ECE 67500 - Introduction to Analysis of Non-Linear Systems

Credits: 3

Areas of Specialization(s):

Automatic Control

Counts as:

Normally Offered: Spring - even years

Catalog Description:
An introduction to modeling of dynamic control systems. State plane and numerical methods for solving modeling equations. Linearization and describing function techniques. Stability concepts. Controller and state estimator design for nonlinear systems. Variable structure sliding mode control. Vector field techniques. Introduction to chaos.

Required Text(s): None.

Recommended Text(s): None.

Lecture Outline:

Weeks Topic
1 Dynamic System Concept
2 Formulation of the control problem
3 Modeling
5 Numerical integration
4 State plane methods
6 Linearization
7 Describing function techniques
8 Stability concepts
9 Variable structure sliding control mode; Conditions for existence of a sliding mode; Switching surface design and construction of switched feedback gains
10 Vector field techniques
11 State estimation of nonlinear systems
12 Combined controller-estimator compensators
13 Neural network based controllers
14 Introduction to chaos