Analysis and design of control systems using Matlab / Rao V. Dukkipati

CONTENIDO
Preface (vii)
CHAPTER 1. INTRODUCTION 1-24
1.1 Introduction 1
1.2 Control Systems 1
Examples of Control Systems 2
1.3 Control System Configurations 3
1.4 Control System Terminology 5
1.5 Control System CLasses 7
Supplementary Terminology 7
1.6 Feedback Systems 8
1.7 Analysis of Feedback 8
1.8 Control System Analysis and Design Objectives 10
Summary 10
Glossary of Technical Terms 11
CHAPTER 2. MATLAB BASICS 25-130
2.1 Introduction 25
Starting and Quitting MATLAB 26
Display Windows 26
Entering Commands 26
MATLAB Expo 26
Abort 26
The Semicolon (;) 26
Typing (porcentual) 26
The clc Command 27
Help 27
Statements and Variables 27
2.2 Arithmetic Operations 27
2.3 Display Formats 27
2.4 Elementary Math Built-in Functions 28
2.5 Variable Names 31
2.6 Predefined Variables 31
2.7 Commands for Managing Variables 31
2.8 General Commands 32
2.9 Arrays 33
Row Vector 33
Column Vector 33
Matrix 33
Addressing Arrays 34
Adding Elements to a Vector or a Matrix 34
Deleting Elements 35
Built-in Functions 35
2.10 Operations with Arrays 36
Addition and Subtraction of Matrices 36
Dot Product 36
Array Multiplication 36
Array Division 36
Identity Matrix 36
Inverse of a Matrix 37
Transpose 37
Determinant 37
Array Division 37
Left Division 37
Right Division 37
Eigenvalues and Eigenvectors 38
2.11 Element-by-Element Operations 39
Built-in Functions for Arrays 39
2.12 Random Numbers Generation 41
The Random Command 41
2.13 Polynomials 42
2.14 System of Linear Equations 43
Matrix Division 44
Matrix Inverse 44
2.15 Script Files 49
Creating and Saving a Script File 49
Running a Script File 50
Input to a Script File 50
Output Commands 50
2.16 Programming in MATLAB 51
Relational and Logical Operators 51
Order of Precedence 52
Built-in Logical Functions 52
Conditional Statements 54
Nested if Statements 54
Else and Elseif Clauses 54
MATLAB while Structures 55
2.17 Graphics 57
Basic 2-D Plots 57
Specialised 2-D Plots 57
3-D Plots 59
Saving and Printing Graphs 65
2.18 Input/Output in MATLAB 66
The fopen Statement 66
2.19 Symbolic Mathematics 67
Symbolic Expressions 67
Solution to Differential Equations 70
Calculus 71
2.20 Control Systems 72
Transfer Functions 73
Model Conversion 74
2.21 The Laplace Transforms 76
Finding Zeros and Poles of B(s)/A(s) 77
Summary 117
Problems 118
CHAPTER 3. MATLAB TUTORIAL 131-274
3.1 Introduction 131
3.2 Transient Response Análisis 131
3.3 Response to Initial Condition 131
Case 1: State Space Approach 131
Case 2: State Space Approach 132
3.4 Second Order Systems 133
3.5 Root Locus Plots 133
3.6 Bode Diagrams 134
3.7 Nyquist Plots 135
3.8 Nichols Chart 136
3.9 Gain Margin, Phase Margin, Phase Crossover Frequency, and Gain Crossover Frequency 136
3.10 Transformation of System Models 137
Transformation of System Model fram Transfer Function to State Space 137
Transformation of System Model fram State Space to Transfer Function 137
3.11 Bode Diagrams of Systems Defined in State Space 138
3.12 Nyquist Plots of a System Defined in State Space 138
3.13 Transient Response Analysis in State Space 139
Unit Step Response 139
Impulse Response 139
Unit Ramp Response 140
Response to Arbitrary Input 141
3.14 Response to Initial Condition in State Space 141
Example with Solutions 141
Summary 260
Problems 260
CHAPTER 4. SOLUTIONS TO PROBLEMS IN MATLAB BASICS 275-330
CHAPTER 5. MATLAB TUTORIAL SOLUTIONS 331-444
Bibliography 445-449