CONTENTS

Preface

Chapter 1 Introduction to MATLAB

1-1 Introduction

1-2 Addition, Subtraction, Multiplication, and Division with MATLAB

1-3 Computing Matrix Functions

1-4 Plotting Response

1-5 Three-Dimensional Plots

1-6 Drawing Geometrical Figures with MATLAB

Chapter 2 Preliminary Study of MATLAB Analysis of Dynamics Systems

2-1 Partial-Fraction Expansion with MATLAB

2-2 Transformation of Mathematical Models of Dynamics Systems

2-3 MATLAB Representation of Systems in Block Diagram Form

Chapter 3 Transient Response Analysis

3-1 Introduction

3-2 Step Response

3-3 Impulse Response

3-4 Ramp Response

3-5 Response to Arbitrary Input

3-6 Response to Arbitrary Initial Condition

3-7 Three-Dimensional

Chapter 4 Root-Locus Analysis

4-1 Introduction

4-2 Root-Locus Plots with polar Grids

4-3 Finding the Gain Value K at an Arbitrary Point on the Root Loci

4-4 Root-Locus Plots of No minimum-Phase Systems

4-5 Root-Locus Plots of Conditionally Stable Systems

4-6 Root-Loci for Systems with Transport Lag

4-7 Root-Locus Approach to Control Systems Compensation

Chapter 5 Frequency Response Analysis

5-1 Plotting Bode Diagrams with MATLAB

5-2 Plotting Nyquist Diagrams with MATLAB

5-3 Log-Magnitude versus Phase Plots

5-4 Phase Margin and Gain Margin

5-5 Frequency Response Approach to Control Systems

Chapter 6 MATLAB Approach to State-Space Design of Control Systems

6-1 Introduction

6-2 Controllability and Observability

6-3 Pole Placement

6-4 Solving Pole Placement Problems with MATLAB

6-5 Design of State Observers with MATLAB

6-6 Minimum-Order Observers

6-7 Observer Controllers

Chapter 7 Some Optimization Problems Solved with MATLAB

7-1 Computational Approach to Obtain Optimal Sets of Parameter Values

7-2 Solving Quadratic Optimal Control Problems with MATLAB

Appendix

References

Index