| 奇异Markov跳跃系统的鲁棒故障检测 |
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| 引用本文： | 丁强,钟麦英.奇异Markov跳跃系统的鲁棒故障检测[J].系统仿真技术,2010,6(1):23-28. |
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| 作者姓名： | 丁强 钟麦英 |
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| 作者单位： | 1. 山东大学,控制科学与工程学院,山东,济南,250061
2. 北京航空航天大学,仪器科学与光电工程学院,北京,100191 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 研究受L2有界未知输入影响的一类奇异Markov跳跃系统的鲁棒故障检测问题。采用基于观测器的故障检测滤波器（FDF）作为残差产生器，将故障检测滤波器的设计归结为随机意义下的H∞滤波问题。推导并证明了问题可解的充分条件，并通过求解线性矩阵不等式得到了故障检测滤波器参数矩阵的解。算例验证了所给算法的有效性。
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| 关 键 词： | 奇异Markov跳跃系统 故障检测滤波器 线性矩阵不等式 |
Robust Fault Detection for Singular Markovian Jump Systems |
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| DING Qiang,ZHONG Maiying.Robust Fault Detection for Singular Markovian Jump Systems[J].System Simulation Technology,2010,6(1):23-28. |
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| Authors: | DING Qiang ZHONG Maiying |
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| Affiliation: | DING Qiang1,ZHONG Maiying2(1.School of Control Science , Engineering,Sh,ong University,Jinan 250061,China,2.School of Instrument Science , Opto-Electronics Engineering,Beihang University,Beijing 100191,China) |
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| Abstract: | This paper deals with the problem of robust fault detection for a class of singular Markovian jump systems with L2 norm bounded unknown input. Using an observer-based fault detection filter （FDF） as a residual generator, the design of robust FDF is formulated in the framework of stochastic H∞ filtering. Sufficient conditions on the existence of FDF and parameter matrices to the FDF are derived in terms of linear matrix inequalities（LMI）. A numerical example is given to illustrate the effectiveness of the proposed method |
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| Keywords: | singular Markovian jump systems fault detection filter linear matrix inequality |
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