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

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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International Journal of Applied Mathematics and Computer Science, De Gruyter, 2018, 28 (1), pp.83-95. 〈10.2478/amcs-2018-0006〉
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Contributeur : Mickael Rodrigues <>
Soumis le : jeudi 5 avril 2018 - 14:33:51
Dernière modification le : mercredi 9 janvier 2019 - 15:05:52

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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, De Gruyter, 2018, 28 (1), pp.83-95. 〈10.2478/amcs-2018-0006〉. 〈hal-01759454〉

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