Numerical Computing with Simulink, Volume 1: Creating Simulations

Simulation is the preferred approach for engineers and scientists who design complex systems because it allows them to test a system design's performance standards. This book explores simulation, starting with Galileo and ending with the lunar landing. It provides an introduction to computer-aided system design with Simulink®, a robust, accurate, and easily used simulation tool. The author takes readers on a tour of the Simulink environment that shows how to develop a system model and execute the design steps needed to make the model into a functioning design laboratory. Included along the way is the mathematics of systems: difference equations and z-transforms, ordinary differential equations (both linear and nonlinear) and Laplace transforms, and numerical methods for solving differential equations. Volume II will show how to use Simulink in the modeling and analysis of complex systems. Because specific applications require specific tools, the author introduces additional software packages that work within the Simulink environment. The Signal Processing Blockset® extends Simulink into the areas of both analog and digital signal processing; Stateflow® is used for state charts and signal flow for modeling event-driven systems; SimPowerSystems® handles physical modeling, in particular the modeling of electrical circuits including power systems, motor drives, power generation equipment, and three-phase power transmission lines; and SimMechanics® develops models of mechanical systems such as robots. In all, the author covers more than 70 applications taken from several disciplines, and he describes numerous tested, annotated, and reusable models and blocks to help readers apply the book s material to their own applications. The text's supplementary Web page offers additional material about Simulink and its associated tools created by The MathWorks and the author. An introduction to computer-aided system design with Simulink: a robust, accurate, and easily used simulation tool. The author takes readers on a tour of the Simulink environment that shows how to develop a system model and execute the design steps needed to make the model into a functioning design laboratory. Included along the way are the mathematics of systems: difference equations and z transforms, ordinary differential equations (both linear and nonlinear) and Laplace transforms, and numerical methods for solving differential equations. Because specific applications require specific tools, this book introduces additional software packages that work within the Simulink environment. The author covers over 70 applications taken from several disciplines, and describes numerous tested, annotated, and reusable models and blocks to help readers apply the book's material to their own applications. Ideal for practising engineers, and students in model-based design and numerical methods. Additional material is also available online. Numerical Computing with Simulink, Volume I Creating Simulations 2 ISBN 978-0-898716-37-5 5 Contents 8 List of Figures 12 List of Tables 18 Preface 20 Chapter 1 Introduction to Simulink 24 Chapter 2 Linear Differential Equations, Matrix Algebra, and Control Systems 56 Chapter 3 Nonlinear Differential Equations 104 Chapter 4 Digital Signal Processing in Simulink 138 Chapter 5 Random Numbers, White Noise, and Stochastic Processes 196 Chapter 6 Modeling a Partial Differential Equation in Simulink 223 Chapter 7 Stateflow: A Tool for Creating and Coding State Diagrams, Complex Logic, Event Driven Actions, and Finite State Machines 237 Chapter 8 Physical Modeling: SimPowerSystems and SimMechanics 263 Chapter 9 Putting Everything Together: Using Simulink in a System Design Process 291 Chapter 10 Conclusion: Thoughts about Broad-Based Knowledge 311 Bibliography 313 Index 317 V. 1. Creating Simulations Richard J. Gran. Includes Bibliographical References And Index.