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AFC @ MESA LABME280: Fractional Order Mechanics
General Motivations on Fractional Calculus and Fractional Order Thinking (FOT) –Part-1
YangQuan Chen, Ph.D., Director, MESA (Mechatronics, Embedded Systems and Automation)LAB
ME/EECS/SNRI/UCSolar, School of Engineering,University of California, Merced
E: [email protected]; or, [email protected]: (209)228-4672; O: SE1-254; Lab: Castle #22 (T: 228-4398)
09/03/2013. Thursday 09:00-10:15, KL217
AFC @ MESA LAB
What is “Fractional Calculus”?• Calculus: integration and differentiation.• “Fractional Calculus”: integration and
differentiation of non-integer orders.– Orders can be real number (and even complex
numbers!)– Orders are not constrained to be “integers” or even
“fractionals”
How this is possible?
Why should I care?
Any (good) consequences (to me)?09/03/2013 ME280 "Fractional Order Mechanics" @ UC Merced
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Slide credit: Igor Podlubny
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Slide credit: Igor Podlubny
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Slide credit: Igor Podlubny
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“Fractional Order Thinking” or, “In Between Thinking”
• For example– Between integers there are non-integers;– Between logic 0 and logic 1, there is the fuzzy logic;– Between integer order splines, there are “fractional order
splines”– Between integer high order moments, there are noninteger order
moments (e.g. FLOS)– Between “integer dimensions”, there are fractal dimensions– Fractional Fourier transform (FrFT) – in-between time-n-freq.– Non-Integer order calculus (fractional order calculus – abuse of
terminology.) (FOC – fractional order control, so we use FC, or AFC: Applied Fractional Calculus)
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Optimal filtering in fractional order Fourier domain
Slide credit: HALDUN M. OZAKTAS
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Optimal filtering in fractional Fourier domain
Slide credit: HALDUN M. OZAKTAS
AFC @ MESA LABConclusion of Talk
Integer-Order Calculus Fractional-Order Calculus
Slide credit: Richard L. Magin, ICCC12
8/29/2013 ME280 "Fractional Order Mechanics" @ UC Merced
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AFC @ MESA LAB• Integer-Order Calculus • Fractional-Order Calculus
Discrete gears vs. constantly-variable transmissionhttp://spectrum.ieee.org/energywise/energy/renewables/could-mechanics-best-power-
electronics-in-evsSlide credit: Calvin Coopmans, 2/28/2013 email comment
Earth/moon
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Slide credit: Igor Podlubny
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Slide credit: Igor Podlubny
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Slide credit: Igor Podlubny
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Slide credit: Igor Podlubny
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• Fractional Order System – official keyword of IFAC
• pid12.ing.unibs.it/
Good Consequences
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2001-2010 2005-2011
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ME280 "Fractional Order Mechanics" @ UC Merced
Good Consequences
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09/03/2013
Good Consequences
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ME280: Fractional Order Mechanics!
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One More Good Consequence?
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Slide credit: Igor Podlubny
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Why and How and WhenWhy – Many reasons. Dynamic systems modeling and controls. Better characterization, better control performanceHow – Analog versus digital realization methods. Many.When – Now. Ubiquitous. Take a try since we have the new tool.
Slide credit: Igor Podlubny
AFC @ MESA LAB
End of lecture side-remarks
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On Research Excellence
YangQuan Chen, Ph.D., Director, MESA (Mechatronics, Embedded Systems and Automation)LAB
MEAM/EECS, School of Engineering,University of California, Merced
E: [email protected]; or, [email protected]: (209)228-4672; O: SE1-254; Lab: CAS Eng 820 (T: 228-4398)
August 31, 2013. Saturday 2:00-2:25 PMR&R Day @ MESA LAB Symposium @ UCMerced
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THIS TALK
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Outline• Introducing new MESA Lab members• Research Excellence
–Finding (research problems to attack)–Writing–Reading–Presenting–Networking, ethics, broad impacts …
08/30/2013
AFC @ MESA LABNew MESA Lab members
• Ph.D. graduate students– Brendan Smith– Tiebiao Zhao
• MSc. graduate students– Sean Rider– Marwin Ko
• Visiting Scholars– Professor Zhanbing Bai– Mr. John Taizhi Lyu
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AFC @ MESA LABNew MESA Lab members
• Undergraduate researchers students– Richard Buettner – Bryan Huffman – Jeffry Piety– Fabian Iniguez (ME195)
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Welcome on board!
