实例介绍
【实例简介】使用 MATLAB 分析和设计控制系统
Analysis and Design of Control Systems using MATLAB
Rao V. Dukkipati
【实例截图】
【核心代码】
CONTENTS
Preface
(vii)
Acknowledgement (ix)
1. Introduction to Control Systems ... 1
1.1 Introduction ... 1
1.2 Control Systems ... 1
1.2.1 Examples of Control Systems ... 2
1.3 Control System Configurations ... 3
1.4 Control System Terminology ... 5
1.5 Control System Classes ... 6
1.6 Feedback Systems ... 8
1.7 Analysis of Feedback ... 8
1.8 Control System Analysis and Design Objectives ... 9
1.9 Summary ... 10
References ... 10
Glossary of Terms ... 12
2. MATLAB Basics ... 26
2.1 Introduction ... 26
2.1.1 Starting and Quitting MATLAB ... 27
2.1.2 Display Windows ... 27
2.1.3 Entering Commands
... 27
2.1.4 MATLAB Expo ... 27
2.1.5 Abort ... 27
2.1.6 The Semicolon ... 27
2.1.7 Typing % ... 27
2.1.8 The clc Command ... 27
2.1.9 Help ... 27
2.1.10 Statements and Variables ... 28
2.2 Arithmetic Operations ... 28
2.3 Display Formats ... 28
2.4 Elementary Math Built-in Functions ... 29
2.5 Variable Names ... 31
2.6 Predefined Variables ... 31
2.7 Commands for Managing Variables ... 32
2.8 General Commands ... 32
2.9 Arrays ... 342.9.1 Row Vector ... 34
2.9.2 Column Vector ... 34
2.9.3 Matrix ... 34
2.9.4 Addressing Arrays ... 35
2.9.5 Adding Elements to a Vector or a Matrix ... 35
2.9.6 Deleting Elements ... 35
2.9.7 Built-in Functions ... 35
2.10 Operations with Arrays ... 37
2.10.1 Addition and Subtraction of Matrices ... 37
2.10.2 Dot Product
... 37
2.10.3 Array Multiplication ... 37
2.10.4 Array Division
... 37
2.10.5 Identity Matrix ... 37
2.10.6 Inverse of a Matrix ... 38
2.10.7 Transpose ... 38
2.10.8 Determinant ... 38
2.10.9 Array Division
... 38
2.10.10 Left Division ... 38
2.10.11 Right Division ... 38
2.10.12 Eigenvalues and Eigenvectors ... 38
2.11 Element-by-Element Operations ... 39
2.11.1 Built-in Functions for Arrays ... 40
2.12 Random Number Generation ... 41
2.12.1 The Random Command ... 42
2.13 Polynomials ... 42
2.14 System of Linear Equations ... 44
2.14.1 Matrix Division ... 44
2.14.2 Matrix Inverse ... 44
2.15 Script Files ... 49
2.15.1 Creating and Saving a Script File ... 49
2.15.2 Running a Script File ... 50
2.15.3 Input to a Script File ... 50
2.15.4 Output Commands ... 50
2.16 Programming in MATLAB ... 51
2.16.1 Relational and Logical Operators ... 51
2.16.2 Order of Precedence ... 52
2.16.3 Built-in Logical Functions ... 52
2.16.4 Conditional Statements ... 53
2.16.5 Nested if Statements ... 54
(xii)2.16.6 else AND else if Clauses ... 54
2.16.7 MATLAB while Structures ... 54
2.17 Graphics ... 57
2.17.1 Basic 2-D Plots ... 57
2.17.2 Specialized 2-D plots ... 57
2.17.3 3-D Plots
... 58
2.17.4 Saving and Printing Graphs ... 65
2.18 Input/Output in MATLAB ... 65
2.18.1 The fopen Statement ... 65
2.19 Symbolic Mathematics ... 66
2.19.1 Symbolic Expressions ... 66
2.19.2 Solution to Differential Equations ... 68
2.19.3 Calculus ... 69
2.20 The Laplace Transforms ... 71
2.20.1 Finding Zeros and Poles of B(s)/A(s) ... 72
2.21 Control Systems ... 72
2.21.1 Transfer Functions ... 72
2.21.2 Model Conversion ... 72
2.22 The Laplace Transforms ... 75
2.23 Summary ... 111
Problems ... 113
3. MATLAB Tutorial ... 125
3.1 Introduction ... 125
3.2 Transient Response Analysis ... 125
3.3 Response to Initial Condition ... 125
3.4 Second Order Systems ... 127
3.5 Root Locus Plots ... 127
3.6 Bode Diagrams ... 129
3.7 Nyquist Plots ... 136
3.7.1 Polar Plots ... 136
3.7.2 Nyquist Plot ... 137
3.8 Nichols Chart ... 138
3.8.1 db Magnitude-Phase Angle Plots ... 138
3.9 Gain Margin, Phase Margin, Phase Crossover Frequency,
and Gain Crossover Frequency ... 139
3.10 Transformation of System Models ... 139
3.10.1 Transformation of System Model from Transfer Function
to State Space ... 140
(xiii)3.10.2 Transformation of System Model from State Space to
Transfer Function ... 140
3.11 Bode Diagrams of Systems Models Defined in State-Space ... 140
3.12 Nyquist Plots of a System Defined in State Space ... 141
3.13 Transient Response Analysis in State-Space ... 141
3.13.1 Unit Step Response ... 141
3.13.2 Unit Ramp Response ... 142
3.13.3 Unit Ramp Response ... 142
3.13.4 Response to Arbitrary Input ... 143
3.14 Response to Initial Condition in State Space ... 143
Example Problems and Solutions ... 143
Summary ... 241
Problems ... 241
Bibliography
... 251
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