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ECE 515: Control System Theory and Design (Fall 2008)

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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 486) and emphasizes state-space techniques for the analysis of dynamical systems and the synthesis of control laws meeting given design specifications. Some familiarity 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 9:30-10:50, Room 1109 Siebel Center.

Prerequisite: ECE 486 (Control Systems I) or equivalent.

Instructor: Daniel Liberzon
Office: 144 CSL
Email: liberzon at uiuc.edu
Office hours: TBA

Teaching assistants: Anoosh Saboori and Yoav Sharon
Email: saboori2,ysharon2 at uiuc.edu
Office hours: TBA

Required texts:

T. Basar, S. P. Meyn, W. R. Perkins, ECE 515 Class Notes. Available for purchase in Room 54 Everitt Lab.

C.-T. Chen, Linear System Theory and Design, 3rd edition. Oxford University Press, 1999. Available in the bookstore.

Supplementary texts (on reserve in Grainger Library):

W. J. Rugh, Linear System Theory, 2nd edition. Prentice Hall, 1996.
R. W. Brockett, Finite Dimensional Linear Systems, Wiley, 1970.
See more reserve materials

Assignments and grading policy: There will be weekly problem sets, one midterm exam (in class, mid-to-late October), and one final exam (8:30-11:00 AM, Tuesday, December 16). Grade break-down: homework 30%, midterm 30%, final 40%. Late homework will not be accepted.

ASSIGNMENTS AND SOLUTIONS

Brief course outline: (see class notes for more details)

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.