1 INTRODUCTION TO SYSTEM DYNAMICS

1-1 Introduction

1-2 Mathematical Modeling of Dynamic Systems

1-3 Analysis and Design of Dynamic Systems

1-4 Summary

2 THE LAPLACE TRANSFORM

2-1 Introduction

2-2 Complex Numbers，Complex Variables，and Complex Functions

2-3 Laplace Transformation

2-4 Inverse Laplace Transformation

2-5 Solving Linear，Time-Invariant Differential Equations

Example Problems and Solutions

Problems

3 MECHANICAL SYSTEMS

3-1 Introduction

3-2 Mechanical Elements

3-3 Mathematical Modeling of Simple Mechanical Systems

3-4 Work，Energy，and Power

Example Problems and Solutions

Problems

4 TRANSFER-FUNCTION APPROACH TO MODELING DYNAMIC SYSTEMS

4-1 Introduction

4-2 Block Diagrams

4-3 Partial-Fraction Expansion with MATLAB

4-4 Transient-Response Analysis with MATLAB

Example Problems and Solutions

Problems

5 STATE-SPACE APPROACH TO MODELING DYNAMIC SYSTEMS

5-1 Introduction

5-2 Transient-Response Analysis of Systems in State-Space Form with MATLAB

5-3 State-Space Modeling of Systems with No Input Derivatives

5-4 State-Space Modeling of Systems with Input Derivatives

5-5 Transformation of Mathematical Models with MATLAB

Example Problems and Solutions

Problems

6 ELECTRICAL SYSTEMS AND ELECTROMECHANICAL SYSTEMS

6-1 Introduction

6-2 Fundamentals of Electrical Circuits

6-3 Mathematical Modeling of Electrical Systems

6-4 Analogous Systems

6-5 Mathematical Modeling of Electromechanical Systems

6-6 Mathematical Modeling of Operational-Amplifier Systems

Example Problems and Solutions

Problems

7 FLUID SYSTEMS AND THERMAL SYSTEMS

7-1 Introduction

7-2 Mathematical Modeling of Liquid-Level Systems

7-3 Mathematical Modeling of Pneumatic Systems

7-4 Linearization of Nonlinear Systems

7-5 Mathematical Modeling of Hydraulic Systems

7-6 Mathematical Modeling of Thermal Systems

Example Problems and Solutions

Problems

8 TIME-DOMAIN ANALYSIS OF DYNAMIC SYSTEMS

8-1 Introduction

8-2 Transient-Response Analysis of First-Order Systems

8-3 Transient-Response Analysis of Second-Order Systems

8-4 Transient-Response Analysis of Higher Order Systems

8-5 Solution of the State Equation

Example Problems and Solutions

Problems

9 FREQUENCY-DOMAIN ANALYSIS OF DYNAMIC SYSTEMS

9-1 Introduction

9-2 Sinusoidal Transfer Function

9-3 Vibrations in Rotating Mechanical Systems

9-4 Vibration Isolation

9-5 Dynamic Vibration Absorbers

9-6 Free Vibrations in Multi-Degrees-of-Freedom Systems

Example Problems and Solutions

Problems

10 TIME-DOMAIN ANALYSIS AND DESIGN OF CONTROL SYSTEMS

10-1 Introduction

10-2 Block Diagrams and Their Simplification

10-3 Automatic Controllers

10-4 Transient-Response Analysis

10-5 Transient-Response Specifications

10-6 Improving Transient-Response and Steady-State Characteristics

10-7 Stability Analysis

10-8 Root-Locus Analysis

10-9 Root-Locus Plots with MATLAB

10-10 Tuning Rules for PID Controllers

Example Problems and Solutions

Problems

11 FREQUENCY-DOMAIN ANALYSIS AND DESIGN OF CONTROL SYSTEMS

11-1 Introduction

11-2 Bode Diagram Representation of the Frequency Response

11-3 Plotting Bode Diagrams with MATLAB

11-4 Nyquist Plots and the Nyquist Stability Criterion

11-5 Drawing Nyquist Plots with MATLAB

11-6 Design of Control Systems in the Frequency Domain

Example Problems and Solutions

Problems

APPENDIX A SYSTEMS OF UNITS

APPENDIX B CONVERSION TABLES

APPENDIX C VECTOR-MATRIX ALGEBRA

APPENDIX D INTRODUCTION TO MATLAB

REFERENCES

INDEX