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Systems with Hysteresis: Analysis, Identification and Control Using the Bouc-Wen Model / Edition 1

Systems with Hysteresis: Analysis, Identification and Control Using the Bouc-Wen Model / Edition 1

by Faycal Ikhouane, Jose Rodellar


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Product Details

ISBN-13: 9780470032367
Publisher: Wiley
Publication date: 08/31/2007
Pages: 222
Product dimensions: 6.20(w) x 9.30(h) x 0.70(d)

About the Author

Fayçal Ikhouane, Universitat Politècnica deCatalunya,  Departament de Matemàtica Aplicada III,Escola Universitària d’Enginyeria TècnicaIndustrial de Barcelona. C/ Comte d’Urgell, 187, 08036,Barcelona, Spain.
Fayçal Ikhouane currently holds both a research and teachingpost with the Control, Dynamics and Applications group at theTechnical University of Catalunya, Spain. He has been in this jobsince 2002, after having been a visiting scholar at the Universityof California in Santa Barbara, and a lecturer and associateresearcher with the Ecole Nationale d’Industrie Minéraleand the Ecole Mohammadia d’Ingénieurs in Morocco. Healso worked in industry as a control engineer at theSociété des Ciments d’Agadir, Morocco. Dr Ikhouaneis now conducting research on modelling, identification and controlof mechanical systems and smart structures with nonlinearities suchas hysteresis and friction, and is helping to set up a new researchlaboratory on these topics. He has co-authored around 10 journalpapers and 20 papers and presentations at major conferences.

José Rodellar, Universitat Politècnica deCatalunya, Departament de Matemàtica Aplicada III, EscolaTècnica Superior d’Enginyers de Camins, Canalsi Ports,Campus Nord UPC, C2, 08034, Barcelona, Spain.
José Rodellar is currently a Professor in the School of CivilEngineering at the Technical University of Catalunya, Spain. He hasbeen at the university since 1976, and is now Director of theControl, Dynamics and Applications group, which carries outtheoretical and applied research on modelling and control, withapplications in structural control and smart structures. Previousto this, he has been visiting professor at the Department of CivilEngineering, at the State University of New York, Buffalo (USA),and visiting scholar at the Department of Mechanical Engineering,University of California, Berkeley. He is a member of the Board ofDirectors of the International Association for Structural Controland Monitoring, has co-authored and edited five books, includingAdaptive Predictive Control:  From the Concepts to PlantOptimization (Prentice Hall, 1995), Smart Structures andNATO Workshop (Kluwer, 1998), and co-authored around 160journal and conference papers.

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Table of Contents


List of Figures.

List of Tables.                                                                                          


1.1 Objective and contents of the book

1.2 The Bouc-Wen model: origin and literature review

2. Physical consistency of the Bouc-Wenmodel          

2.1 Introduction 

2.2 BIBO stability of the Bouc-Wen model

2.2.1 The model

2.2.2 Problem statement

2.2.3 Classi¯cation of the BIBO stable Bouc-Wenmodels      

2.2.4 Practical remarks

2.3 Free motion of a hysteretic structural system

2.3.1 Problem statement

2.3.2 Asymptotic trajectories

2.3.3 Practical remarks

2.4 Passivity of the Bouc-Wen model

2.5 Limit cases

2.5.1 The limit case n = 1

2.5.2 The limit case ® = 1

2.5.3 The limit case ® = 0

2.5.4 The limit case ¯ + ° = 0

2.6 Conclusion

3 Forced limit cycle characterization of the Bouc-Wenmodel            

3.1 Introduction 

3.2 Problem statement

3.2.1 The class of inputs

3.2.2 Problem statement

3.3 The normalized Bouc-Wen model

3.4 Instrumental functions

3.5 Characterization of the asymptotic behavior of thehysteretic


3.5.1 Technical Lemmas

3.5.2 Analytic description of the forced limit cycles forthe

Bouc-Wen model

3.6 Simulation example

3.7 Conclusion 

4 Variation of the hysteresis loop with the Bouc-Wenmodelparameters                                                                                       

4.1 Introduction

4.2 Background results and methodology of the analysis

4.2.1 Background results

4.2.2 Methodology of the analysis

4.3 Maximal value of the hysteretic output

4.3.1 Variation with respect to ±

4.3.2 Variation with respect to ¾

4.3.3 Variation with respect to n

4.3.4 Summary of the obtained results

4.4 Variation of the zero of the hysteretic output

4.4.1 Variation with respect to ±

4.4.2 Variation with respect to ¾

4.4.3 Variation with respect to n

4.4.4 Summary of the obtained results

4.5 Variation of the hysteretic output with the Bouc-Wenmodel


4.5.1 Variation with respect to ±

4.5.2 Variation with respect to ¾

4.5.3 Variation with respect to n

4.5.4 Summary of the obtained results

4.6 The four regions of the Bouc-Wen model

4.6.1 The linear region Rl

4.6.2 The plastic region Rp

4.6.3 The transition regions Rt andRs

4.7 Interpretation of the normalized Bouc-Wen modelparameters       

4.7.1 The parameters ½ and ±

4.7.2 The parameter ¾

4.7.3 The parameter n

4.8 Conclusion

5 Robust identification of the Bouc-Wen modelparameters          

5.1 Introduction

5.2 Parameter identi¯cation for the Bouc-Wen


5.2.1 Class of inputs

5.2.2 Identi¯cation methodology

5.2.3 Robustness of the identi¯cation method 

5.2.4 Numerical simulation example

5.3 Modeling and identi¯cation of a magnetorheologicaldamper     

5.3.1 Some insights into the viscous + Bouc-Wen model for

shear mode MR dampers

5.3.2 Alternatives to the viscous + Bouc-Wen model for

shear mode MR dampers

5.4 Identi¯cation methodology for the viscous + Dahl model. .          

5.4.1 Numerical simulations 

5.5 Conclusion

6 Control of a system with a Bouc-Wenhysteresis                

6.1 Introduction and problem statement

6.2 Control design and stability analysis

6.3 Numerical simulation

6.4 Conclusion 

A Mathematicalbackground                                                              

A.1 Existence and uniqueness of solutions

A.2 Concepts of stability

A.3 Passivity and absolute stability

A.3.1 Passivity in mechanical systems

A.3.2 Positive realness

A.3.3 Sector functions

A.3.4 Absolute stability

A.4 Input-output properties



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