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Fault estimation for fractional-order linear systems with polytopic uncertainties in the finite frequency domain

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  • He Li
  • Guang-Hong Yang

Abstract

This paper investigates the problem of fault estimation for fractional-order systems with polytopic uncertainties. The faults and disturbances are considered to belong to finite frequency domains, and a fractional-order robust fault estimation filter is proposed for fault estimation with the known frequency ranges. As applications of the generalized Kalman–Yakubovich–Popov lemma, the fault estimation filter design problem is transformed into a multi-objective optimisation problem. By using the projection lemma and a linearising change of variables, sufficient conditions for the existence of the robust fault estimator are derived on the basis of a set of linear matrix inequalities. Numerical examples are used to demonstrate the validity of the presented method.

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  • He Li & Guang-Hong Yang, 2020. "Fault estimation for fractional-order linear systems with polytopic uncertainties in the finite frequency domain," International Journal of Systems Science, Taylor & Francis Journals, vol. 51(2), pages 389-403, January.
    • Handle: RePEc:taf:tsysxx:v:51:y:2020:i:2:p:389-403
    DOI: 10.1080/00207721.2020.1716100
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    Cited by:

    1. Zhang, Xuefeng & Lv, Yuanda & Zhang, Jin-Xi, 2024. "H∞ observer-based controller synthesis for fractional order systems over finite frequency range," Applied Mathematics and Computation, Elsevier, vol. 474(C).

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