New Result for Synchronization of Chaotic Lur'e Systems with Time Delay Using Sampled-data Control
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- 英文论文题名：New Result for Synchronization of Chaotic Lur'e Systems with Time Delay Using Sampled-data Control
- 论文作者：SHANGGUAN Xingchen ; HE Yong ; ZHANG Chuanke ; WU Min
- 英文论文作者：SHANGGUAN Xingchen ; HE Yong ; ZHANG Chuanke ; WU Min ; School of Automation ; China University of Geosciences ; Hubei Key Laboratory of Advanced Control and Intelligent Automation for Complex Systems
- 年：2017
- 作者机构：School of Automation,China University of Geosciences;Hubei Key Laboratory of Advanced Control and Intelligent Automation for Complex Systems;
- 英文论文关键词：Chaotic Lur'e system ; Sampled-data control ; Synchronization ; Time delay ; Piecewise functional
- 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（A）
- 英文会议录名称：Proceedings of the 36th Chinese Control Conference（A）
- 语种：英文
- 分类号：O231;O415.5
- 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：536k
- 原文格式：D
- 会议级别：全国
摘要
This paper investigates synchronization problem of two identical chaotic Lur'e systems with time delay using sampleddata control. Firstly, a novel piecewise Lyapunov-Krasovskii function(LKF), which considers fully useful information of the systems and their cross terms, is introduced. Secondly, a new synchronization criterion is developed in terms of linear matrix inequalities(LMIs) by discarding the positive definite constraint of the piecewise LKF. Then, maximal sampling interval and corresponding controller are obtained. At last, case study based on a typical Chua's circuit is carried out to verify the effectiveness and advantages of the proposed method.
This paper investigates synchronization problem of two identical chaotic Lur'e systems with time delay using sampleddata control. Firstly, a novel piecewise Lyapunov-Krasovskii function(LKF), which considers fully useful information of the systems and their cross terms, is introduced. Secondly, a new synchronization criterion is developed in terms of linear matrix inequalities(LMIs) by discarding the positive definite constraint of the piecewise LKF. Then, maximal sampling interval and corresponding controller are obtained. At last, case study based on a typical Chua's circuit is carried out to verify the effectiveness and advantages of the proposed method.
This paper investigates synchronization problem of two identical chaotic Lur'e systems with time delay using sampleddata control. Firstly, a novel piecewise Lyapunov-Krasovskii function(LKF), which considers fully useful information of the systems and their cross terms, is introduced. Secondly, a new synchronization criterion is developed in terms of linear matrix inequalities(LMIs) by discarding the positive definite constraint of the piecewise LKF. Then, maximal sampling interval and corresponding controller are obtained. At last, case study based on a typical Chua's circuit is carried out to verify the effectiveness and advantages of the proposed method.
引文
[1]T.L.Carroll,L.M.Pecora,Synchronizing chaotic circuits,IEEE Transactions on Circuits Systems,38(1991)453-456.
[2]M.Boutayeb,M.Darouach,H.Rafaralahy,Generalized statespace observers for chaotic synchronization and secure communication,IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications,49(2002)345-349.
[3]G.Hu,Z.Feng,R.Meng,Chosen ciphertext attack on chaos communication based on chaotic synchronization,IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications,50(2003)257-279.
[4]K.Z.Li,M.C.Zhao,X.C.Fu,Projective synchronization of driving-response systems and its application to secure communication,IEEE Transactions on Circuits and Systems I Regular Papers,56(2009)2280-2291.
[5]X.M.Zhang,Q.L.Han,Global asymptotic stability for a class of generalized neural networks with interval timevarying delays,IEEE Transactions on Neural networks,22(2011)1180-1192.
[6]X.Liao,P.Yu,Absolute stability of nonlinear control systems,New York:Springer-Verlag,2008.
[7]D.Qi,M.Liu,M.Qiu,S.Zhang,Exponential H∞synchronization of general discrete-time chaotic neural networks with or without time delays,IEEE Transactions on Neural networks,21(2010)1358-1365.
[8]C.K.Zhang,Y.He,M.Wu,Exponential synchronization of neural networks with time-arying mixed delays and sampleddata,Neurocomputing,74(2010)265-273.
