ECE557F - Systems Control - General Information

Last modified 11/18/09.

Instructor
M. Maggiore GB437 maggiore (at) control.utoronto.ca

Teaching Assistant
Eric Kopp kopp (at) control.utoronto.ca

Lectures
Day and Time Room
Tue 13-14 GB304
Wed 17-18 BA1210
Thu 11-12 BA1210

Course Notes
You can download the course notes from the Course Documents section in the University of Toronto webportal here. The notes are self-contained and serve as a textbook for this course.

Reference Texts
If the course notes are not sufficient, you may consider consulting one of these references:
  • C.-T. Chen, Linear Systems Theory and Design, Third Ed., Oxford Univ. Press
  • Brogan, Modern Control Theory, Third Ed., Prentice Hall
  • P. Antsaklis, A. Michel, A Linear Systems Primer, Birkhäuser Boston

Course Outline

Parts already covered are colored in green.

  • Introduction to LTI systems; Relationship between state-space and transfer function representations
  • Linearization around equilibria
  • Solution to linear autonomous differential equations
  • Phase portraits and qualitative properties of second-order linear systems
  • Stability of LTI systems
  • Linear algebra review
  • System controllability and stabilizability
    • Controllability definition and characterization
    • The Kalman controllability decomposition
    • The pole placement theorem
    • PBH test and stabilizability
  • System observability
    • System duality
    • Observer design
    • The separation principle
  • Linear quadratic optimal control
  • Tracking and the output regulation problem

Midterm Exams
Midterm 1 Oct. 15, 11-12 SF3201
Midterm 2 Nov. 10, 6-8 SF3201

Composition of Final Mark
Labs 15%
Homeworks 5%
Midterm 1 10%
Midterm 2 20%
Exam 50%

Laboratories (BA3114)
You will perform four labs in this course. The first lab familiarizes you with the equipment the software platform.

Labs are performed in groups of two or three students. You'll form lab groups at the first lab session.

You can download the lab files from the Course Documents section in the University of Toronto webportal here.

All labs except the first one, require a preparation and a report. Each lab group submits a preparation at the beginning of the lab. One week after the lab, the lab group submits a lab report.

There are no make-up labs. The TA will mark down the attendance.
Section Day and Time Lab 1 Lab 2 Lab 3 Lab 4
PRA 01 Fri 9-12 Oct 16 Oct 30 Nov 13 Nov 27
PRA 02 Tue 17-20 Oct 20 Nov 3 Nov 17 Dec 1

Drop-off boxes

HOMEWORKS: Box 21 LAB REPORTS: Box 22

Box boxes are in the first floor of Sandford Fleming