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Fault detection observer design for periodic piecewise linear systems

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  • Chenchen Fan
  • James Lam
  • Xiaochen Xie

Abstract

This article deals with the problem of fault detection observer design for continuous-time periodic piecewise linear systems. Mixed $H_-/H_{\infty } $H−/H∞ performance index is introduced, which results in a trade-off between robustness to unknown input and sensitivity to a fault. Based on a class of Lyapunov functions with time-varying Lyapunov matrices, sufficient conditions are developed to investigate the existence of periodic piecewise fault detection observer with weighted $H_-/H_{\infty } $H−/H∞ performance. A tractable iterative algorithm is proposed to establish the desired periodic piecewise fault detection observer. Finally, a numerical example is provided to illustrate the effectiveness of the proposed approach.

Suggested Citation

  • Chenchen Fan & James Lam & Xiaochen Xie, 2020. "Fault detection observer design for periodic piecewise linear systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 51(9), pages 1622-1636, July.
    • Handle: RePEc:taf:tsysxx:v:51:y:2020:i:9:p:1622-1636
    DOI: 10.1080/00207721.2020.1772399
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