ECE 415: Control System Theory and Design (Fall 2001)
This is a fundamental first-year graduate course on the modern theory
of dynamical systems and control. It builds on an introductory
undergraduate course in control (such as ECE 386) and emphasizes
state-space techniques for the analysis of dynamical systems and the
synthesis of control laws meeting given design specifications. Some
with linear algebra, as well as ordinary differential equations, is
strongly recommended, although the necessary material will be reviewed in
the context of the course.
Schedule: Tue Thu 11:30-12:50, 165 Everitt Lab.
Prerequisite: ECE 386 (Control Systems I) or equivalent.
Instructor: Daniel Liberzon
Office: 144 CSL
Email: liberzon at uiuc.edu
Office hours: Tue 2:30-4
Teaching assistant: Craig Janus
Office: 324 Everitt Lab
Office hours: Wed 2:30-4:30, Thu 10-11
C.-T. Chen, Linear System
Theory and Design,
3rd edition. Oxford University Press, 1999. Available in the bookstore.
T. Basar, S. P. Meyn, W. R. Perkins, ECE 415 Class Notes. Available for
purchase in 54 EL from Aug 22 to Sep 14.
Supplementary texts (on reserve in Grainger Library):
Assignments and grading policy: There will be weekly
sets, one midterm exam (Oct 17, 7-9pm), and one final exam
(Dec 12, 1:30-4:30pm).
The grade will be composed of homework (30%), midterm (30%), and final (40%).
W. J. Rugh, Linear System Theory, 2nd edition. Prentice Hall, 1996.
R. W. Brockett, Finite Dimensional Linear Systems,
PROBLEM SETS, EXAMS, AND SOLUTIONS
Brief course outline:
1. Introduction: state space models, review of linear algebra.
2. Analysis: state transition matrix,
stability, controllability, observability.
3. Design: state feedback, pole placement, observers, optimal control.
For a more detailed list of topics, see the textbook's contents.