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Zonotopes : From Guaranteed State-estimation to Control

By: Le, Vu Tuan Hieu.
Contributor(s): Stoica, Cristina | Alamo, Teodoro | Camacho, Eduardo F | Dumur, Didier.
Material type: TextTextSeries: eBooks on Demand.ISTE: Publisher: Hoboken : Wiley, 2013Description: 1 online resource (168 p.).ISBN: 9781118761540.Subject(s): Automatic control | Estimation theory | Fuzzy systems | Set theoryGenre/Form: Electronic books.Additional physical formats: Print version:: Zonotopes : From Guaranteed State-estimation to ControlDDC classification: 629.8 Online resources: Click here to view this ebook.
Contents:
Cover; Title page; Contents; Notations; Acronyms; Introduction; Chapter 1. Uncertainty Representation Based on Set Theory; 1.1. Basic set definitions: advantages and weaknesses; 1.1.1. Interval set; 1.1.2. Ellipsoidal set; 1.1.3. Polyhedral set; 1.1.4. Zonotopic set; 1.2. Main properties of zonotopes; Chapter 2. Several Approaches on Zonotopic Guaranteed Set-Membership Estimation; 2.1. Context; 2.2. Problem formulation; 2.2.1. Singular Value Decomposition-based method 35; 2.2.2. Optimization-based methods; Chapter 3. Zonotopic Guaranteed State Estimation Based on P-Radius Minimization
3.1. Single-Output systems approach3.2. Multi-Output systems approaches; 3.2.1. General formulation; 3.2.2. Extensions of the Single-Output systems methodology; 3.2.3. Dedicated approach for Multi-Output systems; Chapter 4. Tube Model Predictive Control Based on Zonotopic Set-Membership Estimation; 4.1. Context; 4.2. Problem formulation; 4.3. Tube-based output feedback Model Predictive Control design; 4.4. Application on the magnetic levitation system; 4.4.1. System description; 4.4.2. Control problem; Conclusion and Perspectives; Appendix. Basic Matrix Operation Definitions; Bibliography
Index
Summary: This title focuses on two significant problems in the field of automatic control, in particular state estimation and robust Model Predictive Control under input and state constraints, bounded disturbances and measurement noises. The authors build upon previous results concerning zonotopic set-membership state estimation and output feedback tube-based Model Predictive Control. Various existing zonotopic set-membership estimation methods are investigated and their advantages and drawbacks are discussed, making this book suitable both for researchers working in automatic control and industrial pa
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Cover; Title page; Contents; Notations; Acronyms; Introduction; Chapter 1. Uncertainty Representation Based on Set Theory; 1.1. Basic set definitions: advantages and weaknesses; 1.1.1. Interval set; 1.1.2. Ellipsoidal set; 1.1.3. Polyhedral set; 1.1.4. Zonotopic set; 1.2. Main properties of zonotopes; Chapter 2. Several Approaches on Zonotopic Guaranteed Set-Membership Estimation; 2.1. Context; 2.2. Problem formulation; 2.2.1. Singular Value Decomposition-based method 35; 2.2.2. Optimization-based methods; Chapter 3. Zonotopic Guaranteed State Estimation Based on P-Radius Minimization

3.1. Single-Output systems approach3.2. Multi-Output systems approaches; 3.2.1. General formulation; 3.2.2. Extensions of the Single-Output systems methodology; 3.2.3. Dedicated approach for Multi-Output systems; Chapter 4. Tube Model Predictive Control Based on Zonotopic Set-Membership Estimation; 4.1. Context; 4.2. Problem formulation; 4.3. Tube-based output feedback Model Predictive Control design; 4.4. Application on the magnetic levitation system; 4.4.1. System description; 4.4.2. Control problem; Conclusion and Perspectives; Appendix. Basic Matrix Operation Definitions; Bibliography

Index

This title focuses on two significant problems in the field of automatic control, in particular state estimation and robust Model Predictive Control under input and state constraints, bounded disturbances and measurement noises. The authors build upon previous results concerning zonotopic set-membership state estimation and output feedback tube-based Model Predictive Control. Various existing zonotopic set-membership estimation methods are investigated and their advantages and drawbacks are discussed, making this book suitable both for researchers working in automatic control and industrial pa

Description based upon print version of record.

Author notes provided by Syndetics

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

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