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Fault detection for singular switched linear systems with multiple time-varying delay in finite frequency domain

Author

Listed:
  • Ding Zhai
  • Anyang Lu
  • Jinghao Li
  • Qingling Zhang

Abstract

This paper deals with the problem of the fault detection (FD) for continuous-time singular switched linear systems with multiple time-varying delay. In this paper, the actuator fault is considered. Besides, the systems faults and unknown disturbances are assumed in known frequency domains. Some finite frequency performance indices are initially introduced to design the switched FD filters which ensure that the filtering augmented systems under switching signal with average dwell time are exponentially admissible and guarantee the fault input sensitivity and disturbance robustness. By developing generalised Kalman–Yakubovic–Popov lemma and using Parseval's theorem and Fourier transform, finite frequency delay-dependent sufficient conditions for the existence of such a filter which can guarantee the finite-frequency H− and H∞ performance are derived and formulated in terms of linear matrix inequalities. Four examples are provided to illustrate the effectiveness of the proposed finite frequency method.

Suggested Citation

  • Ding Zhai & Anyang Lu & Jinghao Li & Qingling Zhang, 2016. "Fault detection for singular switched linear systems with multiple time-varying delay in finite frequency domain," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(13), pages 3232-3257, October.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:13:p:3232-3257
    DOI: 10.1080/00207721.2015.1112932
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    References listed on IDEAS

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    1. Shuai Yuan & Xinzhi Liu, 2011. "Fault estimator design for a class of switched systems with time-varying delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(12), pages 2125-2135.
    2. Hameed, Z. & Hong, Y.S. & Cho, Y.M. & Ahn, S.H. & Song, C.K., 2009. "Condition monitoring and fault detection of wind turbines and related algorithms: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 13(1), pages 1-39, January.
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