[9]X.M.Zhang,Q.L.Han,Global asymptotic stability analysis for delayed neural networks using a matrix quadratic convex approach,Neural Networks,54(2014)57-69.
[10]H.Shen,J.H.Park,Z.G.Wu,Finite-time H∞synchronization for complex networks with semi-Markov jump topology,Communications in Nonlinear Science and Numerical Simulation,24(2015)40-51.
[11]J.A.K.Suykens,P.F.Curran,L.O.Chua,Robust synthesis for master-slave synchronization of Lur’e Systems,IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications,46(1999)841-850.
[12]Y.He,M.Wu,G.P.Liu,J.H.She,Output feedback stabilization for a discrete-time system with a time-varying delay,IEEE Transactions on Automatic Control,53(2008)2372-2377.
[13]G.Zhang,Z.Liu,J.Zhang,Adaptive synchronization of a class of continuous chaotic systems with uncertain parameters,Physics Letters A,372(2008)447-450.
[14]G.Wen,Q.G.Wang,Y.He,Z.Ye,Multivariable PD controllerdesign for fast chaos synchronization of Lur’e systems,Physics Letters A,363(2007)192-196.
[15]E.Fridman,A.Seuret,J.P.Richard,Robust sampled-data stabilization of linear systems:An input delay approach,Automatica,40(2004)1441-1446.
[16]A.Seuret,A novel stability analysis of linear systems under asynchronous samplings,Automatica,48(2012)177-182.
[17]C.K.Zhang,L.Jiang,Y.He,Q.H.Wu,M.Wu,Stability analysis for control systems with aperiodically sampled data using an augmented Lyapunov functional method,IET Control Theory and Applications,7(2013)1219-1226.
[18]Z.G.Wu,P.Shi,H.Su,J.Chu,Sampled-data synchronization of chaotic Lur’e systems with time delays,IEEE Transactions on Neural Networks and Learning Systems,24(2013)410-421.
[19]C.Ge,W.W.Zhang,W.Li,X.C.Sun,Improved stability criteria for synchronization of chaotic Lur’e systems using sampled-data control,Neurocomputing,151(2014)215-222.
[20]H.B.Zeng,J.H.Park,S.P Xiao,Y.J.Liu,Further results on sampled-data control for master-slave synchronization of chaotic Lur’e systems with time delay,Nonlinear Dynamics,82(2015)851-863.
[21]C.C.Hua,C.Ge,X.P.Guan,Synchronization of chaotic Lur’e systems with time delays using sampled-data control,IEEE Transactions on Neural Networks and Learning Systems,26(2015)1214-1220.
[22]J.D.Cao,R.Sivasamy,R.Rakkiyappan,Sampled-data H∞synchronization of chaotic Lur’e systems with time delay,Circuits,Systems,and Signal Processing,35(2016)811-835.
[23]K.B.Shi,X.Liu,H.Zhu,S.Zhong,Y.Liu,C.Yin,Novel integral inequality approach on master-slave synchronization of chaotic delayed Lur’e systems with sampled-data feedback control,Nonlinear Dynamics,83(2016)1259-1274.
[24]X.C.Shang Guan,Y.He,W.J.Lin,M.Wu,Improved synchronization of chaotic Lur’e systems with time delay using sampled-data control,Journal of the Franklin Institute,354(2017):1618-1636.
[25]J.G.Lu,D.J.Hill,Global asymptotical synchronization of chaotic Lur’e systems using sampled data:a linear matrix inequality approach,IEEE Transactions on Circuits and Systems II Express Briefs,55(2008)586-590.
[26]C.K.Zhang,Y.He,M.Wu,Improved global asymptotical synchronization of chaotic Lur’e systems with sampled-data control,IEEE Transactions on Circuits and Systems II Express Briefs,56(2009)320-324.
[27]C.K.Zhang,L.Jiang,Y.He,Q.H.Wu,M.Wu,Asymptotical synchronization for chaotic Lur’e systems using sampled-data control,Communications in Nonlinear Science and Numerical Simulation,18(2013)2743-2751.
