1st Edition
Introduction to the Simulation of Dynamics Using Simulink
Introduction and Motivation
Systems
Dynamical Models of Physical Systems
Constructing Simulations from Dynamical Models
How Simulators Are Used
The Basics of Simulation in Simulink
Simplest Model to Simulate
Models in Simulink
Simulation of the Simplest Model
Understanding How Time Is Handled in Simulation
A Model with Time as a Variable
How Simulink Propagates Values in Block Diagrams
A Model with Uniform Circular Motion
A Model with Spiraling Circular Motion
Uncertainty in Numbers and Significant Figures
Simulation of First-Order Difference Equation Models
What Is a Difference Equation?
Examples of Systems with Difference Equation Models
First-Order Difference Equation Simulation
Examining the Internals of a Simulation
Organizing the Internal Structure of a Simulation
Using Vector and Matrix Data
Simulation of First-Order Differential Equation Models
What Is a Differential Equation?
Examples of Systems with Differential Equation Models
Reworking First-Order Differential Equations into Block Form
First-Order Differential Equation Simulation
Saving Simulation Data in MATLAB
Fixed-Step Solvers and Numerical Integration Methods
What Is a Solver?
Understanding the Basics of Numerical Integration Algorithms
Understanding Solver Errors
Improving the Basic Algorithms
Fixed-Step Solvers in the Simulink Software
Simulation of First-Order Equation Systems
What Is a First-Order Difference Equation System?
Examples of First-Order Difference Equation Systems
Simulating a First-Order Difference Equation System
What Is a First-Order Differential Equation System?
Examples of First-Order Differential Equation Systems
Simulating a First-Order Differential Equation System
Combining Connections on a Bus
Simulation of Second-Order Equation Models: Nonperiodic Dynamics
Simulation of Second-Order Difference Equation Models
Simulation of Second-Order Differential Equation Models
Second-Order Differential Equation Models with First-Order Terms
Conditional Dynamics
Simulation of Second-Order Equation Models: Periodic Dynamics
Orbital Systems
Masked Subsystems
Creating Libraries
Higher-Order Models and Variable-Step Solvers
Direct Simulation by Multiple Integrations
Producing Function Forms for Simulation Results
Variable-Step Solvers
Variable-Step Solvers in Simulink
Advanced Topics: Transforming Ordinary Differential Equations, Simulation of Chaotic Dynamics, and Simulation of Partial Differential Equations
Transforming Ordinary Differential Equations
Simulation of Chaotic Dynamics
Simulation of Partial Differential Equations
Appendix A: Alphabetical List of Simulink Blocks
Appendix B: The Basics of MATLAB for Simulink Users
Appendix C: Debugging a Simulink Model
Index
A Summary, References, and Additional Reading appear at the end of each chapter.
Biography
Michael A. Gray is an associate professor in the Department of Computer Science at American University in Washington, D.C.
