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Ellipsoid bundle and its application to set-membership estimation ⋆

Abstract : 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.
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https://hal.inria.fr/hal-02970672
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Submitted on : Sunday, October 18, 2020 - 10:32:31 PM
Last modification on : Wednesday, December 30, 2020 - 1:08:07 PM
Long-term archiving on: : Tuesday, January 19, 2021 - 6:29:20 PM

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Wentao Tang, Qinghua Zhang, Zhenhua Wang, Yi Shen. Ellipsoid bundle and its application to set-membership estimation ⋆. IFAC 2020 - IFAC World Congress, Jul 2020, Berlin, Germany. pp.1-6. ⟨hal-02970672⟩

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