Two kinds of synchronization for hyperchaotic system as well as its applications
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- 英文论文题名：Two kinds of synchronization for hyperchaotic system as well as its applications
- 论文作者：Lixia Liu ; Rongwei Guo ; Lan Xiang ; Jin Zhou
- 英文论文作者：Lixia Liu ; Rongwei Guo ; Lan Xiang ; Jin Zhou ; Shanghai Institute of Applied Math & Mech ; Shanghai University ; School of Science ; Qilu University of Technology ; Department of Physics ; School of Science ; Shanghai University
- 年：2017
- 作者机构：Shanghai Institute of Applied Math & Mech,Shanghai University;School of Science,Qilu University of Technology;Department of Physics,School of Science,Shanghai University;
- 英文论文关键词：hyperchaotic system ; coexistence ; anti-synchronization ; synchronization
- 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：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：5
- 文件大小：205k
- 原文格式：D
- 会议级别：全国
摘要
This paper is mainly concerned with the issues of two kinds of synchronization for a class of hyperchaotic systems,i.e., complete synchronization, and coexistence of synchronization and anti-synchronization. Two adaptive control laws with suitable state feedbacks are designed to realize the complete synchronization, and coexistence of synchronization and antisynchronization for such hyperchaotic systems, and simple yet generic criteria for determining two issues of synchronization are derived throughout our analysis procedures, respectively. It is demonstrated that the approaches developed here further extend the ideas and techniques presented in existing literature, and so they are also convenient to implement in practice. Furthermore,an application toward a secure communication scheme based on coupled hyperchaotic systems is presented. Finally, numerical simulations are given to demonstrate the correctness and the effectiveness of the theoretical results.
This paper is mainly concerned with the issues of two kinds of synchronization for a class of hyperchaotic systems,i.e., complete synchronization, and coexistence of synchronization and anti-synchronization. Two adaptive control laws with suitable state feedbacks are designed to realize the complete synchronization, and coexistence of synchronization and antisynchronization for such hyperchaotic systems, and simple yet generic criteria for determining two issues of synchronization are derived throughout our analysis procedures, respectively. It is demonstrated that the approaches developed here further extend the ideas and techniques presented in existing literature, and so they are also convenient to implement in practice. Furthermore,an application toward a secure communication scheme based on coupled hyperchaotic systems is presented. Finally, numerical simulations are given to demonstrate the correctness and the effectiveness of the theoretical results.
This paper is mainly concerned with the issues of two kinds of synchronization for a class of hyperchaotic systems,i.e., complete synchronization, and coexistence of synchronization and anti-synchronization. Two adaptive control laws with suitable state feedbacks are designed to realize the complete synchronization, and coexistence of synchronization and antisynchronization for such hyperchaotic systems, and simple yet generic criteria for determining two issues of synchronization are derived throughout our analysis procedures, respectively. It is demonstrated that the approaches developed here further extend the ideas and techniques presented in existing literature, and so they are also convenient to implement in practice. Furthermore,an application toward a secure communication scheme based on coupled hyperchaotic systems is presented. Finally, numerical simulations are given to demonstrate the correctness and the effectiveness of the theoretical results.
引文
[1]L.M.Pecora and T.L.Carroll,Synchronization in Chaotic Systems.Physical Review Letters,64(8):821-824,1990.
[2]D.Auerbach,C.Grebogi,E.Ott,and J.A.Yorke,Controlling chaos in high-dimensional systems.Physical Review Letters,69(24):3479-3482,1992.
[3]J.Sieber,O.E.Omel’Chenko,and M.Wolfrum.Controlling unstable chaos:stabilizing chimera states by feedback.Physical Review Letters,112(5),2014.
[4]Z.Q.Zhang,S.Y.Xu,and B.Y.Zhang,Asymptotic tracking control of uncertain nonlinear sysytems with unknown actuator nonlinearity.IEEE Transactions on Automatic Control,59(5):1336-1341,2014.
[5]Z.Q.Zhang,S.Y.Xu,and B.Y.Zhang,Extract tracting control of nonlinear systems with time delays and dead-zone input.Automatica,52:272-276,2015.
[6]Z.Q.Zhang,S.Y.Xu,Observer design for uncertain nonlinear systems with unmodeled dynamics.Automatica,51:80-84,2015.
[7]Z.Zhang and X.J.Xie.Asymptotic tracking control of uncertain nonlinear systems with unknown actuator nonlinearity and unknown gains signs.International Journal of control,87(11):2294-2311,2014.
