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CDS 212 -- Fall 2007
Introduction to Modern Control
Prerequisites: ACM 95/100 abc or equivalent; CDS 110 ab or equivalent.
Introduction to modern control systems with emphasis on the role of control 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.
Danielle C. Tarraf
Steele 17, x-3370
Office hours: Thursday 4:00 - 4:45 pm in Steele 17
T & Th 1:00 - 2:25 pm; Steele 214

Course Announcements

  • Your midterm exam will be held during class on Thursday November 1st - it is an 85 minute closed book exam.
  • If you are taking the class (whether for credit or as a listener), please sign up for the class mailing list here.

Course Policy
  • You will have a total of 4 homework assignments (see "Schedule" below). Homework extensions will be given only under special circumstances: You should contact me in advance to request an extension. No late homeworks will be otherwise accepted.
  • There will be an in-class midterm exam on Thursday, November 1, covering the first 7 lectures.
  • There will be a comprehensive take home final exam, to be picked up between 2:30 and 5 pm on Thursday, December 6, and to be returned 24 hours later.
  • Your homeworks, midterm and final exams will contribute to 40%, 25% and 35% of your final grade, respectively.
  • Discussing the homework among your colleagues is permitted; however, you should write up your own solution.
  • No collaboration is allowed on the exams.
  • (Required) J.C. Doyle, B. Francis and A. Tannenbaum, "Feedback Control Theory", Macmillan Publishing Co., 1990. This book is out of print but may be downloaded here.
  • (Required) G.E. Dullerud and F.G. Paganini, "A Course in Robust Control Theory: A Convex Approach", Springer-Verlag NY Inc, 2000.
  • (Recommended) K. Zhou and J.C. Doyle, "Essentials of Robust Control", Prentice Hall Inc, 1998.


Lecture and Assignment Schedule

Homework Assignments*
  • Problem Set 1 (Posted on: October 9. Due in class: October 18.)
    [ps] [pdf]

  • Problem Set 2 (Posted on: October 21. Due in class: October 30.)
    [ps] [pdf]

  • Midterm Exam

  • Problem Set 3 (Posted on: November 12. Due in class: November 20.)
    [ps] [pdf]

  • Problem Set 4 (Posted on: November 23. Due in class: December 4.)
    [ps] [pdf]

  • Final Exam

  • [*Certain problems are adapted from lecture notes by M. A. Dahleh and by A. Megretski, with their permission.]