H ∞ interval observer design for uncertain discrete-time linear switched systems with unknown inputs

Ghassen Marouani (1) , Thach Ngoc Dinh (2) , Naima Sehli (3) , Tarek Raissi (2) , Zhenhua Wang (4) , Hassani Messaoud (1)

1 UM - Université de Monastir - University of Monastir
2 CEDRIC - LAETITIA - CEDRIC. Traitement du signal et architectures électroniques
3 ENIT - National Engineering School of Tunis = Ecole Nationale d'Ingénieurs de Tunis [University of Tunis El Manar]
4 HIT - Harbin Institute of Technology

This paper deals with unknown input interval observers for discrete-time linear switched systems. A new structure of interval observer is used to overcome the design difficulty of coordinate transformation often used in such context. The interval observer gains are computed by solving Linear Matrix Inequalities (LMI) derived from multiple quadratic Lyapunov functions (MQLF) under average dwell time switching signals.

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Domaines: Automatique / Robotique

Ghassen Marouani, Thach Ngoc Dinh, Naima Sehli, Tarek Raissi, Zhenhua Wang, et al.. H ∞ interval observer design for uncertain discrete-time linear switched systems with unknown inputs. 5th International Conference on Control, Automation and Diagnosis, Nov 2021, Grenoble, France. pp.1-6, ⟨10.1109/ICCAD52417.2021.9638731⟩. ⟨hal-03346702⟩