Linear Systems and Control (Fall/Winter 2010)
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.
1 |
Linear algebra
and coordinate transformation |
||
2 |
Oct.
8 |
Controllability and observability |
||
3 |
Oct.
15 |
Realization of
transfer functions |
||
4 |
Oct.
29 |
Lyapunov
stability theory and Lyapunov
functions |
||
5 |
Nov.
12 |
Positive real
and bounded real theory |
||
6 |
Nov.
19 |
Linear
feedback control |
||
Dec. 17 |
FINAL EXAM | Exam2010 |
Nonlinear and Adaptive Control (Fall/Winter 2010)
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.
26 |
Nonlinear
dynamical system theory (existence and
uniqueness of solution) |
||
2 |
Dec.
3 |
Nonlinear
dynamical system theory (Lyapunov's stability
theory) |
||
3 |
Dec.
10 |
Nonlinear
dynamical system theory (dissipativity
theory) |
||
4 |
Jan.
7 |
Normal form
representation |
||
5 |
Jan.
21 |
Nonlinear
adaptive control (1) |
||
6 |
Jan.
28 |
Nonlinear
adaptive control (2) |
||
Feb.
4 |
FINAL EXAM | Exam2010 |
References: