ECE1619H Linear Geometric Control Theory (Last updated January 17, 2011)

Instructor

GB434A

broucke (at) control.utoronto.ca

Lecture Schedule

Lecture Section	Day and Time	Location
Lecture 1	Monday 15-17	GB217

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
Jan 16	1	Introduction, linear systems, subspaces, linear equations
Jan 23	2	Quotient spaces, projection maps, induced maps
Jan 30	3	Minimal polynomial, modal subspaces
Feb 6	4	Controllability, stabilizability
Feb 13	5	Observability, observers
Feb 20		Reading Week
Feb 27	6	Stabilization by measurement feedback
Mar 5	7	Controlled invariant subspaces
Mar 12	8	Computation
Mar 19	9	Output stabilization, disturbance decoupling
Mar 26	10	Restricted regulator problem
Apr 2	11	Controllability subspaces, controllability indices
Apr 9	12	Disturbance decoupling with stability
Apr 23	13	Final Project Presentations, time TBA

Important Dates

Title	Issued	Due
Homework 1	January 23	February 6
Homework 2	February 6	February 27
Homework 3	February 27	March 12
Homework 4	March 12	March 26
Final Project Report	March 19	April 23
Final Project Presentation	March 19	April 23, time TBA

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	50%
Final Project Report	40%
Final Project Presentation	10%