H?/H∞ fault detection observer design based on generalized output for polytopic LPV system

13th European Workshop on Advanced Control and Diagnosis

Zhou, Meng^1,2 ; Rodrigues, Mickael^2 ; Shen, Yi^1 ; Theilliol, Didier^3

School of Astronautics, Harbin Institute of Technology, Harbin

150001, China^1

Univ Lyon, Université Claude Bernard Lyon 1, CNRS, LAGEP UMR 5007, 43 boulevard du 11 novembre 1918, Villeurbanne

F-69100, France^2

Centre de Recherche en Automatique de Nancy (CRAN), Université de Lorraine, CNRS UMR 7039, Vandoeuvre-les-Nancy

F-54506, France^3

关键词: Existence conditions;    Fault sensitivity;    Linear Matrix Inequalities (LMIs);    Linear parameter varying systems;    Measurement equations;    Observer design;    Polytopic system;    Relative degrees;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/783/1/012002/pdf
DOI  :  10.1088/1742-6596/783/1/012002

来源: IOP

【 摘 要 】

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.