[28]X.L.Zhu,Y.Y.Wang,H.Y.Yang,New globally asymptotical synchronization of chaotic Lur’e systems using samled data,American Control Conference,32(2010)1817-1822.
[29]W.Chen,Z.Wang,X.Liu,On sampled-data control for master-slave synchronization of chaotic Lur’e systems,IEEE Transactions on Circuits and Systems II Express Briefs,59(2012)515-519.
[30]Z.G.Wu,P.Shi,H.Su,J.Chu,Exponential synchronization of neural networks with discrete and distributed delays under time-varying sampling,IEEE Transactions on Neural Networks and Learning Systems,23(2012)1368-1376.
[31]Z.G.Wu,P.Shi,H.Su,J.Chu,Stochastic synchronization of Markovian jump neural networks with time-varying delay using sampled data,IEEE Transactions on Cybernetics,43(2013)1796-1806.
[32]J.Xiong,J.Lam,Stabilization of networked control systems with a logic ZOH,IEEE Transactions on Automatic Control,54(2009)358-363.
[33]A.Seuret,F.Gouaisbaut,Wirtinger-based integral inequality:Application to time-delay systems,Automatica,49(2013)2860-2866.
[34]A.Seuret,A novel stability analysis of linear systems under asynchronous samplings,Automatica,48(2012)177-182.
[35]X.M.Zhang,Q.L.Han,New Lyapunov-Krasovskii functionals for global asymptotic stability of delayed neural networks,IEEE Transactions on Neural networks,20(2009)533-539.
[2]M.Boutayeb,M.Darouach,H.Rafaralahy,Generalized statespace observers for chaotic synchronization and secure communication,IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications,49(2002)345-349.
[3]G.Hu,Z.Feng,R.Meng,Chosen ciphertext attack on chaos communication based on chaotic synchronization,IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications,50(2003)257-279.
[4]K.Z.Li,M.C.Zhao,X.C.Fu,Projective synchronization of driving-response systems and its application to secure communication,IEEE Transactions on Circuits and Systems I Regular Papers,56(2009)2280-2291.
[5]X.M.Zhang,Q.L.Han,Global asymptotic stability for a class of generalized neural networks with interval timevarying delays,IEEE Transactions on Neural networks,22(2011)1180-1192.
[6]X.Liao,P.Yu,Absolute stability of nonlinear control systems,New York:Springer-Verlag,2008.
[7]D.Qi,M.Liu,M.Qiu,S.Zhang,Exponential H∞synchronization of general discrete-time chaotic neural networks with or without time delays,IEEE Transactions on Neural networks,21(2010)1358-1365.
[8]C.K.Zhang,Y.He,M.Wu,Exponential synchronization of neural networks with time-arying mixed delays and sampleddata,Neurocomputing,74(2010)265-273.
[9]X.M.Zhang,Q.L.Han,Global asymptotic stability analysis for delayed neural networks using a matrix quadratic convex approach,Neural Networks,54(2014)57-69.
[10]H.Shen,J.H.Park,Z.G.Wu,Finite-time H∞synchronization for complex networks with semi-Markov jump topology,Communications in Nonlinear Science and Numerical Simulation,24(2015)40-51.
[11]J.A.K.Suykens,P.F.Curran,L.O.Chua,Robust synthesis for master-slave synchronization of Lur’e Systems,IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications,46(1999)841-850.
[12]Y.He,M.Wu,G.P.Liu,J.H.She,Output feedback stabilization for a discrete-time system with a time-varying delay,IEEE Transactions on Automatic Control,53(2008)2372-2377.
[13]G.Zhang,Z.Liu,J.Zhang,Adaptive synchronization of a class of continuous chaotic systems with uncertain parameters,Physics Letters A,372(2008)447-450.
[14]G.Wen,Q.G.Wang,Y.He,Z.Ye,Multivariable PD controllerdesign for fast chaos synchronization of Lur’e systems,Physics Letters A,363(2007)192-196.
[15]E.Fridman,A.Seuret,J.P.Richard,Robust sampled-data stabilization of linear systems:An input delay approach,Automatica,40(2004)1441-1446.
[16]A.Seuret,A novel stability analysis of linear systems under asynchronous samplings,Automatica,48(2012)177-182.
