Page 13 - MATLAB an introduction with applications

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2. ELECTRICAL CIRCUITS 97–120
2.1 Introduction 97
2.2 Electrical Circuits 100
2.3 Kirchhoff’s Laws 102
2.4 Example Problems and Solutions 103
References 118
Problems 118

3. CONTROL SYSTEMS 121–199
3.1 Introduction 121
3.2 Control Systems 121
3.3 Examples of Control Systems 122
3.4 Control System Configurations 123
3.5 Control System Terminology 124
3.6 Control System Classes 126
3.7 Feedback Systems 127
3.8 Analysis of Feedback 128
3.9 Control System Analysis and Design Objectives 129
3.10 MATLAB Application 129
3.11 Second-order Systems 131
3.12 Root Locus Plots 132
3.13 Bode Diagrams 132
3.14 Nyquist Plots 133
3.15 Nichols Chart 134
3.16 Gain Margin, Phase Margin, Phase Crossover Frequency
and Gain Crossover Frequency 134
3.17 Transformation of System Models 135
3.18 Bode Diagrams of Systems Defined in State Space 136
3.19 Nyquist Plots of a System Defined in State Space 136
3.20 Transient-Response Analysis in State Space 137
3.21 Response to Initial Condition in State Space 139
3.22 Example Problems and Solutions 139
References 188
Problems 190

4. NUMERICAL METHODS 201–260
4.1 Introduction 201
4.2 System of Linear Algebraic Equations 201
4.3 Gauss Elimination Method 201
4.4 LU Decomposition Methods 202
4.5 Choleski’s Decomposition 203
4.6 Gauss-Seidel Method 203