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Finite-frequency fault detection for two-dimensional Fornasini–Marchesini dynamical systems

Author

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  • Yingying Ren
  • Da-Wei Ding
  • Qing Li

Abstract

This paper is concerned with the fault detection problem for two-dimensional (2-D) discrete-time systems described by the Fornasini–Marchesini local state-space model. The goal of the paper is to design a fault detection filter to detect the occurrence of faults in finite-frequency domain. To this end, a finite-frequency H− index is used to describe fault sensitivity performance, and a finite-frequency H∞ index is used to describe disturbance attenuation performance. In light of the generalised Kalman–Yakubovich–Popov lemma for 2-D systems and matrix inequality techniques, convex conditions are derived for this fault detection problem. Based on these conditions, a numerical algorithm is put forward to construct a desired fault detection filter. Finally, a numerical example and an industrial example are given to illustrate the effectiveness of the proposed algorithm.

Suggested Citation

  • Yingying Ren & Da-Wei Ding & Qing Li, 2017. "Finite-frequency fault detection for two-dimensional Fornasini–Marchesini dynamical systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(12), pages 2610-2621, September.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:12:p:2610-2621
    DOI: 10.1080/00207721.2017.1333169
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