Cover image for Zonotopes / from Guaranteed State-Estimation to Control : From Guaranteed State-Estimation to Control.
Zonotopes / from Guaranteed State-Estimation to Control : From Guaranteed State-Estimation to Control.
Title:
Zonotopes / from Guaranteed State-Estimation to Control : From Guaranteed State-Estimation to Control.
Author:
Stoica, Cristina.
ISBN:
9781118761540
Personal Author:
Edition:
1st ed.
Physical Description:
1 online resource (168 pages)
Series:
Iste
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 approach -- 3.2. 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.
Abstract:
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 partners interested in applying the proposed techniques to real systems. The authors proceed to focus on a new method based on the minimization of the P-radius of a zonotope, in order to obtain a good trade-off between the complexity and the accuracy of the estimation. They propose a P-radius based set-membership estimation method to compute a zonotope containing the real states of a system, which are consistent with the disturbances and measurement noise. The problem of output feedback control using a zonotopic set-membership estimation is also explored. Among the approaches from existing literature on the subject, the implementation of robust predictive techniques based on tubes of trajectories is developed. Contents 1. Uncertainty Representation Based on Set Theory. 2. Several Approaches on Zonotopic Guaranteed Set-Membership Estimation. 3. Zonotopic Guaranteed State Estimation Based on P-Radius Minimization. 4. Tube Model Predictive Control Based on Zonotopic Set-Membership Estimation. About the Authors Vu Tuan Hieu Le is a Research Engineer at the IRSEEM/ESIGELEC Technopôle du Madrillet, Saint Etienne du Rouvray, France. Cristina Stoica is Assistant Professor in the Automatic Control Department at SUPELEC Systems Sciences (E3S), France. Teodoro Alamo is

Professor in the Department of Systems Engineering and Automatic Control at the University of Seville, Spain. Eduardo F. Camacho is Professor in the Department of Systems Engineering and Automatic Control at the University of Seville, Spain. Didier Dumur is Professor in the Automatic Control Department, SUPELEC Systems Sciences (E3S), France.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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