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

Zhou, Meng; Rodrigues, Mickael; Shen, Yi; Theilliol, Didier

doi:10.2478/amcs-2018-0006

Abstract

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.

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

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