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 $$H_\infty $$ H ∞ 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.

中文翻译：

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具有时变延迟的非线性不确定马尔可夫跳跃系统的鲁棒故障检测的事件触发方法

本文研究了事件触发协议下受时变延迟、Lipschitz非线性和参数不确定性影响的非线性不确定马尔可夫跳跃系统的鲁棒故障检测问题。引入事件触发机制来调整发送到远程模块的数据的传输频率。提出了一种基于事件的故障检测方法，以保证残差对故障的敏感性和干扰对残差影响的衰减。这样，通过验证$$H_\infty $$H ∞ 过滤问题的可行性，可以解决所考虑的故障检测问题。通过构造依赖于模态的 Lyapunov 泛函，根据线性矩阵不等式技术推导出新的充分准则，这确保了所寻址 MJS 具有规定性能的随机稳定性。最后，利用一个数值例子，展示了新提出的基于事件的故障检测方法的有效性。