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Identification of Linear Systems

A Practical Guideline to Accurate Modeling

By: J. Schoukens, R. Pintelon

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Hardcover | 26 May 1991

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Hardcover
353 Pages

Dimensions(cm)
23.62 x 15.19 x 2.31

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This book concentrates on the problem of accurate modeling of linear systems. It presents a thorough description of a method of modeling a linear dynamic invariant system by its transfer function. The first two chapters provide a general introduction and review for those readers who are unfamiliar with identification theory so that they have a sufficient background knowledge for understanding the methods described later. The main body of the book looks at the basic method used by the authors to estimate the parameter of the transfer function, how it is possible to optimize the excitation signals. Further chapters extend the estimation method proposed. Applications are then discussed and the book concludes with practical guidelines which illustrate the method and offer some rules-of-thumb.

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Chapter headings and selected topics
Preface
A General Introduction to Parameter Estimation
Steps in the identification process
Parameter estimation, an example: measurement of a resistor
The ideal estimator
A Review of Estimation Methods and their Applications
Motives in focusing on the least squares technique
Parametric models
Time domain versus frequency domain
Errors due to noise on the independent variables
A Maximum Likelihood Estimator for Linear Time Invariant Systems
Measurement of a resistance
Estimation of transfer functions: a practical approach
Estimation of transfer functions: a theoretical approach
Numerical considerations
Extensions of the model
Application of ELiS to experimental data
Conclusions
Design of Excitation Signals
Optimization of the time domain behaviour of excitation signals
Optimizing the frequency domain behaviour of excitation signals: design of optimized power spectra
Model Selection
Verification of model validity
Introduction of the model complexity in the cost function
Study of the influence of model errors on the behaviour of the cost function
Optimal experiment strategy
Examples
Estimation of Linear Time Invariant Systems with Delay
The estimation algorithm and its properties
Simulations
Phase Correction of Linear Time Invariant Systems with Digital Allpass Filters
Phase distortion
Optimization strategy
Noise sensitivity
Application of ELiS to Measurement Problems
Modal analysis
Flight flutter data analysis
A Guideline for Transfer Function Estimation
Accurate modeling of a linear analog system
References
Author index
Subject index
Table of Contents provided by Publisher. All Rights Reserved.

Identification of Linear Systems

A Practical Guideline to Accurate Modeling

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Hardcover

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