Zonotopic state estimation and fault detection for systems with time-invariant uncertainties

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

1 HIT - Harbin Institute of Technology
2 I4S - Statistical Inference for Structural Health Monitoring
3 UPC - Universitat Politècnica de Catalunya = Université polytechnique de Catalogne [Barcelona]

This paper proposes a robust guaranteed state estimation method with application to fault detection by combining H observer design with zonotopic analysis for discrete-time systems with both time-variant and time-invariant uncertainties. In order to improve the estimation accuracy, based on the H ? technique, the observer design is achieved by solving a linear matrix inequality. The main contribution of this method lies in that the time invariance of some uncertainties is considered to reduce the conservatism of interval estimation. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed method.

Mots clés: SET-MEMBERSHIP; TIME-INVARIANT UNCERTAINTY; ZONOTOPES; H ? DESIGN

Domaines: Automatique

Zhenhua Wang, Wentao Tang, Qinghua Zhang, Vicenc Puig, Yi Shen. Zonotopic state estimation and fault detection for systems with time-invariant uncertainties. SAFEPROCESS 2018, 10th IFAC Symposium on Fault Detection, Diagnosis and Safety of Technical Processes, Aug 2018, Varsovie, Poland. pp.494-499, ⟨10.1016/j.ifacol.2018.09.622⟩. ⟨hal-01931311⟩