Introduction to Control Theory
MATH 332
Winter 2015



Course Outline

Policies

Lab

Homeworks

Exercises

Contact

Description:

This course is an introduction to control theory focusing on linear time-invariant (LTI) systems. Although we mainly study single-input single-output (SISO) systems, some of our analysis for SISO systems can be extended to multi-input multi-output (MIMO) systems. In this course, we study LTI, SISO systems in three different representations, namely, state-space, Laplace domain, and Frequency response. In each representation, different techniques for studying controllability, observability and stability of the system are developed. At the end, the notion of feedback is introduced and the role of uncertainty in stability of systems is analyzed.

Instructor:
Saber Jafarpour (109 Jeffery Hall, saber.jafarpour@queensu.ca ).

Prerequisite:
MATH 326, MATH 312

Textbook:
MATH 332 Course Notes: Introduction to Control, by Andrew D. Lewis (available at the Math department main office)

Lectures:
Monday, 3:30 PM-4:30 PM in Jeffery 234
Wednesday, 2:30 PM-3:30 PM in Jeffery 234
Thursday, 1:30 PM-2:30 PM in Jeffery 234

Lab: (Tristan Milne)
BEAMISH-MUNRO 326

Tutorial:
Thursday, 10:30 AM-11:30 AM in Jeffery 101

Office hours:
Monday, 2:30 PM-3:30 PM
Wednesday, 3:30 PM-4:30 PM
Thursday, 2:30 PM-3:30 PM
Any other time by appointment (Please feel free to contact me)

Announcements:
  • Welcome to MATH 332!
  • 12/01/2015: Homework 1 and Exercise 1 are posted!
  • 19/01/2015: Homework 2 and Exercise 2 are posted!
  • 26/01/2015: Homework 3 is posted!
  • 28/01/2015: Exercise 3 is posted!
  • 02/02/2015: Homework 4 is posted!
  • 11/02/2015: Homework 5 is posted!
  • Midterm exam: Monday March 2, in Jeffery 234 from 2:40PM to 4:20PM .
  • 04/03/2015: Homework 6 is posted!
  • 16/03/2015: Homework 7 is posted!
  • Solution to Midterm exam
  • 23/03/2015: Homework 8 is posted!
  • 30/03/2015: Homework 9 is posted!