Generalized H2 fault detection for two-dimensional Markovian jump systems
Generalized H2 fault detection for two-dimensional Markovian jump systems
复制标题
二维马尔可夫跳跃系统的广义 H2 故障检测
DOI：
10.1016/j.automatica.2012.05.024
复制
发表时间：
2012-08
期刊：
影响因子：
6.4
通讯作者：
Zheng, Wei Xing
中科院分区：
文献类型：
--
作者：
Wu, Ligang;Yao, Xiuming;Zheng, Wei Xing
研究了二维离散马尔可夫跳变系统的广义H2故障检测问题。该2-D系统的数学模型是建立在著名的Roesser模型，测量丢失的现象，这是典型的出现在网络环境中，由一个随机变量满足伯努利随机二进制分布建模。此外，假设马尔可夫跳过程的转移概率是部分可达的，即转移概率是部分已知的。我们的注意力集中在故障检测滤波器的设计，或残差生成系统，保证故障检测系统是均方渐近稳定，并具有规定的广义H2性能。所需的故障检测滤波器的存在的充分条件建立在线性矩阵不等式（LMI）。数值算例验证了该方法的有效性。
This paper is concerned with the generalized H2fault detection for two-dimensional (2-D) discrete-time Markovian jump systems. The mathematical model of the 2-D system is established upon the well-known Roesser model, and the measurement missing phenomenon, which appears typically in a network environment, is modeled by a stochastic variable satisfying the Bernoulli random binary distribution. In addition, the transition probabilities of the Markovian jump process are assumed to be partly accessed, that is, the transition probabilities are partly known. Our attention is focused on the design of a fault detection filter, or a residual generation system, which guarantees the fault detection system to be mean-square asymptotically stable and to have a prescribed generalized H2performance. Sufficient conditions for the existence of a desired fault detection filter are established in terms of linear matrix inequalities (LMIs). A numerical example is provided to illustrate the effectiveness of the proposed design method.
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影响因子：
5
作者：
W. Marszalek
通讯作者：
W. Marszalek
影响因子：
6.8
作者：
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通讯作者：
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影响因子：
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作者：
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通讯作者：
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DOI：
10.1109/tcsi.2002.804531
发表时间：
2002-12
影响因子：
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作者：
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通讯作者：
Shengyuan Xu;J. Lam;Zhiping Lin;K. Gałkowski
影响因子：
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作者：
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通讯作者：
R. Whalley