CDS 212 Fall 2011
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Feedback Control Theory | |
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Instructor
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Teaching Assistants
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Course Description
Introduction to modern feedback control theory with emphasis on the role of feedback in overall system analysis and design. Examples drawn from throughout engineering and science. Open versus closed loop control. State-space methods, time and frequency domain, stability and stabilization, realization theory. Time-varying and nonlinear models. Uncertainty and robustness.
Announcements
- 1 Dec 2011: Paper: HRV.pdf Supplementary; Slides: 1_HRV.pptx Dopamine.pptx EvoHumanPhys.pptx
- 29 Nov 2011: Slides: Mandelbrot.pptxLogisticsMandelbrot.pdfDennisFinalConnections2006.pdf; Paper:LogFinalCDC2006.pdf
- 22 Nov 2011: SOS.pdf
- 17 Nov 2011:
Reading materials: http://www.cds.caltech.edu/~nali/pub/CDS212/week_8/
Please read Megretskich8 and RantzerKYP; others are more adavanced
- 1st Nov 2011: Reading: SDP Duality and LTI Duality
- 25 Oct 2011: Notes from lecture: slides
- 19 Oct 2011: Notes from lecture: slides
Other materials: A Fundamental Limit on the Robustness of Complex Systems
- 13 Oct 2011: Notes from lecture: Chapter 4 Chapter 6
- 6 Oct 2011: Today's class: 2:00pm-3:00pm, 107 Annen
Reading materials: Internal model principle
- 5 Oct 2011: Doodle for class on Thu (7th Oct) and Tue (11 Oct): http://doodle.com/dgei34wxabpfx466
- 27 Sep 2011: Notes from Lecture 1: Lecture1BioBodePlusPlus.pptx; Lecture1Extras.pptx
Paper to read: Glycolytic Oscillations and Limits on Robust Efficiency(Supporting materials can be founded here); Architecture, constraints, and behavior
- 22 Sep 2011: created homepage; 2010 home page
Textbook
The two primary texts for the course (available via the online bookstore) are
| [DFT] | J. Doyle, B. Francis and A. Tannenbaum, Feedback Control Theory, Dover, 2009 (originally published by Macmillan, 1992). Available online at http://www.control.utoronto.ca/people/profs/francis/dft.html. |
| [DP] | G. Dullerud and F. Paganini, A Course in Robust Control Theory, Springer, 2000. |
The following additional texts may be useful for some students:
| [FBS] | K. J. Astrom and R. M. Murray, Feedback Systems: An Introduction for Scientists and Engineers, Princeton University Press, 2008. Available online at http://www.cds.caltech.edu/~murray/amwiki. |
Lecture Schedule
| Week | Date | Trunk | Reading | Homework |
| 1 | 27 Sep 29 Sep |
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DFT Ch 1, 2 DP Ch 3 |
HW1 |
| 2 | 4 Oct 6 Oct |
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DFT Ch 3 (FBS 9.1-9.3) (FBS 11.1-11.2) |
HW2 |
| 3 | 11 Oct 13 Oct |
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DFT Ch 4 (FBS 12.1‑12.3) |
HW3 |
| 4 | 18 Oct 20 Oct |
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DFT Ch 6 (FBS 11.4, 12.4) |
HW4 |
| 5 | 25 Oct 27 Oct |
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DP Ch 2 ,4 |
HW5 analytic_function.pdf |
| 6 | 1 Nov 3 Nov |
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DP Ch 2,4 Duality SDP Duality and LTI LMIs Ch 2 |
NO HW |
| 7 | 8 Nov 10 Nov |
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DP Ch 5, 6 SDP Duality and LTI |
HW6 |
| 8 9 |
15 Nov 17 Nov 22 Nov |
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DP Ch 6, 7 , 8 Megretskich8 RantzerKYP MIMO SOS |
HW7 |
| 10 | 29 Nov 1 Dec |
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Grading
The final grade will be based on homework: There will be 9 one-week problem sets, due each Thursday by 5pm in the TA's mailbox on the third floor of Annenberg. Each student may hand in at most one homework late (no more than 5 days).
The lowest homework score you receive will be dropped in computing your homework average. In addition, if your score on the final is higher than the weighted average of your homework and final, your final will be used to determine your course grade.
Collaboration Policy
Collaboration on homework assignments is encouraged. You may consult outside reference materials, other students, the TA, or the instructor. Use of solutions from previous years in the course is not allowed. All solutions that are handed should reflect your understanding of the subject matter at the time of writing.
