Modeling, Identification and Simulation of Dynamical Systems

by P. P. J. van den Bosch, A. C. van der Klauw

Overview

This book gives an in-depth introduction to the areas of modeling, identification, simulation, and optimization. These scientific topics play an increasingly dominant part in many engineering areas such as electrotechnology, mechanical engineering, aerospace, and physics. This book represents a unique and concise treatment of the mutual interactions among these topics.
Techniques for solving general nonlinear optimization problems as they arise in identification and many synthesis and design methods are detailed. The main points in deriving mathematical models via prior knowledge concerning the physics describing a system are emphasized. Several chapters discuss the identification of black-box models. Simulation is introduced as a numerical tool for calculating time responses of almost any mathematical model. The last chapter covers optimization, a generally applicable tool for formulating and solving many engineering problems.

Product Details

ISBN-13:	9780429605925
Publisher:	CRC Press
Publication date:	12/17/2020
Sold by:	Barnes & Noble
Format:	eBook
Pages:	208
File size:	12 MB
Note:	This product may take a few minutes to download.

About the Author

P.P.J. van den Bosch, A.C. van der Klauw

Table of Contents

Introduction
Modeling
Introduction
Model Building Approaches
Mathematical Models
Index of a DAE
Examples
Bond Graphs
Comparison Circuits, Bond Graphs, and Block Diagrams
Examples
Summary
References
Problems
Black-Box Model Representations
Introduction
Discrete-Time Systems
Impulse Response and Transfer Function
Disturbances
Time-Domain Representations
Frequency-Domain Representations
Examples: Calculation of Stochastic Quantities
Summary
References
Problems
Nonparametric Identification
Time-Domain Identification by Correlation Analysis
Frequency Response Analysis
Frequency Response Analysis by the Correlation Method
Fourier Analysis: The Empirical Transfer Function Estimate
Persistence of Excitation
Summary
References
Problems
Parametric Identification
Prediction Error Methods
Prediction Models
Least Squares Method
Analysis of the Linear LS Estimate
Convergence and Consistency
Approximate Identification
Summary
References
Problems
Identification in Practice
Experiment Design
Model Structure Selection
Model Validation
Summary
References
Problems
Simulation
Introduction
Simulation Tools
Numerical Solution of Differential Equations
Conversion from Parallel to Series
Solving Stiff ODEs and DAEs
Applications
Summary
References
Problems
Optimization
Introduction
Convergence
Determination of Step Size si
Determination of Search Direction di
Least Squares Problem
Optimization with Constraints
Summary
References
Problems
Literature
Index