Aasimako at 21:25, 1 November 2012

2012-11-01T21:25:43Z

Aasimako at 01:36, 16 October 2012

2012-10-16T01:36:53Z

Aasimako at 01:35, 16 October 2012

2012-10-16T01:35:27Z

Aasimako at 01:35, 16 October 2012

2012-10-16T01:35:17Z

Aasimako at 01:35, 16 October 2012

2012-10-16T01:35:01Z

Aasimako at 01:33, 16 October 2012

2012-10-16T01:33:38Z

Aasimako: Created page with "{| width=100% |- | colspan=2 align=center | Feedback Control TheoryNOTOC [http://www. http://www.cds.caltech.edu/wiki/index.php/CDS_212_F..."

2012-10-16T01:29:55Z

Created page with "{| width=100% |- | colspan=2 align=center | Feedback Control Theory__NOTOC__ [http://www. http://www.cds.caltech.edu/wiki/index.php/CDS_212_F..."

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{| width=100%
|-
| colspan=2 align=center |
Feedback Control Theory__NOTOC__

[http://www. http://www.cds.caltech.edu/wiki/index.php/CDS_212_Fall_2012]
|- valign=top
| width=50% |
'''Instructor'''
* [http://cds-web1.cds.caltech.edu/~doyle2/wiki/index.php?title=Main_Page John Doyle], doyle@cds.caltech.edu
* Lectures: Tu/Th, 2:30-4 pm, 314 Annenberg
| width=50% |
'''Teaching Assistants'''
*Aristo Asimakopoulos, aristo@cds.caltech.edu
* Office hours: TBD, TTh 2:30-4 (for week of October 15-19), 234 Annenenberg
|}

=== 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.

*Last year's homepage: [http://www.cds.caltech.edu/wiki/index.php?title=CDS_212_Fall_2011&oldid=266]

=== Textbook ===

The two primary texts for the course (available via the online bookstore) are
{|
|- valign=top
| align=right |  [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.
|- valign=top
| align=right |  [DP] 
| G. Dullerud and F. Paganini, ''A Course in Robust Control Theory'', Springer, 2000.
|}

The following additional texts may be useful for some students:
{|
|- valign=top
| align=right |  [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 ===

{| width=100% border=1 cellspacing=0 cellpadding=5
|-
| '''Week'''
| '''Date'''
| '''Trunk'''
| '''Reading'''
| '''Homework'''
|- valign=top
| 1
| 27 Sep  29 Sep
|
* Norms for signals and systems
| {{DFT}} Ch 1, 2  DP Ch 3
| [http://www.cds.caltech.edu/~nali/pub/CDS212/homework_1.pdf HW1]
|- valign=top
| 2
| 4 Oct 6 Oct
|
* Feedback, stability and performance
| {{DFT}} Ch 3 ({{FBS}} 9.1-9.3) ({{FBS}} 11.1-11.2)
| [http://www.cds.caltech.edu/~nali/pub/CDS212/homework_2.pdf HW2]
|- valign=top
| 3
| 11 Oct 13 Oct
|
* Uncertainty and robustness
| {{DFT}} Ch 4 ({{FBS}} 12.1‑12.3)
| [http://www.cds.caltech.edu/~nali/pub/CDS212/homework_3.pdf HW3]
|- valign=top
| style="border-bottom:3px solid gray;" | 4
| style="border-bottom:3px solid gray;" | 18 Oct 20 Oct
| style="border-bottom:3px solid gray;" |
*Fundamental limits

| style="border-bottom:3px solid gray;" | {{DFT}} Ch 6 ({{FBS}} 11.4, 12.4)
| style="border-bottom:3px solid gray;" | [http://www.cds.caltech.edu/~nali/pub/CDS212/homework_4.pdf HW4]
|- valign=top
| 5
| 25 Oct 27 Oct
|
*Fundamental limits in control and information theory
*Realization theory, controllability, observability
* Lyapunov equation and stability conditions
| DP Ch 2 ,4 
| [http://www.cds.caltech.edu/~nali/pub/CDS212/homework_5.pdf HW5] [http://www.cds.caltech.edu/~nali/pub/CDS212/week_5/analytic_function.pdf analytic_function.pdf]
|- valign=top
| style="border-bottom:3px solid gray;" | 6
| style="border-bottom:3px solid gray;" | 1 Nov 3 Nov
| style="border-bottom:3px solid gray;" |
* LMIs
* Model reduction
| style="border-bottom:3px solid gray;" | DP Ch 2,4 [http://www.stanford.edu/class/ee364a/lectures/duality.pdf Duality] [http://www.cds.caltech.edu/~nali/pub/CDS212/week_6/SDP_LMI.pdf SDP Duality and LTI] [http://www.stanford.edu/~boyd/lmibook/lmibook.pdf LMIs] Ch 2
| style="border-bottom:3px solid gray;" | NO HW
|- valign=top
| 7
| 8 Nov 10 Nov
|
* SDP duality for LTI
* H2 optimal control
| DP Ch 5, 6 [http://www.cds.caltech.edu/~nali/pub/CDS212/week_6/SDP_LMI.pdf SDP Duality and LTI]
| [http://www.cds.caltech.edu/~nali/pub/CDS212/homework_6.pdf HW6]
|- valign=top
| 8 9
| 15 Nov 17 Nov 22 Nov
|
* H2 synthesis by SDP
* KYP Lemma
* MIMO
* Model Uncertainty
* SOS
| DP Ch 6, 7 , 8 [http://www.cds.caltech.edu/~nali/pub/CDS212/week_8/Megretskich8.pdf Megretskich8] [http://www.cds.caltech.edu/~nali/pub/CDS212/week_8/rantzerKYP.pdf RantzerKYP] [http://www.cds.caltech.edu/~nali/pub/CDS212/week_8/MIMO.pdf MIMO] [http://www.cds.caltech.edu/~nali/pub/CDS212/week_9/PabloSOS.pdf SOS]
|[http://www.cds.caltech.edu/~nali/pub/CDS212/homework_7.pdf HW7]
|- valign=top
| style="border-bottom:3px solid gray;" | 10
| style="border-bottom:3px solid gray;" | 29 Nov 1 Dec
| style="border-bottom:3px solid gray;" |
* Studying the Logistic Map and the Mandelbrot Set using SOS Methods
* System identification
* Heart rate variability
| rowspan=2 style="border-bottom:3px solid gray;" |
| rowspan=2 style="border-bottom:3px solid gray;" | []
|}

