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What is included with this book?
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.
Introduction
Chapter 1: Uncertainty representation based on set theory
a. Basic set definitions : advantages and weaknesses
i. Interval set
ii. Ellipsoidal set
iii. Polyhedral set
iv. Zonotopic set
b. Main properties of zonotopes
c. Conclusion
Chapter 2: Existing approaches on zonotopic guaranteed set-membership estimation
a. Context
b. Problem formulation
i. Singular Value Decomposition-based methods
ii. Optimization-based methods
1. Minimizing the segments of the zonotope
2. Minimizing the volume of the zonotope
3. Minimizing the P-radius of the zonotope
Chapter 3: Guaranteed state estimation based on P-radius minimization
a. Single-Output systems approach
b. Multi-Output systems approaches
i. Extensions of the methodology for Single-Output systems
ii. Dedicated approach for Multi-Output systems
Chapter 4: Tube Model Predictive Control based on zonotopic set-membership estimation
c. Tube-based output feedback Model Predictive Control design
d. Conclusion
Conclusion, perspectives and open problems
Appendix: Basic matrix operation definitions
Notations and acronyms
Bibliography
Index
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