Title | ||
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Finite-frequency fault detection for two-dimensional Fornasini –Marchesini dynamical systems |
Abstract | ||
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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. |
Year | DOI | Venue |
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2017 | 10.1080/00207721.2017.1333169 | International Journal of Systems Science |
Keywords | Field | DocType |
Fault detection, two-dimensional systems, finite frequency | Control theory,Fault detection and isolation,Matrix (mathematics),Regular polygon,Dynamical systems theory,Attenuation,Lemma (mathematics),Mathematics | Journal |
Volume | Issue | ISSN |
48 | 12 | 0020-7721 |
Citations | PageRank | References |
5 | 0.42 | 17 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Yingying Ren | 1 | 11 | 1.88 |
Dawei Ding | 2 | 100 | 15.43 |
Qing Li | 3 | 13 | 5.54 |