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Fault Detection for Discrete-Time Switched Systems in Finite-Frequency Domain

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Abstract

This paper is concerned with the fault detection (FD) problem for a class of linear discrete-time switched systems in finite-frequency domain. The fault detection filters (FDFs) with switching mechanism are utilized to generate residual to detect fault. Different from the existing FD schemes based on the arbitrary switching or average dwell time switching method, a novel scheme is presented, where the states of the FDFs are used to construct not only the residual but also the switching law. This guarantees that the overall switched system is asymptotically stable and with the fault sensitive performance and disturbance attenuation performance in the low-, middle-, and high-frequency domain, respectively. A solution of the considered problem is given via linear matrix inequalities. Finally, a numerical example is presented to show the advantage of the proposed method.

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Acknowledgments

This work was supported in part by the Funds of National Science of China (Grant numbers 61420106016, 60974043, 61273148, 61273155, 61104015), the funds for the Author of National Excellent Doctoral Dissertation of Peoples Republic of China (Grant number 201157), the Fundamental Research Funds for the Central Universities (Numbers N120504004, N110804001, N110404022), and State Key Laboratory of Synthetical Automation for Process Industries Fundamental Research Funds Grant 2013ZCX01.

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Authors and Affiliations

  1. College of Information Science and Engineering, Northeastern University, Shenyang, 110819, China

    Guang-Xin Zhong & Guang-Hong Yang

  2. State Key Laboratory of Synthetical Automation of Process Industries, Northeastern University, Shenyang, 110819, China

    Guang-Hong Yang

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  1. Guang-Xin Zhong
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  2. Guang-Hong Yang
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Correspondence to Guang-Hong Yang.

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Zhong, GX., Yang, GH. Fault Detection for Discrete-Time Switched Systems in Finite-Frequency Domain. Circuits Syst Signal Process 34, 1305–1324 (2015). https://doi.org/10.1007/s00034-014-9894-2

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  • DOI: https://doi.org/10.1007/s00034-014-9894-2

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