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Wu, Ligang; Su, Xiaojie; Shi, Peng

Mixed \(\mathcal H_2/\mathcal H_{\infty}\) approach to fault detection of discrete linear repetitive processes. (English) Zbl 1208.94032

J. Franklin Inst. 348, No. 2, 393-414 (2011).
Summary: Linear repetitive processes (LRPs) are a distinct class of two-dimensional (2-D) systems, which have extensive applications in the practical industry, such as, long-wall coal cutting and metal rolling operations. This paper is concerned with the problem of mixed \(\mathcal H_2/\mathcal H_{\infty}\) filter design for discrete LRPs with its application to fault detection. Our attention is focused on the design of a fault-detection filter for generating a residual signal which can be processed to decide whether or not a fault has occurred in the process. A sufficient condition of the mixed \(\mathcal H_2/\mathcal H_{\infty}\) performance for the fault-detection process is proposed. The solvability condition for a desired fault-detection filter is also established, and the corresponding fault-detection filter design is cast into a convex optimization problem which can be efficiently handled by using the standard softwares. A numerical example is given to demonstrate the effectiveness of the proposed design procedures.

Cited in 24 Documents

MSC:

94A13 Detection theory in information and communication theory
93E10 Estimation and detection in stochastic control theory
93B36 \(H^\infty\)-control
93C95 Application models in control theory
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\textit{L. Wu} et al., J. Franklin Inst. 348, No. 2, 393--414 (2011; Zbl 1208.94032)
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References:

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