ECE1619H Linear Geometric Control Theory (Last updated November 25, 2009)

Instructor

GB434A

broucke (at) control.utoronto.ca

Lecture Schedule

Lecture Section	Day and Time	Location
Lecture 1	Tue 14-16	Walberg 119

References

Course notes will be distributed to registered students. In addition the following three references may be helpful. The course covers roughly the first seven chapters of the book by Wonham. Since this text is out of print, copies will be made available.

Controlled and Conditioned Invariants in Linear System Theory. G. Basile and G. Marro, 1992.
Control Theory for Linear Systems. H. Trentelman, A. Stoorvogel, and M. Hautus, 2001.
Linear Multivariable Control: a Geometric Approach. W.M. Wonham, 1985.

Course Outline

Here is a nominal timetable of lecture topics. This schedule may be updated as the semester progresses.

Date	Lecture	Topics
Sept 15	1	Introduction, linear systems, subspaces, linear equations
Sept 22	2	Quotient spaces, projection maps, induced maps
Sept 29	3	Minimal polynomial, modal subspaces
Oct 1	4	Controllability, stabilizability
Oct 13	5	Observability, observers
Oct 20	6	Stabilization by measurement feedback
Oct 27	7	Controlled invariant subspaces
Nov 3	8	Computation
Nov 10	9	Output stabilization, disturbance decoupling
Nov 17	10	Restricted regulator problem
Nov 24	11	Controllability subspaces
Dec 1	12	Disturbance decoupling with stability
Dec 15	13	Final Project Presentations, WB144, 2-4pm

Important Dates

Title	Issued	Due
Homework 1	September 15	September 29
Homework 2	September 29	October 20
Homework 3	October 20	November 19
Homework 4	November 17	December 8
Final Project Report	October 21	December 15
Final Project Presentation	October 21	December 15, Walberg 144, 2-4pm

Projects

There are three types of projects, listed below. Students may also propose their own project.

Review of a classic paper in linear geometric control. A reading list will be distributed in the first half of the term.
Review of a topic not covered in lecture. Possible topics will be included in the reading list.
Presentation of a current (non-trivial) application or extension of linear geometric control.

Grading

Homework	60%
Final Project Report	30%
Final Project Presentation	10%