=== 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.

=== Additional References (Optional)===

[[Category:Courses]]

← Older revision		Revision as of 01:36, 16 October 2012
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−	*CDS 212 Homepage which has links to most of the papers that will be reading material for this year's class. \\ http://www.cds.caltech.edu/wiki/index.php?title=CDS_212_Fall_2011	+	*CDS 212 Homepage which has links to most of the papers that will be reading material for this year's class. <br /> http://www.cds.caltech.edu/wiki/index.php?title=CDS_212_Fall_2011

	=== Textbook ===		=== Textbook ===

← Older revision		Revision as of 01:35, 16 October 2012
Line 20:		Line 20:


−	*CDS 212 Homepage which has links to most of the papers that will be reading material for this year's class. // http://www.cds.caltech.edu/wiki/index.php?title=CDS_212_Fall_2011	+	*CDS 212 Homepage which has links to most of the papers that will be reading material for this year's class. \\ http://www.cds.caltech.edu/wiki/index.php?title=CDS_212_Fall_2011

	=== Textbook ===		=== Textbook ===

← Older revision		Revision as of 01:35, 16 October 2012
Line 20:		Line 20:


−	*CDS 212 Homepage which has links to most of the papers that will be reading material for this year's class. http://www.cds.caltech.edu/wiki/index.php?title=CDS_212_Fall_2011	+	*CDS 212 Homepage which has links to most of the papers that will be reading material for this year's class. // http://www.cds.caltech.edu/wiki/index.php?title=CDS_212_Fall_2011

	=== Textbook ===		=== Textbook ===

← Older revision		Revision as of 01:35, 16 October 2012
Line 20:		Line 20:


−	*CDS 212 Homepage which has links to most of the papers that will be reading material for this year's class. [http://www.cds.caltech.edu/wiki/index.php?title=CDS_212_Fall_2011~~&oldid=266]~~	+	*CDS 212 Homepage which has links to most of the papers that will be reading material for this year's class. http://www.cds.caltech.edu/wiki/index.php?title=CDS_212_Fall_2011

	=== Textbook ===		=== Textbook ===

← Older revision		Revision as of 01:33, 16 October 2012
Line 20:		Line 20:


−	*~~Last~~ year's ~~homepage:~~ [http://www.cds.caltech.edu/wiki/index.php?title=CDS_212_Fall_2011&oldid=266]	+	*CDS 212 Homepage which has links to most of the papers that will be reading material for this year's class. [http://www.cds.caltech.edu/wiki/index.php?title=CDS_212_Fall_2011&oldid=266]

	=== Textbook ===		=== Textbook ===

@@ Line 13: / Line 13: @@
 '''Teaching Assistants'''
 *Aristo Asimakopoulos, aristo@cds.caltech.edu
-* Office hours: TBD, TTh 2:30-4 (for week of October 15-19), 234 Annenenberg
+* Office hours: Wednesdays 1-4PM , 234 Annenenberg
 |}

CDS 212 Fall 2012 - Revision history

Aasimako at 21:25, 1 November 2012

Aasimako at 01:36, 16 October 2012

Aasimako at 01:35, 16 October 2012

Aasimako at 01:35, 16 October 2012

Aasimako at 01:35, 16 October 2012

Aasimako at 01:33, 16 October 2012

Aasimako: Created page with "{| width=100% |- | colspan=2 align=center | Feedback Control Theory__NOTOC__ [http://www. http://www.cds.caltech.edu/wiki/index.php/CDS_212_F..."

Aasimako: Created page with "{| width=100% |- | colspan=2 align=center | Feedback Control TheoryNOTOC [http://www. http://www.cds.caltech.edu/wiki/index.php/CDS_212_F..."