期刊
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
卷 48, 期 12, 页码 2610-2621出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207721.2017.1333169
关键词
Fault detection; two-dimensional systems; finite frequency
类别
资金
- National Natural Science Foundation of China [61473032]
- Program for New Century Excellent Talents in University [NCET-13-0662]
- Beijing Natural Science Foundation [4153061]
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-infinity 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.
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