Finite-Frequency Fault Detection for Two-Dimensional Roesser Systems

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Abstract

This paper focuses on the fault detection problem of 2-D systems described by the Roesser model. To detect faults effectively in the presence of disturbances, a fault detection filter is designed to satisfy a finite-frequency H-index and a finite-frequency H∞ index simultaneously. The corresponding finite-frequency performance analysis conditions are obtained by the aid of the generalized Kalman-Yakubovich-Popov lemma. Then, convex filter design conditions are derived by constructing a hyperplane tangent combined with linear matrix inequality techniques. An algorithm is proposed to construct a desired fault detection filter. Finally, a numerical example is given to show the effectiveness of the proposed method.

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DIng, D. W., Li, X. J., Ren, Y., & Qiu, F. (2016). Finite-Frequency Fault Detection for Two-Dimensional Roesser Systems. IEEE Access, 4, 5818–5825. https://doi.org/10.1109/ACCESS.2016.2606423

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