Fault detection for discrete-time Markov jump linear systems with partially known transition probabilities
Fault detection for discrete-time Markov jump linear systems with partially known transition probabilities
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DOI：
10.1080/00207179.2010.481023
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发表时间：
2008-12
期刊：
影响因子：
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通讯作者：
Lixian Zhang;E. Boukas;L. Baron;H. Karimi
中科院分区：
文献类型：
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作者：
Lixian Zhang;E. Boukas;L. Baron;H. Karimi
研究了一类转移概率部分已知的离散马尔可夫跳变线性系统的故障检测问题。所提出的系统是更一般的，这放松了传统的假设，在马尔可夫跳系统的所有转移概率必须是完全已知的。构造了一个残差发生器，并将相应的故障检测与隔离（FDI）问题转化为H <$滤波问题，使残差与故障之间的误差在H <$意义下最小化。基于线性矩阵不等式，给出了FDI滤波器存在的充分条件。最后给出了一个数值例子来说明所发展的理论结果的有效性和潜力。
In this paper, the fault detection problem for a class of discrete-time Markov jump linear system (MJLS) with partially known transition probabilities is investigated. The proposed class of systems is more general, which relaxes the traditional assumption in Markov jump systems that all the transition probabilities must be completely known. A residual generator is constructed and the corresponding fault detection and isolation (FDI) problem is formulated as an H¿ filtering problem by which the error between residual and fault are minimized in the H¿ sense. The LMI-based sufficient conditions for the existence of FDI filter are derived. A numerical example is given to illustrate the effectiveness and potential of the developed theoretical results.