[8]S.Boccaletti,J.Kurths,G.Osipov and D.Valladares.The synchronization of chaotic systems.Physics Reports,366:1-101,2002.
[9]S.Bowong.Stability analysis for the synchronization of chaotic systems with different oder:application to secure communications.Physical Letter A,326:102-113,2004.
[10]D.Huang,Simple adaptive-feedback controller for identical chaos synchronization.Physical Review E,71:037203,2005.
[11]R.Guo and G.Li.Modification for collection of master Cslave synchronized chaotic systems.Chaos Solitons&Fractals,40(1):453-457,2009.
[12]R.Guo.A simple adaptive controller for chaos and hyperchaos synchronization.Physical Letter A,372(34):5593-5597,2008.
[13]G.Wang.Stabilitization and synchronization of Genesio CTesi system via single variale feedback controller.Physical Letter A,374(28):2831-2834,2010.
[14]Y.Zhang and J.Sun.Chaotic synchronzation and antisynchronization based on suitable separation.Physical Letter A,330(6):442-447,2004.
[15]J.Hu,S.Chen and L.Chen.Adaptive control for antisynchronization of chua’s chaostic sysytem.Physical Letter A,339(6):455-460,2005.
[16]S.Hammami,M.Benrejeba,M.Fekib and Borne P.Feedback control design for Russler and Chen chaotic systems antisynchronization.Physical Letter A,374(28):2835-2840,2010.
[17]M.Mossa Al-sawalhaa,M Noorani and M.Al-dlala.Adaptive anti-synchronization of chaotic systems with fully unkonwn parameters.Computers&Mathematics with Applications,59(10):3234-3244,2010.
[18]H.Y.Li,Y.A.Hu,Robust sliding-mode backstepping design for synchronization control of cross-strict feedback hyperchaotic systems with unmatched uncertainties.Commun.nonlinear Sci Numer.Simul.,16:3904-3913,2011.
[19]D.Y.Chen,W.L.Zhao,X.Y.Ma,No-chattering sliding mode control chaos in Hindmarsh-rose neurons with uncertain parameters.Comput.Math.Appl.,61:3161-3171,2011.
[20]M.T.Yessen,Controlling chaos and synchronization for new chaotic systems using feedback control.Chaos Solitons Fractal,26:913-920,2005.
[21]B.B.Sharma,I.N.Kar,Observer based synchronization scheme for a class of chaotic systems using contracton theory.nonlinear Dyn.,63:429-445,2011.
[22]U.E.Vicent,A.Ucar,J.A.Laoyea.Control and synchronization of chaos in RCL-shunted Josephson junction using backstepping design.Physica C,468:374-382,2008.
[23]J.Wen,C.S.JIang.Adaptive fuzzy control for a class of chaotic systems with nonaffine inputs.Commun.Nonlinear Sci.Numer.Simul,16:475-492,2011.
[24]y.s.Huang,M.Wu,Robust decentralized direct adaptive output feedback fuzzy control for a class of large-scale nonaffine nonlinear systems.Inf.Sci,181:2392-2404,2011.
[25]L.Wu,S.Zhu.Coexistence and switching of anticipating sychronization and lag synchronization in an optical system.Physical Letters,Section A:General,Automic and Solid State Physics,315:101-108,2003.
[26]L.Ren,R.W.Guo.Synchronization and synchronization for a class of chaotic systems by a simple adaptive controller.mathematical problems in engineering,434651:1-7,2015.
[27]Y,Y,L.Zhang.Nonlinear synchronization of new hyperchaotic system.Future Computer and Control System,2:409-413,2012.
[28]M.M.Elkholy,H.M.EL Hennawy.Real time implementation of secure communication system based on synchronization of hyper chaotic systems.in Proceedings of 33rd national radio science conference,2016:159-167.
[2]D.Auerbach,C.Grebogi,E.Ott,and J.A.Yorke,Controlling chaos in high-dimensional systems.Physical Review Letters,69(24):3479-3482,1992.
[3]J.Sieber,O.E.Omel’Chenko,and M.Wolfrum.Controlling unstable chaos:stabilizing chimera states by feedback.Physical Review Letters,112(5),2014.
[4]Z.Q.Zhang,S.Y.Xu,and B.Y.Zhang,Asymptotic tracking control of uncertain nonlinear sysytems with unknown actuator nonlinearity.IEEE Transactions on Automatic Control,59(5):1336-1341,2014.
