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2 results on '"Ellipsoid bundle"'

1. Set-membership estimation based on ellipsoid bundles for discrete-time LPV descriptor systems

Author

Tang, Wentao, Zhang, Qinghua, Wang, Zhenhua, Shen, Yi, Dalian University of Technology, Statistical Inference for Structural Health Monitoring (I4S), Inria Rennes – Bretagne Atlantique, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Département Composants et Systèmes (COSYS), Université Gustave Eiffel-Université Gustave Eiffel, and Harbin Institute of Technology (HIT)

Subjects
zonotope, Control and Systems Engineering, [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering, Ellipsoid bundle, Electrical and Electronic Engineering, LPV systems, Set-membership estimation, Descriptor systems
Abstract

International audience; This paper considers set-membership estimation for discrete-time linear parameter-varying descriptor systems. Ellipsoid bundle, a new set representation tool combining certain characteristics of ellipsoids and zonotopes, is used to design a setmembership estimation method for the considered systems. We use the L∞ technique to design the estimator parameters in order to optimize estimation accuracy. This paper also studies the stability problem of the proposed method and establishes an offline sufficient stability condition. Finally, simulation results are presented to illustrate the effectiveness of the proposed method.

Published
2022

2. Ellipsoid bundle and its application to set-membership estimation ⋆

Author

Yi Shen, Qinghua Zhang, Zhenhua Wang, Wentao Tang, Harbin Institute of Technology (HIT), Structure et Instrumentation Intégrée (COSYS-SII ), Université Gustave Eiffel, Statistical Inference for Structural Health Monitoring (I4S), Inria Rennes – Bretagne Atlantique, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Département Composants et Systèmes (COSYS), Université Gustave Eiffel-Université Gustave Eiffel, and Zhang, Qinghua

Subjects
Estimation, 0209 industrial biotechnology, Computer science, Computation, 020208 electrical & electronic engineering, MathematicsofComputing_NUMERICALANALYSIS, Ellipsoid, 02 engineering and technology, Set (abstract data type), Noise, 020901 industrial engineering & automation, Control and Systems Engineering, zonotope, ellipsoid bundle, TheoryofComputation_ANALYSISOFALGORITHMSANDPROBLEMCOMPLEXITY, Bundle, Bounded function, [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering, set-membership estimation, 0202 electrical engineering, electronic engineering, information engineering, Estimation methods, [INFO.INFO-AU] Computer Science [cs]/Automatic Control Engineering, Algorithm
Abstract

International audience; This paper studies set-membership estimation for discrete linear time-varying systems subject to unknown disturbance and noise, which are bounded by ellipsoids. To improve the existing ellipsoid-based set-membership estimation methods, we propose a new set representation tool, called ellipsoid bundle, which combines the advantages of ellipsoids and zonotopes for uncertainty set representation and computation. Then, ellipsoidal bundles are used to design a new set-membership estimation method.

Published
2020

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