Schoukens / Pintelon Identification of Linear Systems

A Practical Guideline to Accurate Modeling
1. Auflage 2014
ISBN: 978-0-08-091256-1
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 355 Seiten, Web PDF

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.

Autoren/Hrsg.

Schoukens, J.

Pintelon, R.

Inhaltsverzeichnis

1;Front Cover;1
2;Identification of Linear System: A Practical Guideline to Accurate Modeling;4
3;Copyright Page;5
4;Dedication;6
5;Table of Contents;8
6;Acknowledgement;14
7;Preface;16
8;Notations;20
9;CHAPTER 1. A GENERAL INTRODUCTION TO PARAMETER ESTIMATION;24
9.1;1.1 System Identification-Parameter Estimation : why did it become important in measurement techniques;24
9.2;1.2 Steps in the identification process;25
9.3;1.3 Parameter estimation, an example : measurement of a resistor;29
9.4;1.4 The ideal estimator;35
9.5;1.5 A statistical approach to the estimation problem;38
9.6;1.6 Summary;52
10;CHAPTER 2. A REVIEW OF ESTIMATION METHODS AND THEIR APPUCATIONS;54
10.1;2.1 Introduaion;54
10.2;2.2 Motives in focusing on the least squares technique;55
10.3;2.3 Parametric models / non-paramteric models;56
10.4;2.4 Parametric models;62
10.5;2.5 Time domain versus frequency domain;73
10.6;2.6 Errors due to noise on the independent variables;88
10.7;2.7 Summary;91
11;CHAPTER 3. A MAXIMUM LIKELIHOOD ESTIMATOR FOR LINEAR TIME INVARIANT SYSTEMS;92
11.1;3.1 Introduction;92
11.2;3.2 Measurement of a resistance;97
11.3;3.3 Estimation of transfer functions : a practical approach;101
11.4;3.4 Estimation of transfer functions : a theoretical approach;113
11.5;3.5 Comparison with other methods;129
11.6;3.6 Numerical considerations;132
11.7;3.7 Simulations;136
11.8;3.8 Extensions of the model;147
11.9;3.9 Application of ELiS to experimental data;150
11.10;3.10 Conclusions;154
11.11;Appendix to Chapter 3;155
12;CHAPTER 4. DESIGN OF EXCITATON SIGNALS;166
12.1;4.1 Introduaion;166
12.2;4.2 Optimization of the time domain behaviour of excitation signals;172
12.3;4.3 Optimizing the frequency domain behaviour of excitation signals : design of optimized power spectra;198
12.4;4.4 Summary;208
12.5;Appendix 1 : Crest factor minimization of multisines;209
12.6;Appendix 2 : Interpretation of the dispersion function;212
13;CHAPTER 5. MODEL SELECnON;216
13.1;5.1 Introduaion;216
13.2;5.2 Verification of model validity;217
13.3;5.3 Influence of selecting an over-complex model;218
13.4;5.4 Introduction of the model complexity in the cost function;224
13.5;5.5 Study of the influence of model errors on the behaviour of the cost function;226
13.6;5.6 Optimal experiment strategy;230
13.7;5.7 Examples;233
14;CHAPTER 6. ESTIMATION OF LINEAR TIME INVAIOANT SYSTEMS WITH DELAY;244
14.1;6.1 Introduction;244
14.2;6.2 The estimation algorithm and its properties;246
14.3;6.3 Simulations;248
14.4;6.4 Conclusion;251
15;CHAPTER 7. PHASE CORRECTION OF LINEAR INVARIANT SYSTEMS WITH DIGITAL ALLPASS FILTERS;254
15.1;7.1 Introduction;254
15.2;7.2 Phase distortion;255
15.3;7.3 The phase correction algorithm;257
15.4;7.4 Optimization strategy;258
15.5;7.5 Comparison with existing methods;261
15.6;7.6 Noise sensitivity;266
15.7;7.7 Experimental results;268
15.8;7.8 Conclusion;269
15.9;Appendix to Chapter 7;270
16;CHAPTER 8. APPLICA¹ON OF ELIS TO MEASUREMENT PROBLEMS;272
16.1;8.1 Introduaion;272
16.2;8.2 Modal analysis;273
16.3;8.3 Flight flutter data analysis;286
16.4;8.4 Time domain reflectometry;291
16.5;8.5 Electrical machines;297
16.6;8.6 Equalization of a data acquisition channel;303
16.7;8.7 Design of digital differentiators and integrators;313
16.8;8.8 Conclusion;325
16.9;Appendix to Chapter 8;326
17;CHAPTER 9. A GUIDEUNE FOR TRANSFER FUNCTION ES¹MATION;328
17.1;9.1 Introduction;328
17.2;9.2 Accurate modeling of a linear analog system;328
17.3;9.3 Modeling recipe;337
17.4;References;338
18;Author index;348
19;Subject index;352