Zonotopes: From Guaranteed State-estimation to Control

Author:   Vu Tuan Hieu Le ,  Cristina Stoica ,  Teodoro Alamo ,  Eduardo F. Camacho
Publisher:   ISTE Ltd and John Wiley & Sons Inc
ISBN:  

9781848215894


Pages:   176
Publication Date:   25 October 2013
Format:   Hardback
Availability:   Out of stock   Availability explained
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Zonotopes: From Guaranteed State-estimation to Control


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Author:   Vu Tuan Hieu Le ,  Cristina Stoica ,  Teodoro Alamo ,  Eduardo F. Camacho
Publisher:   ISTE Ltd and John Wiley & Sons Inc
Imprint:   ISTE Ltd and John Wiley & Sons Inc
Dimensions:   Width: 16.30cm , Height: 2.00cm , Length: 23.90cm
Weight:   0.454kg
ISBN:  

9781848215894


ISBN 10:   1848215894
Pages:   176
Publication Date:   25 October 2013
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

Notations vii Acronyms ix Introduction xi Chapter 1 Uncertainty Representation Based on Set Theory 1 1.1 Basic set definitions: advantages and weaknesses 3 1.1.1 Interval set 5 1.1.2 Ellipsoidal set 7 1.1.3 Polyhedral set 9 1.1.4 Zonotopic set 12 1.2 Main properties of zonotopes 17 Chapter 2 Several Approaches on Zonotopic Guaranteed Set-Membership Estimation 27 2.1 Context 27 2.2 Problem formulation 32 2.2.1 Singular Value Decomposition-based method 35 2.2.2 Optimization-based methods 40 vi Zonotopes Chapter 3 Zonotopic Guaranteed State Estimation Based on P-Radius Minimization 49 3.1 Single-Output systems approach 49 3.2 Multi-Output systems approaches 63 3.2.1 General formulation 64 3.2.2 Extensions of the Single-Output systems methodology 67 3.2.3 Dedicated approach for Multi-Output systems 85 Chapter 4 Tube Model Predictive Control Based on Zonotopic Set-Membership Estimation 95 4.1 Context 95 4.2 Problem formulation 100 4.3 Tube-based output feedback Model Predictive Control design 100 4.4 Application on the magnetic levitation system 112 4.4.1 System description 113 4.4.2 Control problem 116 Conclusion and Perspectives 125 Appendix Basic Matrix Operation Definitions 129 Bibliography 133 Index 149

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Author Information

Cristina STOICA is Assistant Professor at Automatic Control Department, SUPELEC Systems Sciences (E3S), Gif-sur-Yvette, France. Vu Tuan Hieu LE – Postdoctoral position, Unité de Recherche Informatique Automatique, Ecole des Mines de Douai, France. Teodoro ALAMO – Professor, Department of Ingenieria de Sistemas y Automatica, Universidad de Sevilla, Spain. Eduardo F. CAMACHO – Professor, Department of Ingenieria de Sistemas y Automatica, Universidad de Sevilla, Spain. Didier DUMUR – Professor, Automatic Control Department, SUPELEC Systems Sciences (E3S), Gif-sur-Yvette, France.

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