ECE1619H Linear Geometric Control Theory (Last updated January 20, 2015)

Instructor

GB434A

broucke (at) control.utoronto.ca

Lecture Schedule

Lecture Section	Day and Time	Location	Start Date
Lecture 1	Monday 15-17:30pm	Bahen Building, BA3014	January 12

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.

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

Important Dates

Title	Issued	Due
Homework 1	January 19	February 2
Homework 2	February 2	February 23
Homework 3	March 2	March 16
Homework 4	March 16	March 30
Final Project Report	March 23	April 20
Final Project Presentation	March 23	April 20, 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%