Delay_dependent H∞ stochastic stability analysis for stochastic nonlinear delay hybrid singular system with time delay
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- 英文论文题名：Delay_dependent H∞ stochastic stability analysis for stochastic nonlinear delay hybrid singular system with time delay
- 论文作者：Hongqian Lu ; Jinli Liu ; Xingping Liu
- 英文论文作者：Hongqian Lu ; Jinli Liu ; Xingping Liu ; School of Electrical Engineering and Automation ; Qilu University of Technology
- 年：2017
- 作者机构：School of Electrical Engineering and Automation,Qilu University of Technology;
- 英文论文关键词：Time-varying delay ; Singular system ; Markovian jumping parameters
- 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：5
- 文件大小：1786k
- 原文格式：D
- 会议级别：全国
摘要
In this paper, the problem of H∞ nonlinear stochastic stability analysis for a class singular systems with Markovian jumping parameters and time-varying delay is addressed. The discrete delay is assumed to be time-varying and belong to a given interval. Based on LMIs(linear matrix inequality) approach, a delay depended condition is proposed, which ensure the singular system is stochastically stable with H∞ performance. An examples is given to show the effectiveness of the proposed approach.
In this paper, the problem of H∞ nonlinear stochastic stability analysis for a class singular systems with Markovian jumping parameters and time-varying delay is addressed. The discrete delay is assumed to be time-varying and belong to a given interval. Based on LMIs(linear matrix inequality) approach, a delay depended condition is proposed, which ensure the singular system is stochastically stable with H∞ performance. An examples is given to show the effectiveness of the proposed approach.
In this paper, the problem of H∞ nonlinear stochastic stability analysis for a class singular systems with Markovian jumping parameters and time-varying delay is addressed. The discrete delay is assumed to be time-varying and belong to a given interval. Based on LMIs(linear matrix inequality) approach, a delay depended condition is proposed, which ensure the singular system is stochastically stable with H∞ performance. An examples is given to show the effectiveness of the proposed approach.
引文
[1].Lu,H.,et al.,Delay-dependent robust H control for uncertain singular time-delay system with Markovian jumping parameters.Optimal Control Applications&Methods,2013.34(3):p.296-307.
[2].Zhang,G.,Y.Xia and P.Shi,New bounded real lemma for discrete-time singular systems.Automatica,2008.44(3):p.886-890.
[3].Xu,S.and J.Lam,Reduced-order H filtering for singular systems.Systems&Control Letters,2007.56(1):p.48-57.
[4].Han,Y.,Y.Kao and C.Gao,Robust sliding mode control for uncertain discrete singular systems with time-varying delays and external disturbances.Automatica,2017.75:p.210-216.
[5].Frame,J.S.,Singular systems of differential equations.1980:Pitman Advanced Pub.Program.157-63.
[6].Zhou,Z.,M.Shayman and T.J.Tarn,Singular systems:A new approach in the time domain.IEEE Transactions on Automatic Control,1987.32(1):p.42-50.
[7].Zhang,Q.,et al.,Sliding mode control for singular stochastic Markovian jump systems with uncertainties.Automatica,2017.79:p.27-34.
[8].Lu,H.,et al.,Time-delay dependent H model simplification for singular systems with Markovian jumping parameters.Optimal Control Applications&Methods,2011.32(4):p.379 395.
[9].Yaginuma,K.,A Stochastic System with Infinite Interacting Components to Model the Time Evolution of the Membrane Potentials of a Population of Neurons.Journal of Statistical Physics,2016.163(3):p.642-658.
[10].Osaki,S.,Applied stochastic system modeling.Computers&Mathematics with Applications,1992.46(7):p.ix-xiv,987-1172.
[11].Ji,L.,et al.,Inexact stochastic risk-aversion optimal day-ahead dispatch model for electricity system management with wind power under uncertainty.Energy,2016.109:p.920-932.
[12].Tugnait,J.K.,Stochastic system identification with noisy input using cumulant statistics.IEEE Transactions on Automatic Control,1992.37(4):p.476-485.
[13].Tugnait,J.K and Y.Ye,Stochastic system identification with noisy input-outputmeasurements using polyspectra.IEEE Transactions on Automatic Control,1995.40(4):p.670-683.
[14].Gao,H.and C.Wang,Delay-dependent robust H and L 2-L filtering for a class of uncertain nonlinear time-delay systems.IEEE Transactions on Automatic Control,2003.48(9):p.1661-1666.
