ECE 515 Home Page

ECE 515/ME 540: Control System Theory and Design (Fall 2022)

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.

Announcements:

The final exam will be on Tuesday Dec 13, 7:00-10:00pm, here is more info and a practice exam

The Thu Nov 17 class will be on Zoom (link sent by email).

No class on Tue Nov 8 (Election Day). DL's office hours that day are also canceled.

Pre-midterm Zoom office hours: Wed Oct 26, 5:00-6:00pm (time subject to change, please check your email on that day) instead of Friday.

The midterm will be on Thursday Oct 27 in class, here is more info and a practice exam and here are practice exam solutions.

Office hours on Friday Sep 23 (on Zoom) will be from 11:00 to 11:45am.

Classes and office hours will be canceled during the week of the Allerton Conference, Sep 27-30. More details to follow by email.

The lectures will be delivered in-person. They will also be captured on video and can be accessed later through this Mediaspace channel (Illinois login required).

Homework:

Homework 1 (posted Aug 25, due Sep 1) Homework 2 (posted Sep 1, due Sep 8) Homework 3 (posted Sep 8, due Sep 15) Homework 4 (posted Sep 15, due Sep 22) Homework 5 (posted Sep 22, due Sep 29) Homework 6 (posted Sep 29, due Oct 6) Homework 7 (posted Oct 6, due Oct 13) Homework 8 (posted Oct 13, due Oct 20) Homework 9 (posted Oct 20, due Nov 3) Homework 10 (posted Nov 6, due Nov 17) Homework 11 (posted Nov 20, due Dec 8)

For solutions and grades, please go to Canvas

Schedule: Tue Thu 2:00-3:20pm, 3017 ECE Building

Prerequisite: ECE 486 (Control Systems I) or equivalent, or consent of instructor.

Instructor: Daniel Liberzon
Office: 144 CSL
Email: liberzon at illinois.edu
Office hours: Tue 11:30-12:30 in person and Fri 11:30-12:30 on Zoom (subject to change, check announcements above and email)

Teaching assistant: Emre Eraslan
Email: emree2 at illinois.edu
Office hours: Tue 5:00-7:00pm, 3036 ECEB (subject to change, check communications from the TA on Canvas and email)

Class notes:

T. Basar, S. P. Meyn, W. R. Perkins, ECE 515 Class Notes. Available for purchase in ECE copy room, 1031 ECEB.

Recommended texts:

J. P. Hespanha, Linear Systems Theory, Princeton University Press, 2009, 2018. Available online through Grainger Library.
C.-T. Chen, Linear System Theory and Design, 3rd edition. Oxford University Press, 1999. On reserve in Grainger Library.
R. W. Brockett, Finite Dimensional Linear Systems, Wiley, 1970, reprinted by SIAM, 2015.
W. J. Rugh, Linear System Theory, 2nd edition. Prentice Hall, 1996.

Assignments and grading policy:
There will be weekly problem sets, one midterm exam (date to be announced), and the final exam (per university schedule the final will be on Tue Dec 13, 7-10pm).
Grade break-down: homework 30%, midterm 30%, final 40%. Late homework will not be accepted.

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.