Actuator fault estimation observer design for discrete-time linear parameter-varying descriptor systems

Zhenhua Wang (1) , Mickael Rodrigues (2) , Didier Theilliol (3) , Yi Shen (4)

1 SNLEP
2 LAGEP - Laboratoire d'automatique et de génie des procédés
3 CRAN - Centre de Recherche en Automatique de Nancy
4 School of Astronautics, Harbin Institute of Technology

This paper deals with actuator fault estimation for a class of discrete-time Linear Parameter-Varying (LPV) descriptor systems. By considering the fault as an auxiliary state vector, an augmented system is established. Then, a fault estimation observer is designed based on the augmented system. In this paper, the fault estimation observer design is formulated as a Linear Matrix Inequality (LMI) feasibility problem. Therefore, all parameters of the observer can be simultaneously designed by solving a set of strict LMIs. In order to attenuate the effect of the unknown disturbance, fault variation, and measurement noise, we further propose a robust fault estimation observer design method, which is the main contribution of this paper. Finally, performance of the proposed robust fault estimation observer is shown through the application to a trucktrailer model.

Mots clés: descriptor systems; linear parameter varying (LPV); observer design; linear matrix inequality (LMI); discrete time; fault estimation

Domaines: Automatique / Robotique; Automatique

Zhenhua Wang, Mickael Rodrigues, Didier Theilliol, Yi Shen. Actuator fault estimation observer design for discrete-time linear parameter-varying descriptor systems. International Journal of Adaptive Control and Signal Processing, 2015, 29 (2), pp.242-258. ⟨10.1002/acs.2469⟩. ⟨hal-00936400⟩