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Mechanical Engineering Department
ME 778-Advanced Control Systems


Textbook:
Applied Nonlinear Control, by J.J.E. Slotine and W. Li,
Prentice Hall, 1991


Reference Texts:
Nonlinear Systems Analysis, by M. Vidyasagar, 1st Edition
Prentice Hall, 1978


Course Objectives:
This course is designed to  introduce the students to the
fundamental concepts of analysis and design of nonlinear
control systems.  Stability issues will be addressed along
with performance considerations for SISO and MIMO
systems.  Several nonlinear controller design techniques
will be presented and illustrated.


Course Outline


                        Nonlinear Systems Analysis


Overview of Linear Systems

Introduction to Nonlinear Systems

Linearization of Nonlinear Systems
   Taylor Series Expansion

Nonlinear Stability: Time-Domain Analysis
   Phase Plane
   Lyapunov Theory

Nonlinear Stability: Frequency-Domain Analysis
   Popov Method
   Describing Functions



               Nonlinear Control Systems Design

Variable Structure Control
   Basic Definitions
   VSC of Second Order Plants
   Existence of Sliding Mode
   Switching Surface
   Multidimensional Analysis
   Design Procedures

Feedback Linearization Control

Bilinear Control

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