[5]Z.Q.Zhang,S.Y.Xu,and B.Y.Zhang,Extract tracting control of nonlinear systems with time delays and dead-zone input.Automatica,52:272-276,2015.
[6]Z.Q.Zhang,S.Y.Xu,Observer design for uncertain nonlinear systems with unmodeled dynamics.Automatica,51:80-84,2015.
[7]Z.Zhang and X.J.Xie.Asymptotic tracking control of uncertain nonlinear systems with unknown actuator nonlinearity and unknown gains signs.International Journal of control,87(11):2294-2311,2014.
[8]S.Boccaletti,J.Kurths,G.Osipov and D.Valladares.The synchronization of chaotic systems.Physics Reports,366:1-101,2002.
[9]S.Bowong.Stability analysis for the synchronization of chaotic systems with different oder:application to secure communications.Physical Letter A,326:102-113,2004.
[10]D.Huang,Simple adaptive-feedback controller for identical chaos synchronization.Physical Review E,71:037203,2005.
[11]R.Guo and G.Li.Modification for collection of master Cslave synchronized chaotic systems.Chaos Solitons&Fractals,40(1):453-457,2009.
[12]R.Guo.A simple adaptive controller for chaos and hyperchaos synchronization.Physical Letter A,372(34):5593-5597,2008.
[13]G.Wang.Stabilitization and synchronization of Genesio CTesi system via single variale feedback controller.Physical Letter A,374(28):2831-2834,2010.
[14]Y.Zhang and J.Sun.Chaotic synchronzation and antisynchronization based on suitable separation.Physical Letter A,330(6):442-447,2004.
[15]J.Hu,S.Chen and L.Chen.Adaptive control for antisynchronization of chua’s chaostic sysytem.Physical Letter A,339(6):455-460,2005.
[16]S.Hammami,M.Benrejeba,M.Fekib and Borne P.Feedback control design for Russler and Chen chaotic systems antisynchronization.Physical Letter A,374(28):2835-2840,2010.
[17]M.Mossa Al-sawalhaa,M Noorani and M.Al-dlala.Adaptive anti-synchronization of chaotic systems with fully unkonwn parameters.Computers&Mathematics with Applications,59(10):3234-3244,2010.
[18]H.Y.Li,Y.A.Hu,Robust sliding-mode backstepping design for synchronization control of cross-strict feedback hyperchaotic systems with unmatched uncertainties.Commun.nonlinear Sci Numer.Simul.,16:3904-3913,2011.
[19]D.Y.Chen,W.L.Zhao,X.Y.Ma,No-chattering sliding mode control chaos in Hindmarsh-rose neurons with uncertain parameters.Comput.Math.Appl.,61:3161-3171,2011.
[20]M.T.Yessen,Controlling chaos and synchronization for new chaotic systems using feedback control.Chaos Solitons Fractal,26:913-920,2005.
[21]B.B.Sharma,I.N.Kar,Observer based synchronization scheme for a class of chaotic systems using contracton theory.nonlinear Dyn.,63:429-445,2011.
[22]U.E.Vicent,A.Ucar,J.A.Laoyea.Control and synchronization of chaos in RCL-shunted Josephson junction using backstepping design.Physica C,468:374-382,2008.
[23]J.Wen,C.S.JIang.Adaptive fuzzy control for a class of chaotic systems with nonaffine inputs.Commun.Nonlinear Sci.Numer.Simul,16:475-492,2011.
[24]y.s.Huang,M.Wu,Robust decentralized direct adaptive output feedback fuzzy control for a class of large-scale nonaffine nonlinear systems.Inf.Sci,181:2392-2404,2011.
[25]L.Wu,S.Zhu.Coexistence and switching of anticipating sychronization and lag synchronization in an optical system.Physical Letters,Section A:General,Automic and Solid State Physics,315:101-108,2003.
[26]L.Ren,R.W.Guo.Synchronization and synchronization for a class of chaotic systems by a simple adaptive controller.mathematical problems in engineering,434651:1-7,2015.
[27]Y,Y,L.Zhang.Nonlinear synchronization of new hyperchaotic system.Future Computer and Control System,2:409-413,2012.
[28]M.M.Elkholy,H.M.EL Hennawy.Real time implementation of secure communication system based on synchronization of hyper chaotic systems.in Proceedings of 33rd national radio science conference,2016:159-167.
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