Nonlinear Systems and Control
A comprehensive course on the theory and practice of nonlinear feedback control.
Course Overview
This course covers the fundamental concepts and techniques of nonlinear control systems. Students will learn to analyze and design controllers for nonlinear dynamical systems using modern methods based on Lyapunov stability theory, energy shaping, and passivity-based control.
The course combines theoretical foundations with practical applications through interactive demonstrations, allowing students to visualize and experiment with different control strategies.
Course Schedule
| Lecture | Topic | Exercise |
|---|---|---|
| 20-Feb | Intro limit cycles and bifurcations | 24-Feb |
| 27-Feb | Local and Global Existence and Uniqueness of ODE Systems | 3-Mar |
| 6-Mar | Lyapunov - Part I | 10-Mar |
| 13-Mar | Lyapunov - Part II | 17-Mar |
| 20-Mar | Dissipativity | 24-Mar |
| 27-Mar | Linearization, Integral Control, and Gain Scheduling | 31-Mar |
| 17-Apr | Lyapunov-based control design | 21-Apr |
| 24-Apr | Feedback Linearization | 5-May |
| 8-May | Sliding Mode Control | 12-May |
| 15-May | Optimal Control | 19-May |
| 22-May | SDRE | 26-May |
| 29-May | Nonlinear MPC | 2-Jun |