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Adaptive and Robust Active Vibration Control Methodology and Tests

:	Ioan D. Landau, Tudor-Bogdan Airimi oaie, Abraham Castellanos-Silva, Aurelian Constantinescu
:	Adaptive and Robust Active Vibration Control Methodology and Tests
:	Springer-Verlag
:	9783319414508
:	Advances in Industrial Control
:	1
:	CHF 85.90
:

:	Elektronik, Elektrotechnik, Nachrichtentechnik
:	English

:	405
:	Wasserzeichen/DRM
:	PC/MAC/eReader/Tablet
:	PDF

This book approaches the design of active vibration control systems from the perspective of today's ideas of computer control. It formulates the various design problems encountered in the active management of vibration as control problems and searches for the most appropriate tools to solve them. The experimental validation of the solutions proposed on relevant tests benches is also addressed. To promote the widespread acceptance of these techniques, the presentation eliminates unnecessary theoretical developments (which can be found elsewhere) and focuses on algorithms and their use. The solutions proposed cannot be fully understood and creatively exploited without a clear understanding of the basic concepts and methods, so these are considered in depth. The focus is on enhancing motivations, algorithm presentation and experimental evaluation. MATLAB^®routines, Simulink^® dia rams and bench-test data are available for download and encourage easy assimilation of the experimental and exemplary material.

Three major problems are addressed in the book:

activ damping to improve the performance of passive absorbers;
adapti e feedback attenuation of single and multiple tonal vibrations; and
feedforward and feedback attenuation of broad band vibrations.

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Adaptive and Robust Active Vibration Control will interest practising engineers and help them to acquire new concepts and techniques with good practical validation. It can be used as the basis for a course for graduate students in mechanical, mechatronics, industrial electronics, aerospace and naval engineering. Readers working in active noise control will also discover techniques with a high degree of cross-over potential for use in their field.

Ioan Doré Landau has been Emeritus Research Director at CNRS since September 2003 and continues to collaborate with LAG INPG.

His research interests encompass theory and applications in system identification, adaptive control, robust digital control and nonlinear systems. He has (co-)authored over 200 papers. He is the author of several books and holds several patents and was the origin of several software packages in control developed by ADAPTECH. He advised 35 PhD students. He has delivered a number of Plenary Talks at International Conferences.

Dr. Landau received the Rufus Oldenburger Medal 2000 from ASME. He was an IEEE-CSS 'Distinguished Lecturer' for 2001-2003. He has been an IFAC Fellow since 2007 and received the Life Achievement Award from MCA in 2009.

