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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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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DOI: https://doi.org/10.1007/s00034-019-01327-3