Modeling, Identification and Simulation of Dynamical Systems: 1st Edition (Hardback) book cover

Modeling, Identification and Simulation of Dynamical Systems

1st Edition

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

CRC Press

208 pages

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Hardback: 9780849391811
pub: 1994-07-15
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Description

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.

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

Subject Categories

BISAC Subject Codes/Headings:
TEC009060
TECHNOLOGY & ENGINEERING / Industrial Engineering
TEC009070
TECHNOLOGY & ENGINEERING / Mechanical