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

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

1 Dalian University of Technology
2 I4S - Statistical Inference for Structural Health Monitoring
3 HIT - Harbin Institute of Technology

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.

Mots clés: Set-membership estimation; Ellipsoid bundle; Descriptor systems; LPV systems; zonotope

Domaines: Automatique

Wentao Tang, Qinghua Zhang, Zhenhua Wang, Yi Shen. Set-membership estimation based on ellipsoid bundles for discrete-time LPV descriptor systems. Automatica, 2022, 145, pp.1-11. ⟨10.1016/j.automatica.2022.110580⟩. ⟨hal-03850355⟩