Ellipsoid bundle and its application to set-membership estimation

Wentao Tang (1) , Qinghua Zhang (2, 3) , Zhenhua Wang (1) , Yi Shen (1)

1 HIT - Harbin Institute of Technology
2 COSYS-SII - Structure et Instrumentation Intégrée
3 I4S - Statistical Inference for Structural Health Monitoring

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.

Mots clés: Ellipsoid; set-membership estimation; zonotope; ellipsoid bundle

Domaines: Automatique

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, ⟨10.1016/j.ifacol.2020.12.871⟩. ⟨hal-02970672⟩