ECE557F - Systems Control - General Information

Last modified 9/19/11.

Instructor

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

Teaching Assistants

Ashton Roza ashton.roza (at) utoronto.ca
Mohamed Helwa mkhelwa (at) scg.utoronto.ca

Lectures

Day and Time Room
Tue 13-14 GB404
Wed 17-18 BA1210
Thu 11-12 BA1200

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

  • 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 stabilisability
    • Controllability definition and characterisation
    • The Kalman controllability decomposition
    • The pole placement theorem
    • PBH test and stabilisability
  • System observability
    • System duality
    • Observer design
    • The separation principle
  • Linear quadratic optimal control
  • Tracking and the output regulation problem

Midterm Exams

Midterm 1 October 13, 11-12:10 in GB303
Midterm 2 November 17, 17-19 in GB405

Composition of Final Mark

Labs 15%
Homeworks 5%
Midterm 1 10%
Midterm 2 20%
Exam 50%

Tutorials

Tutorials are on Thursdays, 2-3PM in WB219. They begin on Thursday, Sept. 15.

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 14 Oct 28 Nov 11 Nov 25
PRA 02 Tue 17-20 Oct 18 Nov 1 Nov 15 Nov 29

Drop-off boxes

LAB REPORTS: box number 28 on the first floor of Sandford Fleming