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Fault Detection of Markov Jumping Linear Systems

机译：马尔可夫跳跃线性系统的故障检测

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摘要

In this paper, the fault detection (FD) problems of discrete-time Markov jumping linear systems (MJLSs) are studied. We first focus on the stationary MJLS. The proposed FD system consists of two steps: residual generation and residual evaluation. A new reference model strategy is applied to construct a residual generator, such that it is robust against disturbances and sensitive to system faults. The generated residual signals are then evaluated according to their stochastic properties, and a threshold is computed for detecting the occurrences of faults. The upper bound of the corresponding false alarm rate (FAR) is also given. For the nonstationary MJLS, similar results are also obtained. All the solutions are presented in the form of linear matrix inequalities (LMIs). Finally, a numerical example is used to illustrate the results.
机译：本文研究了离散时间马尔可夫跳跃线性系统（MJLSs）的故障检测（FD）问题。我们首先关注固定MJLS。提议的FD系统包括两个步骤：残差生成和残差评估。应用了一种新的参考模型策略来构造残差生成器，以使其对干扰具有鲁棒性并且对系统故障敏感。然后根据所产生的残余信号的随机特性对其进行评估，并计算一个阈值以检测故障的发生。还给出了相应的误报率（FAR）的上限。对于非平稳MJLS，也可以获得类似的结果。所有解决方案均以线性矩阵不等式（LMI）的形式给出。最后，通过一个数值例子来说明结果。

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  • 来源
    《Mathematical Problems in Engineering》 |2012年第5期|p.19.1-19.27|共27页
  • 作者

    Wei Li; Fan Jiang; Zhongqiu Wang; Gongbo Zhou; Zhencai Zhu;

  • 作者单位

    School of Mechatronic Engineering, China University of Mining and Technology, Xuzhou 221116, China;

    School of Mechatronic Engineering, China University of Mining and Technology, Xuzhou 221116, China;

    School of Mechatronic Engineering, China University of Mining and Technology, Xuzhou 221116, China;

    School of Mechatronic Engineering, China University of Mining and Technology, Xuzhou 221116, China;

    School of Mechatronic Engineering, China University of Mining and Technology, Xuzhou 221116, China;

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