AFC @ MESA LAB
Say Goodbye to
• Miss Chun Yin, Exchange Ph.D. student, UESTC– Best Application Paper ASME/IEEE MESA 2013,
Portland, OR., part of ASME IDETC/CIE 2013.– SMC, FO SMC, FO SMC ESC, FO MPPT
• PV (photovoltaic)• CLC (cognitive lighting control)
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AFC @ MESA LABMechatronics, Embedded
Systems and Automation Lab
Real solutions for sustainability!
Education and Outreach Activities:
Projects Related to San Joaquin Valley:
mechatronics.ucmerced.eduDr. YangQuan Chen, [email protected]
• Unmanned Aerial Systems & UAV-based Personal Remote Sensing (PRS)
• Cyber-Physical Systems (CPS)• Mechatronics
• Applied Fractional Calculus
• Modeling and Control of Renewable Energy Systems
• Water (Water/soil salinity management, water sampling UAVs)
• Precision Ag/Environment (Crop dynamics, optimal harvest, pest …)
• Energy [Solar energy, CPV, Building efficiency (HVAC lighting), smart grids integration, NG pipelines]
• ME142 Mechatronics (take-home labs)
• ME280 Fractional Order Mechanics
• AfterShock• Academic Excellence Night• Robotics Club tutorials/workshops• Preview Day in Merced Mall• “The Drone Age” @ Castle Air
Museum• Robots-n-Ribs| MESABox! ASME
tutorials• 6 capstone teams (24 seniors) …
Established August 2012 @ Castle of 1500 sq ft4 Ph.D/1 MS/ 20+ undergrad members6 visiting scholars || Sponsored 2capstone projects and mentored 4+2 capstone teams (F’13)
Research Areas of Excellence: (ISI H-index=29, Google H-index=49; i10-index=217)
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Outline• Introducing new MESA Lab members• Research Excellence
–Finding (research problems to attack)–Writing–Reading–Presenting–Networking, ethics, broad impacts …
08/30/2013
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What to Research?
• First• Best• Or, different!• Or, do not bother!
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Credit: Richard Magin’s adviser
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• There is no place for second place in research• “Do something significant”• Research matters!• Research is an urgent matter!•Work harder and smarter!•Work hard but not harder to
damage your health and GPA.
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“I have to get you to drop modesty and say to yourself, ``Yes, I would like to do first-class work.'' Our society frowns on people who set out to do really good work. You're not supposed to; luck is supposed to descend on you and you do great things by chance. Well, that's a kind of dumb thing to say. I say, why shouldn't you set out to do something significant. You don't have to tell other people, but shouldn't you say to yourself, ``Yes, I would like to do something significant.”
Richard Hamming. “You and your research”http://www.youtube.com/watch?v=a1zDuOPkMSw
http://www.johndcook.com/blog/2013/02/14/you-and-your-research/
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“If you do not work on an important problem, it's unlikely you'll do important work. It's perfectly obvious. Great scientists have thought through, in a careful way, a number of important problems in their field, and they keep an eye on wondering how to attack them.” - Richard Hamming. 08/30/2013 Robotics&Ribs@MESALAB@UCMerced Symposium
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“One of the characteristics of successful scientists is having courage. Once you get your courage up and believe that you can do important problems, then you can. If you think you can't, almost surely you are not going to. Courage is one of the things that Shannon had supremely.” - Richard Hamming. 08/30/2013 Robotics&Ribs@MESALAB@UCMerced Symposium
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“You should do your job in such a fashion that others can build on top of it, so they will indeed say, ``Yes, I've stood on so and so’s shoulders and I saw further.'' The essence of science is cumulative. By changing a problem slightly you can often do great work rather than merely good work. Instead of attacking isolated problems, I made the resolution that I would never again solve an isolated problem except as characteristic of a class.” - Richard Hamming. 08/30/2013 Robotics&Ribs@MESALAB@UCMerced Symposium
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Outline• Introducing new MESA Lab members• Research Excellence
–Finding (research problems to attack)–Writing–Reading–Presenting–Networking, ethics, broad impacts …
08/30/2013
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If you do not write down or write up, it did not happen!
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Writing – A much needed habit
• A good habit for a good researcher!• Dr. Kevin L. Moore on writing/talking
– http://www.neng.usu.edu/classes/ece/4840/writingandtalking.pdf
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Outline• Introducing new MESA Lab members• Research Excellence
–Finding (research problems to attack)–Writing–Reading–Presenting–Networking, ethics, broad impacts …
08/30/2013
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Reading• If you are reading it, you will not publish
it!• Reading it to beat it.• Reading more and more and then less and
less• Read in brief and read to debrief.
