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An Event-Triggered Approach to Robust Fault Detection for Nonlinear Uncertain Markovian Jump Systems with Time-Varying Delays

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Abstract

In this paper, the problem of robust fault detection is investigated for nonlinear uncertain Markovian jump systems subject to time-varying delays, Lipschitz nonlinearities and parameter uncertainties under the event-triggered protocol. The event-triggered mechanism is introduced to adjust the transmission frequency of the data sent to the remote module. An event-based fault detection method is presented to guarantee the sensitivity of residual to fault and the attenuation of the effect from the disturbance on the residual. In this way, the considered fault detection problem is solvable by testifying the feasibility of \(H_\infty \) filtering problem. By constructing the mode-dependent Lyapunov functional, new sufficient criteria are derived in terms of the linear matrix inequality technique, which insures the stochastic stability with prescribed performance for addressed MJSs. In the end, a numerical example is exploited and the validity of newly presented event-based fault detection method is shown.

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Authors and Affiliations

  1. School of Science, Harbin University of Science and Technology, Harbin, 150080, China

    Shiyu Song, Jun Hu, Dongyan Chen & Zhihui Wu

  2. Heilongjiang Provincial Key Laboratory of Optimization Control and Intelligent Analysis for Complex Systems, Harbin University of Science and Technology, Harbin, 150080, China

    Shiyu Song, Dongyan Chen & Zhihui Wu

  3. School of Engineering, University of South Wales, Pontypridd, CF37 1DL, UK

    Jun Hu

  4. The Higher Educational Key Laboratory for Measuring and Control Technology and Instrumentations of Heilongjiang Province, Harbin University of Science and Technology, Harbin, 150080, China

    Weilu Chen

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  1. Shiyu Song
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  2. Jun Hu
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Correspondence to Jun Hu.

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This work was supported in part by the National Natural Science Foundation of China under Grant 61673141, the Outstanding Youth Science Foundation of Heilongjiang Province of China under Grant JC2018001, the European Regional Development Fund and Sêr Cymru Fellowship under Grant 80761-USW-059, the Fok Ying Tung Education Foundation of China under Grant 151004 and the Alexander von Humboldt Foundation of Germany.

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Song, S., Hu, J., Chen, D. et al. An Event-Triggered Approach to Robust Fault Detection for Nonlinear Uncertain Markovian Jump Systems with Time-Varying Delays. Circuits Syst Signal Process 39, 3445–3469 (2020). https://doi.org/10.1007/s00034-019-01327-3

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