Linear Systems and Control (Fall/Winter 2008)
Introduction to linear systems theory and feedback control. This course provides a foundation of modern control theory and also covers several advanced topics in linear dynamical systems. |
Lecture# |
Date |
Topics |
Handouts |
|
1 |
Oct. 3 |
Linear algebra and coordinate
transformation |
||
2 |
Oct. 10 |
Controllability and observability |
||
3 |
Oct. 17 |
Realization of transfer functions |
||
4 |
Oct. 31 |
Lyapunov stability theory and Lyapunov
functions |
||
5 |
Nov. 7 |
Positive real and bounded real
theory |
||
6 |
Nov. 14 |
Linear feedback control |
||
Dec. 12 |
FINAL EXAM | Exam2008 |
Nonlinear and Adaptive Control (Fall/Winter 2008)
Theory and application of nonlinear and adaptive control systems. Discussed are methods of on-line parameter identification and adaptive control for nonlinear systems with uncertain parameters. To this end, Lyapunov stability theory and Lyapunov functions for general nonlinear systems are examined in the first half of the course. |
Projected course schedule:
Lecture# |
Date |
Topics |
Handouts |
|
1 |
Nov. 28 |
Nonlinear dynamical system theory (existence and uniqueness of solution) |
||
2 |
Dec. 5 |
Nonlinear dynamical system theory (Lyapunov's stability theory) |
||
3 |
Dec. 19 |
Nonlinear dynamical system theory (dissipativity theory) |
||
4 |
Jan. 9 |
Normal form representation |
||
5 |
Jan. 23 |
Nonlinear adaptive control (1) |
||
6 |
Jan. 30 |
Nonlinear adaptive control (2) |
||
Feb. 6 |
FINAL EXAM | Exam2008 |
References: