Department of Electrical and Computer Engineering

ECE 565 Nonlinear Systems Analysis

Nonlinear systems, autonomous systems. Analytical approximations. Nonlinear differential equations. Stability of time-varying systems. Lyapunov’s method, input-output stability. Nonlinear discrete systems.

Credit Hours: 3 Lecture

Prerequisites: ECE 456 or consent of instructor

Course Coordinator: Farzad Pourboghrat

Textbooks:

1. "Applied Nonlinear Control", J.J.E. Slotine and W. Li, Prentice-Hall, 1991, ISBN 0-13-040890-5.

References:

1. H.J. Marquez, "Nonlinear Control Systems – Analysis and Design", 2003, Wiley, ISBN 0-471-42799-3 .

Goals:

1. To teach the students the tools for stability analysis of nonlinear systems, including phase-plane, describing functions, and Lyapunov techniques.

2. To introduce the students to nonlinear control design tools including feedback linearization, backstepping, passivity, sliding control, and nonlinear observers.

3. To acquaint the students with software tools for implementation of nonlinear control algorithms.

Projects:

1. Variable speed control of a nonlinear motor.

2. Stabilizing control of an inverted pedulum.

Computer Tools: Matlab, Simulink, Robust Control Toolbox

Last Review: Spring Semester 2004