Simultaneous interval state and fault estimation for continuous-time switched systems

Chaima Zammali (1) , Jérémy van Gorp (1) , X. Ping (2) , Tarek Raissi (1)

1 CEDRIC - LAETITIA - CEDRIC. Traitement du signal et architectures électroniques
2 Xidian University

This paper deals with simultaneous interval state and fault estimation for continuous-time switched systems subject to unknown but bounded state disturbances. By taking the actuator fault vector as a part of an extended state vector, the original system is transformed into an augmented descriptor system. Under this augmented descriptor form, and by using a new structure of interval observers, the conservatism of observer gain matrices can be significantly reduced. The effect of disturbances is attenuated based on an L∞ approach. Then, the interval observer gains are computed by solving Linear Matrix Inequalities (LMIs) derived from a common Lyapunov function. Finally, a simulation example is given to illustrate the effectiveness of the proposed method.

Mots clés: state and fault estimation; continuous-time switched; interval observers; descriptor system; L∞ approach

Domaines: Automatique / Robotique

Chaima Zammali, Jérémy van Gorp, X. Ping, Tarek Raissi. Simultaneous interval state and fault estimation for continuous-time switched systems. 10th IFAC Symposium on Robust Control Design ROCOND 2022, Aug 2022, Online (Kyoto), Japan. pp.73-78, ⟨10.1016/j.ifacol.2022.09.326⟩. ⟨hal-03874705⟩