 65.999979968 1.352196E-05 1.828434E-101.061152E-07 65.999922233 65.999980182 1.351829E-05 1.827441E-101.026365E-07 65.999924236 65.999980388 1.352162E-05 1.828342E-109.927182E-08 65.999926178 65.999980588 1.352173E-05 1.828372E-109.601746E-08 65.999928059 65.999980782 1.351839E-05 1.827469E-109.286978E-08 65.999929881 65.999980969 1.352139E-05 1.82828E-108.982529E-08 65.999931647 65.999981149 1.352052E-05 1.828045E-10

8.68806E-08 65.999933358 65.999981324 1.351558E-05 1.826709E-108.403246E-08 65.999935016 65.999981494 1.351637E-05 1.826923E-108.127768E-08 65.999936622 65.999981657 1.351271E-05 1.825934E-107.861321E-08 65.999938178 65.999981816 1.351442E-05 1.826396E-107.603609E-08 65.999939685 65.999981969 1.352132E-05 1.82826E-107.354345E-08 65.999941146 65.999982117 1.351323E-05 1.826074E-107.113252E-08 65.999942561 65.99998226 1.352E-05 1.827904E-106.880063E-08 65.999943932 65.999982399 1.352146E-05 1.8283E-106.654518E-08 65.999945261 65.999982533 1.351747E-05 1.82722E-106.436368E-08 65.999946548 65.999982662 1.351787E-05 1.827328E-106.225368E-08 65.999947795 65.999982787 1.351252E-05 1.825881E-106.021286E-08 65.999949003 65.999982909 1.352127E-05 1.828248E-105.823894E-08 65.999950174 65.999983026 1.3514E-05 1.826283E-105.632974E-08 65.999951308 65.999983139 1.352058E-05 1.828061E-105.448311E-08 65.999952407 65.999983249 1.352087E-05 1.82814E-10

Page 28: FOPDT

5.269703E-08 65.999953471 65.999983355 1.351476E-05 1.826488E-105.09695E-08 65.999954502 65.999983458 1.351213E-05 1.825777E-10

4.929861E-08 65.999955502 65.999983557 1.351287E-05 1.825976E-104.768248E-08 65.99995647 65.999983653 1.351685E-05 1.827053E-104.611934E-08 65.999957407 65.999983746 1.351399E-05 1.826279E-104.460743E-08 65.999958316 65.999983836 1.351417E-05 1.826328E-104.314509E-08 65.999959196 65.999983923 1.351729E-05 1.827172E-10

4.17307E-08 65.999960049 65.999984007 1.351326E-05 1.826083E-104.036268E-08 65.999960876 65.999984088 1.351199E-05 1.825739E-103.903949E-08 65.999961676 65.999984167 1.351338E-05 1.826115E-103.775969E-08 65.999962452 65.999984243 1.351735E-05 1.827188E-103.652184E-08 65.999963203 65.999984316 1.351381E-05 1.826231E-103.532456E-08 65.999963931 65.999984387 1.351268E-05 1.825926E-103.416655E-08 65.999964636 65.999984456 1.351388E-05 1.826251E-103.304648E-08 65.99996532 65.999984523 1.351734E-05 1.827186E-103.196314E-08 65.999965981 65.999984587 1.351298E-05 1.826007E-103.091532E-08 65.999966623 65.999984649 1.351073E-05 1.825399E-102.990184E-08 65.999967244 65.999984709 1.351052E-05 1.825342E-102.892159E-08 65.999967846 65.999984768 1.351229E-05 1.825819E-102.797347E-08 65.999968429 65.999984824 1.351596E-05 1.826812E-102.705643E-08 65.999968994 65.999984879 1.351148E-05 1.825601E-102.616946E-08 65.999969541 65.999984931 1.351879E-05 1.827576E-102.531156E-08 65.999970071 65.999984982 1.351782E-05 1.827314E-102.448179E-08 65.999970585 65.999985031 1.351852E-05 1.827505E-102.367922E-08 65.999971082 65.999985079 1.351084E-05 1.825429E-102.290297E-08 65.999971565 65.999985125 1.351473E-05 1.826478E-102.215215E-08 65.999972032 65.99998517 1.351012E-05 1.825234E-102.142595E-08 65.999972484 65.999985213 1.351698E-05 1.827087E-102.072356E-08 65.999972922 65.999985255 1.351525E-05 1.82662E-102.004418E-08 65.999973347 65.999985295 1.351489E-05 1.826522E-10