	Series Editors Foreword	7
	Preface	9
	Website	10
	Expected Audience	11
	About the Content	11
	Pathways Through the Book	12
	Acknowledgements	14
	References[1] Constantinescu, A.: Commande robuste et adaptative d une suspension active. Thèse de doctorat, Institut National Polytechnique de Grenoble (2001)[2] Alma, M.: Rejet adaptatif de perturbations en contrôle actif de vibrations. Ph.D. thesis, Université de Grenoble (2011)[3] Airimitoaie, T.B.: Robust design and tuning of active vibration control systems. Ph.D. thesis, University of Grenoble, France, and University Politehnica of Bucharest, Romania (2012)[4] Castellanos-Silva, A.: Compensation adaptative par feedback pour le contrôle actif de vibrations en présence d incertitudes sur les paramétres du procédé. Ph.D. thesis, Université de Grenoble (2014)[5] Landau, I.D., Silva, A.C., Airimitoaie, T.B., Buche, G., Noé, M.: Benchmark on adaptive regulation rejection of unknown/time-varying multiple narrow band disturbances. European Journal of Control 19(4), 237 252 (2013). http://dx.doi.org/10.1016/j.ejcon.2013.05.007#1	14
	Contents	15
	Acronyms	23
	Part I Introduction to Adaptive and Robust Active Vibration Control	25
	1 Introduction to Adaptive and Robust Active Vibration Control	26
	1.1 Active Vibration Control: Why and How	26
	1.2 A Conceptual Feedback Framework	32
	1.3 Active Damping	34
	1.4 The Robust Regulation Paradigm	34
	1.5 The Adaptive Regulation Paradigm	35
	1.6 Concluding Remarks	37
	1.7 Notes and Reference	38
	References	38
	2 The Test Benches	41
	2.1 An Active Hydraulic Suspension System Using Feedback Compensation	41
	2.2 An Active Vibration Control System Using Feedback Compensation Through an Inertial Actuator	44
	2.3 An Active Distributed Flexible Mechanical Structure	46
	2.4 Concluding Remarks	49
	2.5 Notes and References	50
	References	50
	Part II Techniques for Active Vibration Control	51
	3 Active Vibration Control Systems---Model Representation	52
	3.1 System Description	52
	3.1.1 Continuous-Time Versus Discrete-Time Dynamical Models	52
	3.1.2 Digital Control Systems	53
	3.1.3 Discrete-Time System Models for Control	55
	3.2 Concluding Remarks	58
	3.3 Notes and References	58
	References	58
	4 Parameter Adaptation Algorithms	59
	4.1 Introduction	59
	4.2 Structure of the Adjustable Model	60
	4.2.1 Case (a): Recursive Configuration for System Identification---Equation Error	60
	4.2.2 Case (b): Adaptive Feedforward Compensation---Output Error	62
	4.3 Basic Parameter Adaptation Algorithms	64
	4.3.1 Basic Gradient Algorithm	64
	4.3.2 Improved Gradient Algorithm	67
	4.3.3 Recursive Least Squares Algorithm	72
	4.3.4 Choice of the Adaptation Gain	77
	4.3.5 An Example	81
	4.4 Stability of Parameter Adaptation Algorithms	82
	4.4.1 Equivalent Feedback Representation of the Adaptive Predictors	83
	4.4.2 A General Structure and Stability of PAA	86
	4.4.3 Output Error Algorithms---Stability Analysis	90
	4.5 Parametric Convergence	92
	4.5.1 The Problem	92
	4.6 The LMS Family of Parameter Adaptation Algorithms	96
	4.7 Concluding Remarks	97
	4.8 Notes and References	98
	References	98
	5 Identification of the Active Vibration Control Systems---The Bases	100
	5.1 Introduction	100
	5.2 Input--Output Data Acquisition and Preprocessing	102
	5.2.1 Input--Output Data Acquisition Under an Experimental Protocol	102
	5.2.2 Pseudorandom Binary Sequences (PRBS)	102
	5.2.3 Data Preprocessing	104
	5.3 Model Order Estimation from Data	105
	5.4 Parameter Estimation Algorithms	107
	5.4.1 Recursive Extended Least Squares (RELS)	109
	5.4.2 Output Error with Extended Prediction Model (XOLOE)	111
	5.5 Validation of the Identified Models	113
	5.5.1 Whiteness Test	113
	5.6 Concluding Remarks	115
	5.7 Notes and References	116
	References	116
	6 Identification of the Test Benches in Open-Loop Operation	117
	6.1 Identification of the Active Hydraulic Suspension in Open-Loop Operation	117
	6.1.1 Identification of the Secondary Path	118
	6.1.2 Identification of the Primary Path	123
	6.2 Identification of the AVC System Using Feedback Compensation Through an Inertial Actuator	124
	6.2.1 Identification of the Secondary Path	124
	6.2.2 Identification of the Primary Path	130
	6.3 Identification of the Active Distributed Flexible Mechanical Structure Using Feedforward--Feedback Compensation	131
	6.4 Concluding Remarks	137
	6.5 Notes and References	137
	References	137
	7 Digital Control Strategies for Active Vibration Control---The Bases	139
	7.1 The Digital Controller	139
	7.2 Pole Placement	141
	7.2.1 Choice of HR and HS---Examples	142
	7.2.2 Internal Model Principle (IMP)	144
	7.2.3 Youla--Ku?era Parametrization	145
	7.2.4 Robustness Margins	147
	7.2.5 M