Simulation of Dynamic Systems with MATLAB® and Simulink®, 3rd Edition

Contents

Foreword

Preface

About the Authors

Chapter 1Mathematical Modeling

1.1Introduction

1.1.1Importance of Models

1.2Derivation of A Mathematical Model

1.3Difference Equations

1.4First Look at Discrete-Time Systems

1.4.1Inherently Discrete-Time Systems

1.5Case Study: Population Dynamics (Single Species)

Chapter 2Continuous-Time Systems

2.1Introduction

2.2First-Order Systems

2.2.1Step Response of First-Order Systems

2.3Second-Order Systems

2.3.1Conversion of Two First-Order Equations to a Second-Order Model

2.4Simulation Diagrams

2.4.1Systems of Equations

2.5Higher-Order Systems

2.6State Variables

2.6.1Conversion from Linear State Variable Form to Single Input–Single Output Form

2.6.2General Solution of the State Equations

2.7Nonlinear Systems ...