1.93871E-08 65.999973758 65.999985334 1.351585E-05 1.826782E-101.875154E-08 65.999974157 65.999985372 1.351809E-05 1.827389E-101.813682E-08 65.999974543 65.999985408 1.351157E-05 1.825626E-101.754225E-08 65.999974917 65.999985444 1.351625E-05 1.82689E-101.696718E-08 65.999975279 65.999985478 1.351209E-05 1.825765E-101.641095E-08 65.99997563 65.999985511 1.351904E-05 1.827645E-101.587297E-08 65.99997597 65.999985543 1.351708E-05 1.827115E-101.535261E-08 65.999976299 65.999985574 1.351617E-05 1.826868E-101.484932E-08 65.999976618 65.999985604 1.351627E-05 1.826895E-101.436253E-08 65.999976928 65.999985633 1.351735E-05 1.827186E-101.389168E-08 65.999977227 65.999985661 1.351937E-05 1.827735E-101.343628E-08 65.999977517 65.999985688 1.351232E-05 1.825828E-101.299581E-08 65.999977798 65.999985714 1.351615E-05 1.826863E-101.256979E-08 65.99997807 65.999985739 1.351084E-05 1.825428E-101.215771E-08 65.999978334 65.999985764 1.351636E-05 1.82692E-101.175916E-08 65.99997859 65.999985787 1.351268E-05 1.825926E-101.137366E-08 65.999978837 65.99998581 1.350978E-05 1.825142E-101.100081E-08 65.999979077 65.999985832 1.351763E-05 1.827263E-101.064018E-08 65.999979309 65.999985854 1.35162E-05 1.826878E-101.029136E-08 65.999979534 65.999985875 1.351548E-05 1.826683E-10

Page 29: FOPDT

9.953993E-09 65.999979752 65.999985895 1.351544E-05 1.826671E-109.627669E-09 65.999979963 65.999985914 1.351605E-05 1.826837E-10

9.31206E-09 65.999980168 65.999985933 1.35173E-05 1.827175E-109.006783E-09 65.999980366 65.999985951 1.351917E-05 1.827679E-108.711524E-09 65.999980558 65.999985968 1.351163E-05 1.82564E-108.425943E-09 65.999980744 65.999985985 1.351466E-05 1.82646E-108.149712E-09 65.999980924 65.999986002 1.351825E-05 1.827431E-107.882548E-09 65.999981098 65.999986018 1.351238E-05 1.825843E-107.624138E-09 65.999981267 65.999986033 1.351703E-05 1.8271E-107.374211E-09 65.999981431 65.999986048 1.351218E-05 1.825789E-107.132456E-09 65.999981589 65.999986062 1.351781E-05 1.827313E-106.898645E-09 65.999981743 65.999986076 1.351392E-05 1.826261E-106.672494E-09 65.999981892 65.99998609 1.351049E-05 1.825333E-106.453746E-09 65.999982036 65.999986103 1.351749E-05 1.827226E-106.242175E-09 65.999982176 65.999986115 1.351492E-05 1.826532E-106.037553E-09 65.999982311 65.999986127 1.351277E-05 1.825949E-105.839624E-09 65.999982442 65.999986139 1.351101E-05 1.825473E-105.648189E-09 65.999982569 65.99998615 1.350964E-05 1.825102E-105.463022E-09 65.999982692 65.999986161 1.351864E-05 1.827535E-105.283937E-09 65.999982811 65.999986172 1.3518E-05 1.827362E-105.110707E-09 65.999982926 65.999986182 1.35177E-05 1.827283E-104.943175E-09 65.999983038 65.999986192 1.351775E-05 1.827296E-104.781128E-09 65.999983146 65.999986202 1.351812E-05 1.827397E-104.624383E-09 65.999983251 65.999986211 1.351881E-05 1.827583E-104.472795E-09 65.999983353 65.99998622 1.350981E-05 1.825149E-104.326154E-09 65.999983451 65.999986229 1.35111E-05 1.825497E-104.184344E-09 65.999983546 65.999986237 1.351267E-05 1.825922E-104.047166E-09 65.999983639 65.999986245 1.351452E-05 1.826423E-103.914494E-09 65.999983728 65.999986253 1.351664E-05 1.826995E-10

