In this article, the asynchronous fault detection (FD) strategy is investigated in frequency domain for nonlinear Markov jump systems under fading channels. In order to estimate the system dynamics and meet the fact that not all the running modes can be observed exactly, a set of asynchronous FD filters is proposed. By using statistical methods and the Lynapunov stability theory, the augmented system is shown to be stochastic stable with a prescribed l2l_{2} gain even under fading transmissions. Then, a novel lemma is developed to capture the finite frequency performance. Some solvable conditions with less conservatism are subsequently deduced by exploiting novel decoupling techniques and additional slack variables. Besides, the FD filter gains could be calculated with the aid of the derived conditions. Finally, the effectiveness of the proposed method is shown by an illustrative example.

中文翻译：

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无线衰落信道下非线性马尔可夫跳跃系统的异步频率相关故障检测


在本文中，在频域中研究了衰落信道下非线性马尔可夫跳跃系统的异步故障检测（FD）策略。为了估计系统动力学并满足并非所有运行模式都能被精确观测的事实，提出了一组异步FD滤波器。通过使用统计方法和 Lynapunov 稳定性理论，即使在衰落传输下，增强系统也显示出随机稳定，具有规定的 l2l_{2} 增益。然后，开发了一个新颖的引理来捕获有限频率性能。随后通过利用新颖的解耦技术和额外的松弛变量推导出一些保守性较低的可解条件。此外，FD滤波器增益可以借助导出的条件来计算。最后，通过一个示例说明了所提方法的有效性。