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Outline• Introducing new MESA Lab members• Research Excellence
–Finding (research problems to attack)–Writing–Reading–Presenting–Networking, ethics, broad impacts …
08/30/2013
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“I” Words
• "informing”• "inspiring”• "impressing”• "intimidating”• "improvising”• "instilling”• “innovative”
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“I have now come down to a topic which is very distasteful; it is not sufficient to do a job, you have to sell it. `Selling' to a scientist is an awkward thing to do. It's very ugly; you shouldn't have to do it. The world is supposed to be waiting, and when you do something great, they should rush out and welcome it. But the fact is everyone is busy with their own work. You must present it so well that they will set aside what they are doing, look at what you've done, read it, and come back and say, ``Yes, that was good.”” - Richard Hamming.
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Tips: Dr. Kevin L. Moore on writing/talking– http://
www.neng.usu.edu/classes/ece/4840/writingandtalking.pdf
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There are three things you have to do in selling. You have to learn to write clearly and well so that people will read it, you must learn to give reasonably formal talks, and you also must learn to give informal talks. - Richard Hamming.
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Outline• Introducing new MESA Lab members• Research Excellence
–Finding (research problems to attack)–Writing–Reading–Presenting–Networking, ethics, broad impacts …
08/30/2013
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Networking
• A paper is a name card, an ad, a node of network– Send your paper to all cited authors in the paper?
• A paper must give your readers something new and useful (informing and inspiring further work)
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ethics
Ten lectures by Professor Michael C. Loui of UIUC. (I met him in person in NSF REU grantee meetings)
http://mechatronics.ucmerced.edu/lab-resources
• Every MESA LAB member should go watch these.
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AFC @ MESA LAB“Now self-delusion in humans is very, very common. There are
enumerable ways of you changing a thing and kidding yourself and making it look some other way. When you ask, ``Why didn't you do such and such,'' the person has a thousand alibis. If you look at the history of science, usually these days there are 10 people right there ready, and we pay off for the person who is there first. The other nine fellows say, ``Well, I had the idea but I didn't do it and so on and so on.'' There are so many alibis. Why weren't you first? Why didn't you do it right? Don't try an alibi. Don't try and kid yourself. You can tell other people all the alibis you want. I don't mind. But to yourself try to be honest.” - Richard Hamming.
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AFC @ MESA LAB“In summary, I claim that some of the reasons why so
many people who have greatness within their grasp don't succeed are: they don't work on important problems, they don't become emotionally involved, they don't try and change what is difficult to some other situation which is easily done but is still important, and they keep giving themselves alibis why they don't. They keep saying that it is a matter of luck. I've told you how easy it is; furthermore I've told you how to reform. Therefore, go forth and become great scientists!” - Richard Hamming.
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Yes, you can excel in research if you want and have the “drive”
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Deadlines for your (drone) papers! • 9/1/2013 RED-UAS, France.
https://www.hds.utc.fr/reduas2013/doku.php • 9/27/2013. ACC2014 Portland http://a2c2.org/conferences/acc2014/ • 10/30/2013. 2014 IFAC World Congress, Cape Town, South Africa
http://www.ifac2014.org/• 11/10/2013. ICFDA2014. Italy. http://www.icfda14.dieei.unict.it/ • 2/3/2014. ICUAS2014. Orlando, FL. http://uasconferences.com/• 3/10/2014, IEEE/RSJ IROS 2014 Chicago http://www.iros2014.org/• 3/20/2014. IEEE CDC 2014 in LA, CA. http://
control.disp.uniroma2.it/cdc2014/cfp.php• ICRA2014 in Hong Kong. (skip?)
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AFC @ MESA LABeducation
• Teachers can no longer only throw information, and facts at students and expect 'education' to occur!– Rob Reilly Ed.D. http://www.media.mit.edu/~reilly
• When you forgot everything, what’s left is “higher education” – YangQuan Chen (??)
• Google or wikipedia etc. can make you “informed” but not “educated”.– YangQuan Chen
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Thank you for attending my talk!
For more information, check
http://mechatronics.ucmerced.edu/
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Acknowledgements
• http://www.youtube.com/watch?v=a1zDuOPkMSw• Dr. Charles (Chuck) Swenson of Utah State
University for first bringing “You and Your Research” to my attention during our ECE Faculty Retreat in circa 2007(?) and his USU ECE 2011 Talk slides: http://www.neng.usu.edu/classes/ece/6800/fall11_resources/Swenson%20Fa11%20Presentation.pdf
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MESA Lab Philosophy and Ambition
• "We make real systems that work and others want them."
• MESA Lab: Staying on top and for sustainability.
• Nationally and internationally visible and prominent!
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Robotics&Ribs@MESALAB@UCMerced Seminar "MESALAB @/4 SJV"02/09/2013