ABSTRACT

This is a textbook designed for an advanced course in control theory. Currently most textbooks on the subject either looks at "multivariate" systems or "non-linear" systems. However, Control Theory is the only textbook available that covers both. It explains current developments in these two types of control techniques, and looks at tools for computer-aided design, for example Matlab and its toolboxes. To make full use of computer design tools, a good understanding of their theoretical basis is necessary, and to enable this, the book presents relevant mathematics clearly and simply. The practical limits of control systems are explored, and the relevance of these to control design are discussed. Control Theory is an ideal textbook for final-year undergraduate and postgraduate courses, and the student will be helped by a series of exercises at the end of each chapter. Professional engineers will also welcome it as a core reference.

chapter 1|24 pages

Introduction

part |2 pages

Part I: Linear Systems

chapter 2|16 pages

Representation of Linear Systems

chapter 3|40 pages

Properties of Linear Systems

chapter 4|18 pages

Sampled Data Systems

chapter 5|44 pages

Disturbance Models

part |2 pages

Part II: Linear Control Theory

chapter 6|24 pages

The Closed Loop System

chapter 7|44 pages

Basic Limitations in Control Design

chapter 8|24 pages

Controller Structures and Control Design

chapter 9|38 pages

Minimization of Quadratic Criteria: LQG

chapter 10|28 pages

Loop Shaping

part |2 pages

Part III: Nonlinear Control Theory

chapter 11|14 pages

Describing Nonlinear Systems

chapter 12|18 pages

Stability of Nonlinear Systems

chapter 13|16 pages

Phase Plane Analysis

chapter 14|16 pages

Oscillations and Describing Functions

chapter 15|12 pages

Controller Synthesis for Nonlinear Systems

chapter 16|10 pages

Model Predictive Control

chapter 17|14 pages

To Compensate Exactly for Nonlinearities

chapter 18|44 pages

Optimal Control

chapter 19|4 pages

Some Final Words