YangQuan Chen, Ph.D., Director, MESA (Mechatronics, Embedded Systems and Automation) Lab

1. ME280: 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: yqchen@ieee.org; or, yangquan.chen@ucmerced.edu T: (209)228-4672; O: SE1-254; Lab: Castle #22 (T: 228-4398) 09/03/2013. Thursday 09:00-10:15, KL217

2. 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)? ME280 "Fractional Order Mechanics" @ UC Merced

3. Slide credit: Igor Podlubny ME280 "Fractional Order Mechanics" @ UC Merced

4. Slide credit: Igor Podlubny ME280 "Fractional Order Mechanics" @ UC Merced

5. Slide credit: Igor Podlubny ME280 "Fractional Order Mechanics" @ UC Merced

6. “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) ME280 "Fractional Order Mechanics" @ UC Merced

7. Optimal filtering in fractional order Fourier domain ME280 "Fractional Order Mechanics" @ UC Merced Slide credit: HALDUN M. OZAKTAS

8. Optimal filtering in fractional Fourier domain ME280 "Fractional Order Mechanics" @ UC Merced Slide credit: HALDUN M. OZAKTAS

9. Conclusion of Talk Fractional-Order Calculus Integer-Order Calculus Slide credit: Richard L. Magin, ICCC12 ME280 "Fractional Order Mechanics" @ UC Merced

10. Earth/moon • Fractional-Order Calculus • Integer-Order Calculus Discrete gears vs. constantly-variable transmission http://spectrum.ieee.org/energywise/energy/renewables/could-mechanics-best-power-electronics-in-evs Slide credit: Calvin Coopmans, 2/28/2013 email comment ME280 "Fractional Order Mechanics" @ UC Merced

11. Slide credit: Igor Podlubny ME280 "Fractional Order Mechanics" @ UC Merced

12. Slide credit: Igor Podlubny ME280 "Fractional Order Mechanics" @ UC Merced

13. Slide credit: Igor Podlubny ME280 "Fractional Order Mechanics" @ UC Merced

14. Slide credit: Igor Podlubny ME280 "Fractional Order Mechanics" @ UC Merced

15. Good Consequences • Fractional Order System – official keyword of IFAC • pid12.ing.unibs.it/ ME280 "Fractional Order Mechanics" @ UC Merced

16. Good Consequences 2001-2010 2005-2011 ME280 "Fractional Order Mechanics" @ UC Merced

17. Good Consequences ME280 "Fractional Order Mechanics" @ UC Merced

18. One More Good Consequence? ME280: Fractional Order Mechanics! ME280 "Fractional Order Mechanics" @ UC Merced

19. ME280 "Fractional Order Mechanics" @ UC Merced

20. Slide credit: Igor Podlubny ME280 "Fractional Order Mechanics" @ UC Merced

21. ME280 "Fractional Order Mechanics" @ UC Merced

22. Why and How and When Why – 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 ME280 "Fractional Order Mechanics" @ UC Merced

23. End of lecture side-remarks ME280 "Fractional Order Mechanics" @ UC Merced

24. 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: yqchen@ieee.org; or, yangquan.chen@ucmerced.edu T: (209)228-4672; O: SE1-254; Lab: CAS Eng 820 (T: 228-4398) August 31, 2013. Saturday 2:00-2:25 PM R&R Day @ MESA LAB Symposium @ UCMerced

25. THIS TALK Robotics&Ribs@MESALAB@UCMerced Symposium

26. Outline • Introducing new MESA Lab members • Research Excellence • Finding (research problems to attack) • Writing • Reading • Presenting • Networking, ethics, broad impacts … Robotics&Ribs@MESALAB@UCMerced Symposium

27. New MESA Lab members • Ph.D. graduate students • Brendan Smith • Tiebiao Zhao • MSc. graduate students • Sean Rider • MarwinKo • Visiting Scholars • Professor ZhanbingBai • Mr. John Taizhi Lyu Robotics&Ribs@MESALAB@UCMerced Symposium

28. New MESA Lab members • Undergraduate researchers students • Richard Buettner • Bryan Huffman • Jeffry Piety • Fabian Iniguez (ME195) Welcome on board! Robotics&Ribs@MESALAB@UCMerced Symposium

