Robust Fault Detection of Nonlinear Singular Markov Jump Systems with Partially Unknown Information
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- 英文论文题名：Robust Fault Detection of Nonlinear Singular Markov Jump Systems with Partially Unknown Information
- 论文作者：Jiangbin SHI ; Yanyan YIN ; Yanqing LIU ; Fei LIU
- 英文论文作者：Jiangbin SHI ; Yanyan YIN ; Yanqing LIU ; Fei LIU ; Institute of Automation ; Jiangnan University ; Key Laboratory of Advanced Process Control for Light Industry ; Department of Mathematics and Statistics ; Curtin University
- 年：2017
- 作者机构：Institute of Automation,Jiangnan University,Key Laboratory of Advanced Process Control for Light Industry;Department of Mathematics and Statistics,Curtin University;
- 英文论文关键词：robust fault detection ; nonlinear singular Markovian jump systems(NSMJSs) ; partly unknown transition probabilities ; T-S fuzzy
- 会议召开时间：2017-07-26
- 会议录名称：第36届中国控制会议论文集（B）
- 英文会议录名称：Proceedings of the 36th Chinese Control Conference（B）
- 语种：英文
- 分类号：O231
- 学会代码：KZLL
- 会议名称：第36届中国控制会议
- 会议地点：中国辽宁大连
- 主办单位：中国自动化学会控制理论专业委员会
- 学会名称：中国自动化学会控制理论专业委员会
- 页数：6
- 文件大小：1109k
- 原文格式：D
- 会议级别：全国
摘要
The problem of robust fault detection(RFD) for nonlinear singular Markovian jump systems(NSMJLSs) with partly unknown transition probabilities is investigated in the paper. The RFD observer(RFDO) system and the dynamics of error generator are constructed. By Lyapunov function approach, the proposed method reduces the conservatism compared with the existing ones. Moreover, the H_∞ performance index is proposed to minimize the influence of the unknown disturbances. Sufficient conditions on the existence of RFDO are established and given in terms of linear matrix inequalities(LMIs). Finally, a simulation example is given to illustrate that the proposed RFDO can detect the faults correctly and shortly after the occurrence.
The problem of robust fault detection(RFD) for nonlinear singular Markovian jump systems(NSMJLSs) with partly unknown transition probabilities is investigated in the paper. The RFD observer(RFDO) system and the dynamics of error generator are constructed. By Lyapunov function approach, the proposed method reduces the conservatism compared with the existing ones. Moreover, the H_∞ performance index is proposed to minimize the influence of the unknown disturbances. Sufficient conditions on the existence of RFDO are established and given in terms of linear matrix inequalities(LMIs). Finally, a simulation example is given to illustrate that the proposed RFDO can detect the faults correctly and shortly after the occurrence.
The problem of robust fault detection(RFD) for nonlinear singular Markovian jump systems(NSMJLSs) with partly unknown transition probabilities is investigated in the paper. The RFD observer(RFDO) system and the dynamics of error generator are constructed. By Lyapunov function approach, the proposed method reduces the conservatism compared with the existing ones. Moreover, the H_∞ performance index is proposed to minimize the influence of the unknown disturbances. Sufficient conditions on the existence of RFDO are established and given in terms of linear matrix inequalities(LMIs). Finally, a simulation example is given to illustrate that the proposed RFDO can detect the faults correctly and shortly after the occurrence.
引文
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[3]M.Zhong,S.X.Ding,J.Lam,and B.Wang,An LMI approach to design robust fault detection filter for uncertain LTI systems,Automatica,39:543–550,2003.
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[5]E.K.Boukas,P.Shi,and S.K.Nguang,Robust control for linear Markovian jump systems with unknown nonlinearities,Journal of Mathematical Analysis and Applications,282:241–255,2003.
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[9]Y.Yin,P.Shi,F.Liu,K.L.Teo,and C.C.Lim,Robust Filtering for Nonlinear Nonhomogeneous Markov Jump Systems by Fuzzy Approximation Approach,IEEE Transactions on Cybernetics,IEEE Transactions on Cybernetics,45:1706–1716,2015.
[10]W.N.Zhou,and J.A.Fang,Delay-dependent robust Hf admissibility and stabilization for uncertain singular system with markovian jumping parameters,Circuits,Systems and Signal Processing,28(3):433-450,2009.
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[13]S.Long,S.Zhong,and Z.Liu,Robust stochastic stability for a class of singular systems with uncertain markovian jump and time-varying delay,Asian Journal of Control,15:1102-1111,2013.
[14]G.Wang,Q.Zhang,and C.Yang,Dissipative control for singular Markovian jump systems with time delay,Optimal Control Applications and Methods,33:415-432,2012.
[2]J.Wang,G.Yang,and J.Liu,An LMI approach to Hindex and mixed HHf fault detection observer design,Automatica,43:1656–1665,2007.
[3]M.Zhong,S.X.Ding,J.Lam,and B.Wang,An LMI approach to design robust fault detection filter for uncertain LTI systems,Automatica,39:543–550,2003.
[4]S.P.He,and F.Liu,Fault detection for a class of Markovian jump systems with unknown disturbances,Journal of Xi’an Jiaotong University,41(4):458-462,2007.
[5]E.K.Boukas,P.Shi,and S.K.Nguang,Robust control for linear Markovian jump systems with unknown nonlinearities,Journal of Mathematical Analysis and Applications,282:241–255,2003.
[6]M.Y.Zhong,L.James,and X.D.Steven,Robust fault detection of Markovian jump systems,Circuits Systems and Signal Processing,23:387–407,2004.
[7]T.Takagi,and M.Sugeno,Fuzzy identification of systems and its applicatio ns to modeling and control,IEEE Transactions on Fuzzy Systems,Man and Cybernetics,15(1):116-132,1985.
[8]K.Tanaka,and M.Sugeno,Stability analysis and design of fuzzy systems,Fuzzy Sets and Systems,45:135–151,1992.
[9]Y.Yin,P.Shi,F.Liu,K.L.Teo,and C.C.Lim,Robust Filtering for Nonlinear Nonhomogeneous Markov Jump Systems by Fuzzy Approximation Approach,IEEE Transactions on Cybernetics,IEEE Transactions on Cybernetics,45:1706–1716,2015.
[10]W.N.Zhou,and J.A.Fang,Delay-dependent robust Hf admissibility and stabilization for uncertain singular system with markovian jumping parameters,Circuits,Systems and Signal Processing,28(3):433-450,2009.
[11]J.Zhang,Y.Xia,and E.K.Boukas,New approach to Hf control for Markovian jump singular systems,IET Control Theory&Applications,4:2273-2284,2010.
[12]S.Xu,and J.Lam,Control and filtering of singular systems,Berlin:Springer,2006.
[13]S.Long,S.Zhong,and Z.Liu,Robust stochastic stability for a class of singular systems with uncertain markovian jump and time-varying delay,Asian Journal of Control,15:1102-1111,2013.
[14]G.Wang,Q.Zhang,and C.Yang,Dissipative control for singular Markovian jump systems with time delay,Optimal Control Applications and Methods,33:415-432,2012.