3.78617E-09 65.999983815 65.999986261 1.351901E-05 1.827638E-103.662038E-09 65.999983899 65.999986268 1.351164E-05 1.825644E-103.541999E-09 65.99998398 65.999986275 1.351451E-05 1.826419E-103.425882E-09 65.999984059 65.999986282 1.351761E-05 1.827258E-103.313573E-09 65.999984135 65.999986289 1.351094E-05 1.825455E-103.204946E-09 65.999984209 65.999986296 1.351448E-05 1.826413E-103.099885E-09 65.99998428 65.999986302 1.351824E-05 1.827429E-102.998263E-09 65.99998435 65.999986308 1.351221E-05 1.825797E-102.899966E-09 65.999984417 65.999986314 1.351637E-05 1.826922E-102.804896E-09 65.999984482 65.999986319 1.351072E-05 1.825395E-102.712952E-09 65.999984545 65.999986325 1.351526E-05 1.826621E-102.624006E-09 65.999984606 65.99998633 1.350997E-05 1.825193E-102.537988E-09 65.999984665 65.999986335 1.351486E-05 1.826515E-102.454783E-09 65.999984722 65.99998634 1.350992E-05 1.825179E-102.374321E-09 65.999984778 65.999986345 1.351514E-05 1.82659E-102.296474E-09 65.999984831 65.999986349 1.351051E-05 1.82534E-102.221199E-09 65.999984883 65.999986354 1.351604E-05 1.826834E-102.148383E-09 65.999984934 65.999986358 1.351172E-05 1.825664E-102.077954E-09 65.999984983 65.999986362 1.351753E-05 1.827236E-102.009827E-09 65.99998503 65.999986367 1.351348E-05 1.826143E-101.943945E-09 65.999985076 65.99998637 1.350957E-05 1.825085E-10

Page 30: FOPDT

1.880224E-09 65.99998512 65.999986374 1.351578E-05 1.826764E-101.818577E-09 65.999985163 65.999986378 1.351212E-05 1.825774E-101.758963E-09 65.999985205 65.999986381 1.351858E-05 1.82752E-101.701295E-09 65.999985245 65.999986385 1.351515E-05 1.826594E-101.645532E-09 65.999985284 65.999986388 1.351184E-05 1.825699E-101.591587E-09 65.999985322 65.999986391 1.351864E-05 1.827535E-101.539405E-09 65.999985358 65.999986394 1.351554E-05 1.826697E-101.488942E-09 65.999985394 65.999986397 1.351254E-05 1.825887E-101.440128E-09 65.999985428 65.9999864 1.350964E-05 1.825103E-10

1.39292E-09 65.999985461 65.999986403 1.351683E-05 1.827048E-101.34726E-09 65.999985494 65.999986406 1.351412E-05 1.826315E-10

1.303093E-09 65.999985525 65.999986409 1.35115E-05 1.825606E-101.260375E-09 65.999985555 65.999986411 1.351896E-05 1.827623E-10

1.21905E-09 65.999985584 65.999986413 1.35165E-05 1.826959E-101.179089E-09 65.999985613 65.999986416 1.351413E-05 1.826317E-101.140435E-09 65.99998564 65.999986418 1.351183E-05 1.825697E-101.103047E-09 65.999985667 65.99998642 1.350961E-05 1.825096E-101.066894E-09 65.999985693 65.999986423 1.351746E-05 1.827219E-101.031921E-09 65.999985718 65.999986425 1.351539E-05 1.826657E-109.980852E-10 65.999985742 65.999986427 1.351338E-05 1.826114E-109.653718E-10 65.999985765 65.999986429 1.351143E-05 1.825588E-109.337242E-10 65.999985788 65.99998643 1.350955E-05 1.82508E-10

9.03114E-10 65.99998581 65.999986432 1.351773E-05 1.827292E-108.734986E-10 65.999985831 65.999986434 1.351598E-05 1.826816E-108.448637E-10 65.999985852 65.999986436 1.351427E-05 1.826356E-108.171668E-10 65.999985872 65.999986437 1.351263E-05 1.825912E-107.903793E-10 65.999985891 65.999986439 1.351104E-05 1.825481E-107.644729E-10 65.99998591 65.999986441 1.35095E-05 1.825066E-107.394192E-10 65.999985928 65.999986442 1.351801E-05 1.827366E-107.151755E-10 65.999985946 65.999986443 1.351657E-05 1.826977E-106.917276E-10 65.999985963 65.999986445 1.351518E-05 1.8266E-10

6.69047E-10 65.999985979 65.999986446 1.351383E-05 1.826236E-106.471197E-10 65.999985995 65.999986447 1.351253E-05 1.825884E-106.259029E-10 65.999986011 65.999986449 1.351127E-05 1.825543E-106.053824E-10 65.999986026 65.99998645 1.351005E-05 1.825214E-105.855441E-10 65.99998604 65.999986451 1.351887E-05 1.827598E-105.663452E-10 65.999986054 65.999986452 1.351773E-05 1.82729E-105.477716E-10 65.999986068 65.999986453 1.351662E-05 1.826991E-105.298233E-10 65.999986081 65.999986454 1.351556E-05 1.826703E-105.124576E-10 65.999986094 65.999986455 1.351453E-05 1.826424E-104.956462E-10 65.999986106 65.999986456 1.351353E-05 1.826154E-104.794032E-10 65.999986118 65.999986457 1.351256E-05 1.825894E-10

4.63686E-10 65.99998613 65.999986458 1.351163E-05 1.825641E-10

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