PREFACE
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 Electromechnaical 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 Systmes
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 Polts 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