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Simultaneous Finite-Time Control and Fault Detection for Singular Markovian Jump Delay Systems with Average Dwell Time Constraint

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Abstract

Finite-time control and fault detection are treated simultaneously as a single problem for a class of continuous-time singular Markovian jump delay systems. To develop the objectives for both control and detection, mode-dependent fault detection filters and dynamic feedback controllers were designed for a certain set of performance indices. Based on the average dwell time approach and using some novel integral inequalities, new sufficient conditions for the presence of a fault detection/controller unit are presented as a set of linear matrix inequalities. This problem is formulated as a finite-time \(H_\infty \) optimization problem, and both the stochastic finite-time stability and fault detection filter are analyzed, employing a switching control approach. Finally, a numerical example is provided to illustrate the effectiveness of the proposed method.

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Acknowledgements

This paper is supported by the China Scholarship Council (201608455012). All authors thank the editors and the anonymous referees for their constructive comments and valuable suggestions, which were helpful in improving the quality of this paper.

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Authors and Affiliations

  1. College of Science, Guilin University of Technology, Guilin, 541004, Guangxi, People’s Republic of China

    Mengzhuo Luo

  2. School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 611731, Sichuan, People’s Republic of China

    Shouming Zhong

  3. School of Science, Hubei University for Nationalities, Enshi, 445000, Hubei, People’s Republic of China

    Jun Cheng

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  1. Mengzhuo Luo
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  2. Shouming Zhong
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  3. Jun Cheng
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Correspondence to Mengzhuo Luo.

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All the authors declare that there is no conflict of interest regarding the publication of this paper.

Additional information

This work was supported in part by the National Natural Science Foundation of China under Grants 11661028, 11661030, and 11502057, the Natural Science Foundation of Guangxi under Grants 2015GXNSFBA139005, and 2014GXNSFBA118023.

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Luo, M., Zhong, S. & Cheng, J. Simultaneous Finite-Time Control and Fault Detection for Singular Markovian Jump Delay Systems with Average Dwell Time Constraint. Circuits Syst Signal Process 37, 5279–5310 (2018). https://doi.org/10.1007/s00034-018-0831-7

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  • DOI: https://doi.org/10.1007/s00034-018-0831-7

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