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1 International Journal of Applied Mathematics and Computer Science

1 2018

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

Zhou M., Rodrigues M., Shen Y., Theilliol D.

International Journal of Applied Mathematics and Computer Science

2018

Vol. 28, no. 1

83--95

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.