29. 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) Robotics&Ribs@MESALAB@UCMerced Symposium

30. mechatronics.ucmerced.edu Dr. YangQuan Chen, yqchen@ieee.org Research Areas of Excellence: Mechatronics, Embedded Systems and Automation Lab (ISI H-index=29, Google H-index=49; i10-index=217) • Unmanned Aerial Systems & UAV-based Personal Remote Sensing (PRS) • Cyber-Physical Systems (CPS) • Mechatronics • Applied Fractional Calculus • Modeling and Control of Renewable Energy Systems Real solutions for sustainability! Established August 2012 @ Castle of 1500 sqft 4 Ph.D/1 MS/ 20+ undergrad members 6 visiting scholars || Sponsored 2 capstone projects and mentored 4+2 capstone teams (F’13) Projects Related to San Joaquin Valley: Education and Outreach Activities: • Energy [Solar energy, CPV, Building efficiency (HVAC lighting), smart grids integration, NG pipelines] • 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) … • Water(Water/soil salinity management, water sampling UAVs) • Precision Ag/Environment (Crop dynamics, optimal harvest, pest …) • ME142 Mechatronics (take-home labs) • ME280 Fractional Order Mechanics

31. Outline • Introducing new MESA Lab members • Research Excellence • Finding (research problems to attack) • Writing • Reading • Presenting • Networking, ethics, broad impacts … Robotics&Ribs@MESALAB@UCMerced Symposium

32. What to Research? • First • Best • Or, different! • Or, do not bother! Credit: Richard Magin’s adviser Robotics&Ribs@MESALAB@UCMercedSymposium

33. 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. Robotics&Ribs@MESALAB@UCMerced Symposium

34. “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.” http://www.johndcook.com/blog/2013/02/14/you-and-your-research/ Richard Hamming. “You and your research” http://www.youtube.com/watch?v=a1zDuOPkMSw Robotics&Ribs@MESALAB@UCMerced Symposium

35. Robotics&Ribs@MESALAB@UCMerced Symposium

36. “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. Robotics&Ribs@MESALAB@UCMerced Symposium

37. “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. Robotics&Ribs@MESALAB@UCMercedSymposium

38. “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. Robotics&Ribs@MESALAB@UCMercedSymposium

39. Outline • Introducing new MESA Lab members • Research Excellence • Finding (research problems to attack) • Writing • Reading • Presenting • Networking, ethics, broad impacts … Robotics&Ribs@MESALAB@UCMerced Symposium

40. If you do not write down or write up, it did not happen! Robotics&Ribs@MESALAB@UCMerced Symposium

41. 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 Robotics&Ribs@MESALAB@UCMerced Symposium

42. Outline • Introducing new MESA Lab members • Research Excellence • Finding (research problems to attack) • Writing • Reading • Presenting • Networking, ethics, broad impacts … Robotics&Ribs@MESALAB@UCMerced Symposium

43. 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. Robotics&Ribs@MESALAB@UCMerced Symposium

44. Outline • Introducing new MESA Lab members • Research Excellence • Finding (research problems to attack) • Writing • Reading • Presenting • Networking, ethics, broad impacts … Robotics&Ribs@MESALAB@UCMerced Symposium

45. “I” Words • "informing” • "inspiring” • "impressing” • "intimidating” • "improvising” • "instilling” • “innovative” Robotics&Ribs@MESALAB@UCMerced Symposium

46. “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. Robotics&Ribs@MESALAB@UCMerced Symposium

47. Tips: Dr. Kevin L. Moore on writing/talking • http://www.neng.usu.edu/classes/ece/4840/writingandtalking.pdf 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. Robotics&Ribs@MESALAB@UCMerced Symposium

48. Outline • Introducing new MESA Lab members • Research Excellence • Finding (research problems to attack) • Writing • Reading • Presenting • Networking, ethics, broad impacts … Robotics&Ribs@MESALAB@UCMerced Symposium

49. 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 (informingand inspiring further work) Robotics&Ribs@MESALAB@UCMerced Symposium

50. 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. Robotics&Ribs@MESALAB@UCMerced Symposium