[15].Wang,Z.and D.W.C.Ho,Filtering on nonlinear time-delay stochastic systems.Automatica,2003.39(1):p.101-109.
[16].Zhang,Q.and L.Gao,Oscillation of Second-order Nonlinear Delay Dynamic Equations on Time Scales.Computers&Mathematics with Applications,2016.2011(4):p.599-609.
[17].Qiu,J.,et al.,ROBUST H filtering for a class of nonlinear uncertain singular systems with time-varying delay.Automatica,2013.44(1):p.157-166.
[18].Nguang,S.K.,Robust stabilization of a class of time-delay nonlinear systems.IEEE Transactions on Automatic Control,2000.45(4):p.756-762.
[19].Long,S.and S.Zhong,H control for a class of singular systems with state time-varying delay.Isa Transactions,2017.
[20].Chávez-Fuentes,J.R.,et al.,Regularity and stability analysis of discrete-time Markov jump linear singular systems.Automatica,2017.76:p.32-40.
[21].Boukas,E.K.,Stabilization of stochastic singular nonlinear hybrid systems.Nonlinear Analysis,2006.64(2):p.217-228.
[2].Zhang,G.,Y.Xia and P.Shi,New bounded real lemma for discrete-time singular systems.Automatica,2008.44(3):p.886-890.
[3].Xu,S.and J.Lam,Reduced-order H filtering for singular systems.Systems&Control Letters,2007.56(1):p.48-57.
[4].Han,Y.,Y.Kao and C.Gao,Robust sliding mode control for uncertain discrete singular systems with time-varying delays and external disturbances.Automatica,2017.75:p.210-216.
[5].Frame,J.S.,Singular systems of differential equations.1980:Pitman Advanced Pub.Program.157-63.
[6].Zhou,Z.,M.Shayman and T.J.Tarn,Singular systems:A new approach in the time domain.IEEE Transactions on Automatic Control,1987.32(1):p.42-50.
[7].Zhang,Q.,et al.,Sliding mode control for singular stochastic Markovian jump systems with uncertainties.Automatica,2017.79:p.27-34.
[8].Lu,H.,et al.,Time-delay dependent H model simplification for singular systems with Markovian jumping parameters.Optimal Control Applications&Methods,2011.32(4):p.379 395.
[9].Yaginuma,K.,A Stochastic System with Infinite Interacting Components to Model the Time Evolution of the Membrane Potentials of a Population of Neurons.Journal of Statistical Physics,2016.163(3):p.642-658.
[10].Osaki,S.,Applied stochastic system modeling.Computers&Mathematics with Applications,1992.46(7):p.ix-xiv,987-1172.
[11].Ji,L.,et al.,Inexact stochastic risk-aversion optimal day-ahead dispatch model for electricity system management with wind power under uncertainty.Energy,2016.109:p.920-932.
[12].Tugnait,J.K.,Stochastic system identification with noisy input using cumulant statistics.IEEE Transactions on Automatic Control,1992.37(4):p.476-485.
[13].Tugnait,J.K and Y.Ye,Stochastic system identification with noisy input-outputmeasurements using polyspectra.IEEE Transactions on Automatic Control,1995.40(4):p.670-683.
[14].Gao,H.and C.Wang,Delay-dependent robust H and L 2-L filtering for a class of uncertain nonlinear time-delay systems.IEEE Transactions on Automatic Control,2003.48(9):p.1661-1666.
[15].Wang,Z.and D.W.C.Ho,Filtering on nonlinear time-delay stochastic systems.Automatica,2003.39(1):p.101-109.
[16].Zhang,Q.and L.Gao,Oscillation of Second-order Nonlinear Delay Dynamic Equations on Time Scales.Computers&Mathematics with Applications,2016.2011(4):p.599-609.
[17].Qiu,J.,et al.,ROBUST H filtering for a class of nonlinear uncertain singular systems with time-varying delay.Automatica,2013.44(1):p.157-166.
[18].Nguang,S.K.,Robust stabilization of a class of time-delay nonlinear systems.IEEE Transactions on Automatic Control,2000.45(4):p.756-762.
[19].Long,S.and S.Zhong,H control for a class of singular systems with state time-varying delay.Isa Transactions,2017.
[20].Chávez-Fuentes,J.R.,et al.,Regularity and stability analysis of discrete-time Markov jump linear singular systems.Automatica,2017.76:p.32-40.
[21].Boukas,E.K.,Stabilization of stochastic singular nonlinear hybrid systems.Nonlinear Analysis,2006.64(2):p.217-228.