Optimal interval observers for discrete-time linear switched systems

Thach Ngoc Dinh (1) , Ghassen Marouani (2) , Tarek Raïssi (1) , Zhenhua Wang (3) , Hassani Messaoud (2)

1 CEDRIC - LAETITIA - CEDRIC. Traitement du signal et architectures électroniques
2 ENIM - École Nationale d’Ingénieurs de Monastir
3 HIT - Harbin Institute of Technology

The main goal of this paper is to present a methodology to design interval observers for discrete-time linear switched systems affected by bounded, but unknown disturbances. Two design techniques are presented. The first one requires that the observation error dynamics are nonnegative while the second one relaxes this restrictive requirement by a change of coordinates. Furthermore, ideas of using H∞ formalism to compute optimal gains are proposed. Finally, illustrative examples highlight the performance of our methodology.

Domaines: Automatique / Robotique

Thach Ngoc Dinh, Ghassen Marouani, Tarek Raïssi, Zhenhua Wang, Hassani Messaoud. Optimal interval observers for discrete-time linear switched systems. International Journal of Control, 2020, pp.1-9. ⟨10.1080/00207179.2019.1575518⟩. ⟨hal-02434041⟩