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

Yingying Ren, Da-Wei Ding and Qing Li

International Journal of Systems Science, 2017, vol. 48, issue 12, 2610-2621

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.

Date: 2017
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DOI: 10.1080/00207721.2017.1333169

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