Linear Systems and Control (Fall/Winter 2006)
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. 6 | Linear algebra and coordinate transformation | ||
2 | Oct. 13 | Controllability and observability | ||
3 | Oct. 20 | Realization of transfer functions | ||
4 | Nov. 8 (Wed) | Lyapunov stability theory and Lyapunov functions | ||
5 | Nov. 10 | Positive real and bounded real theory | ||
6 | Nov. 17 | Linear feedback control | Exercise problems | |
Nov. 24 | FINAL EXAM | Exam2006 |
Assignments (30%); Final exam (70%).
Nonlinear and Adaptive Control (Fall/Winter 2006)
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.
Lecture# | Date | Topics | Handouts |
1 | Dec.1 | Nonlinear dynamical system theory (existence and uniqueness of solution) | |
2 | Dec.8 | Nonlinear dynamical system theory (Lyapunov's stability theory) | |
Dec.15 | No class | ||
3 | Dec.22 | Nonlinear dynamical system theory (dissipativity theory) | |
4 | Jan.12 | Normal form representation | |
Jan. 19 | No class | ||
5 | Jan.26 | Nonlinear adaptive control (1) | |
6 | Feb.2 | Nonlinear adaptive control (2) | Exercise |
Feb. 9 | FINAL EXAM | Exam2006 |
Assignments (30%); Final exam (70%).