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USING USING LINEAR ANALYSISLINEAR ANALYSIS IN MATLAB IN MATLAB FOR MEP 1422/1522 (MATLAB V7, R14)FOR MEP 1422/1522 (MATLAB V7, R14)
Dr. Nik Rumzi Nik Idris
Dept. of Energy ConversionFakulti Kejuruteraan ElektrikUniversiti Teknologi Malaysia
)1s1.0(s100
GOL
Say, we need to obtain Bode plot of this TF:
Which can be constructed using SIMULINK blocks:
Fakulti Kejuruteraan Elektrik
We can to put dummy blocks so that we can define the input-output points
Fakulti Kejuruteraan Elektrik
Right click the input point and select Linearization Points Input Point
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Right click the output point and select Linearization Points Output Point
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Start the Linear Analysis: Tools Control Design Linear Analysis
Fakulti Kejuruteraan Elektrik
Start the Linear Analysis: Tools Control Design Linear Analysis
Fakulti Kejuruteraan Elektrik
Select the Bode response plot and Linearize Model
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Select the Bode response plot and Linearize Model
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Try to place input point at several different input points. For each points, obtain the Bode plot
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The Bode plots of the 3 different input points:
Bode Diagram
Frequency (rad/sec)
-100
-50
0
50
100From: Input Point To: Output Point
Mag
nitu
de (
dB)
10-1
100
101
102
103
-180
-135
-90
-45
0
Phas
e (d
eg)
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Open-loop and close-loop plots
Bode Diagram
Frequency (rad/sec)
-100
-50
0
50
100From: Input Point To: Output Point
Mag
nitu
de (
dB)
10-1
100
101
102
103
-180
-135
-90
-45
0
Phas
e (d
eg)
Crossover frequency approximates close–loop bandwidth
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s
s1k
pik
ki
• Contain a zero and a pole at origin• DC gain can be adjusted independently from
location of zero
Transfer function
PI controller
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PI controller
Bode Diagram
Frequency (rad/sec)
-100
-50
0
50
100From: Input Point To: Output Point
Mag
nitu
de (
dB)
10-1
100
101
102
103
-90
-45
0
Phas
e (d
eg)
ki=1, kp=0.1
ki=100, kp=10
Fakulti Kejuruteraan Elektrik
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