Title
Finite-frequency fault detection for two-dimensional Fornasini–Marchesini dynamical systems
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.
Year
DOI
Venue
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 Ren1111.88
Dawei Ding210015.43
Qing Li3135.54