ECE 515 - CONTROL SYSTEM THEORY AND DESIGN Fall 2007, ECE, University of Illinois at Urbana-Champaign

"It is with logic that one proves; it
 is with intuition that one invents."
                  ---- Henri Poincare

• December 11: Solution to homework #8 is posted below.
• December 7: The Final Exam is on December 15 from 8:00am to 11:00am at Room 252 of 1MEB (Mechanical Engineering Building). You can bring two-page letter-size cheat sheets. No calculator, computer, or cell phone is allowed. Bring your own pen or pencil.
• December 7: The TA and I will have office hours next week as usual. If you want to have other appointments with me or the TA, please send email requests. Your homework #7 should be graded soon and available for pickup at the TA's office hours. The solution is posted below. A new homework #8 is posted below but you do not have to turn it in. I will post solution soon.
• December 7: Some students asked for the lecture notes for the one covered by the TA on dynamic observer. The notes are posted below as Handout #5.
  
  
• November 28: Homework #7 is assigned below.
• November 14: There is no homework for the Thanksgiving break. A new homework #7 will be posted shortly after the break. Happy Thanksgiving to everyone. Also, you can check out some of my new son's pictures at Picassa.
• November 14: Solution to Homework #6 is posted below.
• November 1: Homework #6 is posted below. Solution for Homework #5 is now available.
• October 24: Homework #5 is posted below.
• October 16: There is no lecture on Thursday, October 18. You can use it to prepare midterm. I will be in my office for questions.
• October 16: About Midterm Exam: Students with last name "A-L" will be in room 241 Everitt Lab and with last name "M-Z" will be in room 245 Everitt Lab. Time: 7-9pm Thursday, October 18. One letter-size cheat sheet is allowed. No calculator, computer, or cell phone is allowed. Bring your own pen or pencil.
• October 16: Solution for Homework #4 is posted below.
• October 8: Some hints are given for homework #4 in the file updated below.
• October 4: Solution for Homework #2 is slightly updated -- some typos and minor errors are corrected for problem 2 and 6.
• October 3: Homework 4 is available for download below.
• October 3: Solution for Homework #3 is avaialable for download below.
• September 25: Solution for Homework #2 is available for download below.
• September 20: Homework 3 is available for download below.
• September 19: You may now look at your grades for this course on Compass.
• September 17: Solution for Homework #1 is available for download below.
• September 12: Three handouts on linear algebra are posted below.
• September 12: Homework #2 is available for download below.
• August 31: A handout about linear algebra is posted below.
• August 31: Homework #1 is available for download below.
• August 22: Welcome to ECE515! To have a better idea what this course covers, you may download the outline of the course below as the first handout.

• Homework #1.
• Solution #1.
• Homework #2. Two additional matlab files for the homework are imagerec.mat and plotim.m.
• Solution #2.
• Homework #3.
• Solution #3.
• Homework #4.
• Solution #4.
• Homework #5.
• Solution #5.
• Homework #6.
• Solution #6.
• Homework #7.
• Solution #7 with two matlab files hw7sim.m and hw7.mdl.
• Homework #8.
• Solution #8

• Course Description and Outline.
• Basic Facts from Linear Algebra.
• Handout 1: Similarity Transformation.
• Handout 2: Important Facts in Linear Algebra.
• Handout 3: Singular Value Decomposition.
• Handout 4: Nineteen Ways to Compute Exponential of a Matrix.
• Handout 5: Lecture Notes on Dynamical Observers.

Teaching Assistant: Shankar Rao
Office Hours: Thursday 2:00-3:00pm; Place: 154 Coordinated Science Lab.
Email: srrao AT UIUC DOT EDU

Grading Policy: Homework (30%), one Midterm (30%), and one Final (40%). If you are among the top 3% in the final, you will get an "A" no matter how badly you have flunked your midterm or homework.

*Homework: You are allowed to discuss on the homework in small groups, but you must write the solution independently to hand in. No late homework will be accepted (unless an extension is granted by the instructor).

*Midterm Exam: 7:00-9:00 PM, Thursday, October 18, Place: 241&245 Everitt Lab.

*Final Exam: 8:00-11:00 AM, Saturday, December 15, Place: 252 1MEB.

Prerequisites:

*Undergraduate-level Linear Algebra (such as Math125), Signal and Systems (such as ECE210 and ECE310).

*First-level course in Control (such as ECE 486).

*Familiarity with MATLAB is recommended. If you have never used it before, it is never too late to start learning now.

*You may not need any of the above, as long as you are mathematically sophisticated enough. But you'd better talk to me first before you go ahead and register in this course.

Required Texts:

*ECE 415 Lecture Notes on Control System Theory and Design, T. Basar, S. Meyn and W. Perkins, 2000. Available for purchase at 243 Everitt Lab (IEEE Office), starting August 22.

*Linear System Theory and Design, 3rd edition, C-T. Chen, Oxford University Press, 1999. Available at the campus bookstores.

Supplementary Text:

*Modern Control Theory, W. Brogan, Prentice Hall, 1996. (Also available for purchase at the bookstores)

*Feedback Systems: An Introduction to Scientists and Engineers, K. J. Astrom and R. Murray. (A good book to refresh your memory about undergraduate feedback control. A draft is available online.)

Incomplete List of Reserved References (in the Engineering Library):

*Linear Algebra and its Applications, G. Strang, 3rd ed., HBJ Inc., 1988.

* Linear Algebra, K. Hoffman and R. Kunze, Prentice Hall, 2nd edition, 1971.

* Applied Linear Algebra, B. Noble and J. Daniel,Prentice Hall, 3rd edition, 1988.

* Basic Algebra, N. Jacobson, Freeman, 1974.

* Linear Algebra, J. H. Wilkinson and C. Reinsch, Springer Verlag, 1971.

* Matrix Computations, G. H. Golub and C. van Loan, Johns Hopkins Press, 3rd edition, 1996.

* Applications of the Theory of Matrices, F. R. Gantmakher, Wiley Interscience Publishers, 1959.

* Linear System Theory, F. M. Callier and C. A. Desoer, Springer-Verlag, 1991. (Textbook used at UC Berkeley for an equivalent course)

*Linear Systems, T. Kailath, Prentice Hall, 1980. (Textbook used at Stanford for an equivalent course)

*Optimal Control: Linear Quadratic Methods, B. Anderson and J. Moore, Prentice Hall, 1990.

*Applied Optimal Control, A. E. Bryson and Y. C. Ho, 2nd ed., Blaisdell, 1979.

* Finite Dimensional Linear Systems, R. Brockett, John Wiley and Sons, Inc., 1970.

* Ordinary Differential Equations, V. I. Arnold, Springer Verlag, 1997.