Signal Processing for Active Control

by Stephen Elliott

Overview

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.

Product Details

ISBN-13:	9780080517131
Publisher:	Elsevier Science
Publication date:	09/26/2000
Series:	Signal Processing and its Applications
Sold by:	Barnes & Noble
Format:	eBook
Pages:	511
File size:	10 MB

Table of Contents

Series Preface		ix
Dedication		x
Preface		xi
Glossary		xv
The Physical Basis for Active Control		1	(48)
Introduction		2	(4)
Control of wave transmission		6	(7)
Control of power in infinite systems		13	(8)
Strategies of control in finite systems		21	(8)
Control of energy in finite systems		29	(8)
Control of sound radiation from structures		37	(8)
Local control of sound and vibration		45	(4)
Optimal and Adaptive Digital Filters		49	(54)
Introduction		50	(3)
Structure of digital filters		53	(4)
Optimal filters in the time domain		57	(6)
Optimal filters in the transform domain		63	(6)
Multichannel optimal filters		69	(8)
The LMS algorithm		77	(7)
The RLS algorithm		84	(3)
Frequency-domain adaptation		87	(5)
Adaptive IIR filters		92	(11)
Single-Channel Feedforward Control		103	(74)
Introduction		104	(6)
Control of deterministic disturbances		110	(10)
Optimal control of stochastic disturbances		120	(12)
Adaptive FIR controllers		132	(17)
Frequency-domain adaptation of FIR controllers		149	(5)
Plant identification		154	(6)
Adaptive IIR controllers		160	(6)
Practical applications		166	(11)
Multichannel Control of Tonal Disturbances		177	(56)
Introduction		178	(1)
Optimal control of tonal disturbances		179	(7)
Steepest-descent algorithms		186	(14)
Robustness to plant uncertainties and plant model errors		200	(9)
Iterative least-squares algorithms		209	(11)
Feedback control interpretation of adaptive feedforward systems		220	(4)
Minimisation of the maximum level at any sensor		224	(2)
Applications		226	(7)
Multichannel Control of Stochastic Disturbances		233	(38)
Introduction		233	(3)
Optimal control in the time domain		236	(5)
Optimal control in the transform domain		241	(6)
Adaptive algorithms in the time domain		247	(9)
The preconditioned LMS algorithm		256	(5)
Adaptive algorithms in the frequency domain		261	(4)
Application: controlling road noise in vehicles		265	(6)
Design and Performance of Feedback Controllers		271	(58)
Introduction		272	(6)
Analogue controllers		278	(9)
Digital controllers		287	(2)
Internal model control (IMC)		289	(6)
Optimal control in the time domain		295	(7)
Optimal control in the transform domain		302	(4)
Multichannel feedback controllers		306	(3)
Robust stability for multichannel systems		309	(7)
Optimal multichannel control		316	(3)
Application: active headrest		319	(10)
Adaptive Feedback Controllers		329	(38)
Introduction		329	(6)
Time-domain adaptation		335	(6)
Frequency-domain adaptation		341	(8)
Combined feedback and feedforward control		349	(5)
Combined analogue and digital controllers		354	(3)
Application: active headsets		357	(10)
Active Control of Nonlinear Systems		367	(44)
Introduction		367	(8)
Analytical descriptions of nonlinear systems		375	(3)
Neural networks		378	(12)
Adaptive feedforward control		390	(9)
Chaotic systems		399	(6)
Control of chaotic behaviour		405	(6)
Optimisation of Transducer Location		411	(28)
The optimisation problem		411	(3)
Optimisation of secondary source and error sensor location		414	(9)
Application of genetic algorithms		423	(5)
Application of simulated annealing		428	(4)
Practical optimisation of source location		432	(7)
Hardware for Active Control		439	(28)
Introduction		439	(3)
Anti-aliasing filters		442	(3)
Reconstruction filters		445	(2)
Filter delay		447	(3)
Data converters		450	(3)
Data quantisation		453	(4)
Processor requirements		457	(5)
Finite-precision effects		462	(5)
Appendix: Linear Algebra and the Description of Multichannel Systems		467	(22)
A.1. Vectors		467	(1)
A.2. Matrices		468	(3)
A.3. Determinants and the inverse matrix		471	(2)
A.4. Trace of a matrix and its derivatives		473	(2)
A.5. Outer products and spectral density matrices		475	(3)
A.6. Matrix and vector quadratic equations		478	(1)
A.7. Eigenvalue/eigenvector decomposition		479	(2)
A.8. Singular value decomposition		481	(3)
A.9. Vector and matrix norms		484	(5)
References		489	(18)
Index		507