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Digital Control System Analysis & Design, 4th edition

  • Charles L. Phillips
  • Troy Nagle
  • Aranya Chakrabortty

Published by Pearson (March 6th 2014) - Copyright © 2015

4th edition

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Digital Control System Analysis & Design (2-downloads)

ISBN-13: 9780132938211

Includes: Unassigned

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Overview

Table of contents

Chapter 1 Introduction 1

Overview 1

Digital Control System 2

The Control Problem 5

Satellite Model 6

Servomotor System Model 8

Antenna Pointing System 10

Robotic Control System 11

Temperature Control System 12

Single-Machine Infinite Bus Power System 14

Summary 17

References 17  •  Problems 17

Chapter 2 discrete-time systems and the z-transform 25

Introduction 25

Discrete-Time Systems 25

Transform Methods 27

Properties of the z-Transform 30

Addition and Subtraction 30

Multiplication by a Constant 30

Real Translation 31

Complex Translation 33

Initial Value 34

Final Value 34

Finding z-Transforms 35

Solution of Difference Equations 38

The Inverse z-Transform 41

Power Series Method 41

Partial-Fraction Expansion Method 42

Inversion-Formula Method 46

Discrete Convolution 47

Simulation Diagrams and Flow Graphs 49

State Variables 53

Other State-Variable Formulations 61

Transfer Functions 70

Solutions of the State Equations 74

Recursive Solution 74

z-Transform Method 76

Numerical Method via Digital Computer 77

Properties of the State Transition Matrix 78

Linear Time-Varying Systems 79

Summary 80

References and Further Readings 80  •  Problems 80

Chapter 3 sampling and reconstruction 90

Introduction 90

Sampled-Data Control Systems 90

The Ideal Sampler 93

Evaluation of E*(S) 95

Results from the Fourier Transform 98

Properties of E*(S) 100

Data Reconstruction 103

Zero-Order Hold 104

First-Order Hold 108

Fractional-Order Holds 109

Summary 111

References and Further Readings 111  •  Problems 112

Chapter 4 open-loop discrete-time systems 116

Introduction 116

The Relationship Between E(Z) and E*(S) 116

The Pulse Transfer Function 117

Open-Loop Systems Containing Digital Filters 123

The Modified z-Transform 126

Systems with Time Delays 129

Nonsynchronous Sampling 132

State-Variable Models 135

Review of Continuous-Time State Variables 136

Discrete State Equations 140

Practical Calculations 144

Summary 146

References and Further Readings 146  •  Problems 146</

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