H_/H∞ fault detection observer design for a polytopic LPV system using the relative degree

Meng Zhou (1) , Mickael Rodrigues (2) , Yi Shen (1) , Didier Theilliol (3)

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

This paper proposes an H−/H∞ fault detection observer method by using generalized output for a class of polytopic linear parameter-varying (LPV) systems. As the main contribution, with the aid of the relative degree of output, a new output vector is generated by gathering the original output and its time derivative, and it is feasible to consider H− actuator fault sensitivity in the entire frequency for the new system. In order to improve actuator and sensor fault sensitivity as well as guarantee robustness against disturbances, simultaneously, an H−/H∞ fault detection observer is designed for the new LPV polytopic system. Besides, the design conditions of the proposed observer are transformed into an optimization problem by solving a set of linear matrix inequalities (LMIs). Numerical simulations are provided to illustrate the effectiveness of the proposed method.

Domaines: Automatique / Robotique; Automatique

Meng Zhou, Mickael Rodrigues, Yi Shen, Didier Theilliol. H_/H∞ fault detection observer design for a polytopic LPV system using the relative degree. International Journal of Applied Mathematics and Computer Science, 2018, 28 (1), pp.83-95. ⟨10.2478/amcs-2018-0006⟩. ⟨hal-01759454⟩