$H_-/H_\infty$ fault detection observer design based on generalized output for polytopic LPV system

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 design method by using generalized output for a class of polytopic linear parameter-varying (LPV) system. First, with the aid of the relative degree of output, a new output vector is generated by gathering the original and its time derivative. The actuator fault is introduced into the measurement equation of the new system. An H−/H∞ observer is designed for the new LPV polytopic system to guarantee the robustness against disturbances and to improve the fault sensitivity, simultaneously. The existence conditions of the H−/H∞ observer are given and solved by a set of linear matrix inequalities (LMIs). Finally simulation results are given to illustrate the effectiveness of the proposed method.

Mots clés: relative degree; LPV; LMI; H−/H∞; FDI; obsever

Domaines: Automatique / Robotique; Automatique

Meng Zhou, Mickael Rodrigues, Yi Shen, Didier Theilliol. $H_-/H_\infty$ fault detection observer design based on generalized output for polytopic LPV system. 13th European Workshop on Advanced Control and Diagnosis, ACD 2016, Nov 2016, Lille, France. ⟨hal-01411092⟩