[17]C.K.Zhang,L.Jiang,Y.He,Q.H.Wu,M.Wu,Stability analysis for control systems with aperiodically sampled data using an augmented Lyapunov functional method,IET Control Theory and Applications,7(2013)1219-1226.
[18]Z.G.Wu,P.Shi,H.Su,J.Chu,Sampled-data synchronization of chaotic Lur’e systems with time delays,IEEE Transactions on Neural Networks and Learning Systems,24(2013)410-421.
[19]C.Ge,W.W.Zhang,W.Li,X.C.Sun,Improved stability criteria for synchronization of chaotic Lur’e systems using sampled-data control,Neurocomputing,151(2014)215-222.
[20]H.B.Zeng,J.H.Park,S.P Xiao,Y.J.Liu,Further results on sampled-data control for master-slave synchronization of chaotic Lur’e systems with time delay,Nonlinear Dynamics,82(2015)851-863.
[21]C.C.Hua,C.Ge,X.P.Guan,Synchronization of chaotic Lur’e systems with time delays using sampled-data control,IEEE Transactions on Neural Networks and Learning Systems,26(2015)1214-1220.
[22]J.D.Cao,R.Sivasamy,R.Rakkiyappan,Sampled-data H∞synchronization of chaotic Lur’e systems with time delay,Circuits,Systems,and Signal Processing,35(2016)811-835.
[23]K.B.Shi,X.Liu,H.Zhu,S.Zhong,Y.Liu,C.Yin,Novel integral inequality approach on master-slave synchronization of chaotic delayed Lur’e systems with sampled-data feedback control,Nonlinear Dynamics,83(2016)1259-1274.
[24]X.C.Shang Guan,Y.He,W.J.Lin,M.Wu,Improved synchronization of chaotic Lur’e systems with time delay using sampled-data control,Journal of the Franklin Institute,354(2017):1618-1636.
[25]J.G.Lu,D.J.Hill,Global asymptotical synchronization of chaotic Lur’e systems using sampled data:a linear matrix inequality approach,IEEE Transactions on Circuits and Systems II Express Briefs,55(2008)586-590.
[26]C.K.Zhang,Y.He,M.Wu,Improved global asymptotical synchronization of chaotic Lur’e systems with sampled-data control,IEEE Transactions on Circuits and Systems II Express Briefs,56(2009)320-324.
[27]C.K.Zhang,L.Jiang,Y.He,Q.H.Wu,M.Wu,Asymptotical synchronization for chaotic Lur’e systems using sampled-data control,Communications in Nonlinear Science and Numerical Simulation,18(2013)2743-2751.
[28]X.L.Zhu,Y.Y.Wang,H.Y.Yang,New globally asymptotical synchronization of chaotic Lur’e systems using samled data,American Control Conference,32(2010)1817-1822.
[29]W.Chen,Z.Wang,X.Liu,On sampled-data control for master-slave synchronization of chaotic Lur’e systems,IEEE Transactions on Circuits and Systems II Express Briefs,59(2012)515-519.
[30]Z.G.Wu,P.Shi,H.Su,J.Chu,Exponential synchronization of neural networks with discrete and distributed delays under time-varying sampling,IEEE Transactions on Neural Networks and Learning Systems,23(2012)1368-1376.
[31]Z.G.Wu,P.Shi,H.Su,J.Chu,Stochastic synchronization of Markovian jump neural networks with time-varying delay using sampled data,IEEE Transactions on Cybernetics,43(2013)1796-1806.
[32]J.Xiong,J.Lam,Stabilization of networked control systems with a logic ZOH,IEEE Transactions on Automatic Control,54(2009)358-363.
[33]A.Seuret,F.Gouaisbaut,Wirtinger-based integral inequality:Application to time-delay systems,Automatica,49(2013)2860-2866.
[34]A.Seuret,A novel stability analysis of linear systems under asynchronous samplings,Automatica,48(2012)177-182.
[35]X.M.Zhang,Q.L.Han,New Lyapunov-Krasovskii functionals for global asymptotic stability of delayed neural networks,IEEE Transactions on Neural networks,20(2009)533-539.
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