Signal Processing for Active Control (eBook)

Stephen Elliott (Autor)

eBook Download: PDF | EPUB

2000 | 1. Auflage
511 Seiten
Elsevier Science (Verlag)
978-0-08-051713-1 (ISBN)

Infos

Signal Processing for Active Control sets out the signal processing and automatic control techniques that are used in the analysis and implementation of active systems for the control of sound and vibration. After reviewing the performance limitations introduced by physical aspects of active control, Stephen Elliott presents the calculation of the optimal performance and the implementation of adaptive real time controllers for a wide variety of active control systems.

Active sound and vibration control are technologically important problems with many applications. 'Active control' means controlling disturbance by superimposing a second disturbance on the original source of disturbance. Put simply, initial noise + other specially-generated noise or vibration = silence [or controlled noise].

This book presents a unified approach to techniques that are used in the analysis and implementation of different control systems. It includes practical examples at the end of each chapter to illustrate the use of various approaches.

This book is intended for researchers, engineers, and students in the field of acoustics, active control, signal processing, and electrical engineering.

Inhalt

Front Cover 1
Signal Processing for Active Control 4
Copyright Page 5
Contents 6
Series Preface 10
Dedication 11
Preface 12
Glossary 16
Chapter1. The Physical Basis for Active Control 20
1.1.Introduction 21
1.2.Control of wave transmission 25
1.3.Control of power in infinite systems 32
1.4. Strategies of control in finite systems 40
1.5.Control of energy in finite systems 48
1.6. Control of sound radiation from structures 56
1.7. Local control of sound and vibration 64
Chapter 2. Optimal and Adaptive Digital Filters 68
2.1.Introduction 69
2.2.Structure of digital filters 72
2.3. Optimal filters in the time domain 76
2.4. Optimal filters in the transfortn Domain 82
2.5.Multichannel optimal filters 88
2.6. The LMS algorithm 96
2.7. The RLS algorithm 103
2.8.Frcquency-dornain adaptation 106
2.9. Adaptive IIR filters 111
Chapter3. Single-Channel Feedforward Control 122
3.1.Introduction 123
3.2.Control of deterministic disturbances 129
3.3. Optimal control of stochastic disturbances 139
3.4. Adaptive FIR controllers 151
3.5. Frequency-domain adaptation of FIR controllers 168
3.6. Plant identification 173
3.7. Adaptive IIR controllers 179
3.8. Practical applications 185
Chapter 4. Multichannel Control of Tonal Disturbances 196
4.1. Introduction 197
4.2. Optinlal control of tonal disturbances 198
4.3. Steepest-descent algorithms 205
4.4. Robustness to plant uncertainties and plant tnodel errors 219
4.5. Iterative least-squares algorithms 228
4.6. Feedback control interpretation of adaptive feedforward systems 239
4.7. Minimisation of the maximum level at any sensor 243
4.8. Applications 245
Chapter 5. Multichannel Control of Stochastic Disturbances 252
5.1. Introduction 252
5.2. Optimal control in the time domain 255
5.3. Optimal control in the transfom domain 260
5.4. Adaptive algorithms in the time domain 266
5.5. The preconditioned LMS algorithm 275
5.6. Adaptive algorithms in the frequency domain 280
5.7. Application: controlling road noise in vehicles 284
Chapter 6. Design and Perfomance of Feedback Controllers 290
6.1. Introduction 291
6.2. Analogue controllers 297
6.3. Digital controllers 306
6.4. Internal model control (IMC) 308
6.5. Optimal control in the titne domain 314
6.6. Optimal control in the transform domain 321
6.7. Multichannel feedback controllers 325
6.8. Robust stahility for multichannel systems 328
6.9. Optimal multichannel control 335
6.10. Application: active headrest 338
Chapter7. Adaptive Feedback Controllers 348
7.1. Introduction 348
7.2. Tirne-domain adaptation 354
7.3. Frequency-domain adaptation 360
7.4. Combined feedback and feedforward control 368
7.5. Combined analogue and digital controllers 373
7.6. Application: active headsets 376
Chapter8. Active Control of Nonlinear Systems 386
8.1. Introduction 386
8.2. Analytical descriptions of nonlinear systems 394
8.3. Neural networks 397
8.4. Adaptive feedforward control 409
8.5. Chaotic systems 418
8.6. Control of chaotic behaviour 424
Chapter 9. Optimisation of Transducer Location 430
9.1. The optilnisation problcnl 430
9.2. Optimisation of secondary source and error sensor location 433
9.3. Application of genetic algorithms 442
9.4. Application of simulated annealing 447
9.5. Practical optimisation of source location 451
Chapter 10. Hardware for Active Control 458
10.1. Introduction 458
10.2. Anti-aliasing filters 461
10.3. Reconstruction filters 464
10.4. Filter delay 466
10.5. Data converters 469
10.6. Data quantisation 472
10.7. Processor requirements 476
10.8. Finite-precision effects 481
Appendix: Linear Algebra and the Description of Multichannel Systems 486
A.l. Vectors 486
A.2. Matrices 487
A.3. Determinants and the inverse matrix 490
A.4. Trace of a matrix and its derivatives 492
A.5. Outer products and spectral density matrices 494
A.6. Matrix and vector quadratic equations 497
A.7. Eigenvalue/eigenvector decomposition 498
A.8. Singular value decomposition 500
A.9. Vector and matrix norms 503
References 508
Index 526

Produkt-Details

• Erscheint lt. Verlag: 26.9.2000
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Informatik
• Themenwelt: Naturwissenschaften ► Chemie ► Technische Chemie
• Themenwelt: Technik ► Bauwesen
• Themenwelt: Technik ► Elektrotechnik / Energietechnik
• Themenwelt: Technik ► Nachrichtentechnik
• Themenwelt: Technik ► Umwelttechnik / Biotechnologie
• ISBN-10: 0-08-051713-7 / 0080517137
• ISBN-13: 978-0-08-051713-1 / 9780080517131