Finite-time lag synchronization of two Chua's circuit systems with time delay
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- 英文论文题名：Finite-time lag synchronization of two Chua's circuit systems with time delay
- 论文作者：Yanyi Xu ; Yun Chen ; Qian Lin
- 英文论文作者：Yanyi Xu ; Yun Chen ; Qian Lin ; Department of Information Security ; Naval University of Engineering ; College of Electronic Engineering ; Naval University of Engineering
- 年：2017
- 作者机构：Department of Information Security,Naval University of Engineering;College of Electronic Engineering,Naval University of Engineering;
- 英文论文关键词：Chua's circuit system ; finite-time synchronization ; the variable-substitution and sinusoidal feedback controller ; time delay
- 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：TM13
- 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：215k
- 原文格式：D
- 会议级别：全国
摘要
This paper investigates the finite-time lag synchronization of the master-slave Chua's circuit systems with time delay via a variable-substitution and sinusoidal feedback controller. Employing the finite-time stability theory, some finite-time synchronization criteria for the variable-substitution and sinusoidal feedback controller are analytically proven and the corresponding synchronization time is mathematically estimated. Several examples are illustrated to verify that the criteria are effective.
This paper investigates the finite-time lag synchronization of the master-slave Chua's circuit systems with time delay via a variable-substitution and sinusoidal feedback controller. Employing the finite-time stability theory, some finite-time synchronization criteria for the variable-substitution and sinusoidal feedback controller are analytically proven and the corresponding synchronization time is mathematically estimated. Several examples are illustrated to verify that the criteria are effective.
This paper investigates the finite-time lag synchronization of the master-slave Chua's circuit systems with time delay via a variable-substitution and sinusoidal feedback controller. Employing the finite-time stability theory, some finite-time synchronization criteria for the variable-substitution and sinusoidal feedback controller are analytically proven and the corresponding synchronization time is mathematically estimated. Several examples are illustrated to verify that the criteria are effective.
引文
[1]L.O.Chua,M.Komuro and T.Matsumoto,The double scroll family,IEEE Trans.circuits Systs.CAS,33(11):1073-1118,1986.
[2]L.O.Chua,Global unfolding of Chua’s circuit,IEICE Trans.Fundamentals E,76-A(5):704-734,1993.
[3]L.O.Chua,Chua’s circuit 10 years later,Int.J.Circuit.Theor.App1.,1(22):279-305,1994.
[4]I.M.Kyprianidis,A.N Bogiatzi,M.Dapadopoulou and I.N.Stouboulos,Synchronizing chaotic attractors of Chua’s canonical circuit:the case of uncertainty in chaos synchronization,International Journal of Bifurcation and Chaos,16(7):1196-1976,2006.
[5]L.O.Chua,M.Itoh,L.Kocarev and K.Echert,Chaos synchronizing in Chua’s circuit,J.Circuits Syst.Comput.,3:93-108,1993.
[6]L.O.Chua,T.Yang,G.Q.Zhong and C.W.Wu,Adaptive synchronization of Chua’s oscillators,International Journal of Bifurcation and Chaos,6(1):189-201,1996.
[7]Y.Zheng,Z.Liu and J.Zhou,A new synchronization principle and application to Chua’s circuits,International Journal of Bifurcation and Chaos,12(4):815-818,2002.
[8]X.F.Wu,Y.Zhao and S.Zhou,Lag synchronization of chaotic Lur’e systems via replacing variables control,International Journal of Bifurcation and Chaos,15(2):617-635,2005.
[9]X.F.Wu and Y.Zhao,Frequency domain criterion for chaos synchronization of Lur’e systems via state feedback control,International Journal of Bifurcation and Chaos,15(4):1445-1454,2005.
[10]X.F.Wu,J.P.Cai and Y.Zhao,Some new algebraic criteria for chaos synchronization of Chua’s circuits by linear state error feedback control,International Journal of Bifurcation and Chaos,34(3):265-280,2006.
[11]X.F.Wu,Y.Zhao and M.H.Wang,Global synchronization of chaotic Lur’e systems via replacing variables control,Kybernetika,44(4):571-584,2008.
[12]X.Xiao,L.Zhou and Z.Zhang,Synchronization of chaotic Lur’e systems with quantized sampled-data controller,Commun.Nonliear Sci.Numer.Simulat.,19:2039-2047,2014.
[13]H.Wang,Z.Z.Han and Q.Y.Xie,Finite-time synchronization of uncertain unified chaotic systems based on the CLF,Nonlinear Analysis:Real World Applications,10:2842-2849,2009.
[14]Q.Lin and X.F.Wu,Global finite-time synchronization of Lur’e systems,J.Huazhong Univ.of Sci.&Tech.(Natural Science Edition),39:36-38,2011.
[15]S.Yu,X.Yu,B.Shirinzadeh and et al.,Continuous finite-time control for robotic manipulators with terminal sliding mode,Automatica,41:1957-1964,2005.
[16]J.Kuang,Applied Inequalities.Jinan:Shandong Science and Technology Press,2004.(In Chinese)
[17]S.P.Bhat and D.S.Bernstein,Finite time stability of continuous autonomous systems,SIAM Journal on Control and Optimization,38(3):751-766,2000.
[2]L.O.Chua,Global unfolding of Chua’s circuit,IEICE Trans.Fundamentals E,76-A(5):704-734,1993.
[3]L.O.Chua,Chua’s circuit 10 years later,Int.J.Circuit.Theor.App1.,1(22):279-305,1994.
[4]I.M.Kyprianidis,A.N Bogiatzi,M.Dapadopoulou and I.N.Stouboulos,Synchronizing chaotic attractors of Chua’s canonical circuit:the case of uncertainty in chaos synchronization,International Journal of Bifurcation and Chaos,16(7):1196-1976,2006.
[5]L.O.Chua,M.Itoh,L.Kocarev and K.Echert,Chaos synchronizing in Chua’s circuit,J.Circuits Syst.Comput.,3:93-108,1993.
[6]L.O.Chua,T.Yang,G.Q.Zhong and C.W.Wu,Adaptive synchronization of Chua’s oscillators,International Journal of Bifurcation and Chaos,6(1):189-201,1996.
[7]Y.Zheng,Z.Liu and J.Zhou,A new synchronization principle and application to Chua’s circuits,International Journal of Bifurcation and Chaos,12(4):815-818,2002.
[8]X.F.Wu,Y.Zhao and S.Zhou,Lag synchronization of chaotic Lur’e systems via replacing variables control,International Journal of Bifurcation and Chaos,15(2):617-635,2005.
[9]X.F.Wu and Y.Zhao,Frequency domain criterion for chaos synchronization of Lur’e systems via state feedback control,International Journal of Bifurcation and Chaos,15(4):1445-1454,2005.
[10]X.F.Wu,J.P.Cai and Y.Zhao,Some new algebraic criteria for chaos synchronization of Chua’s circuits by linear state error feedback control,International Journal of Bifurcation and Chaos,34(3):265-280,2006.
[11]X.F.Wu,Y.Zhao and M.H.Wang,Global synchronization of chaotic Lur’e systems via replacing variables control,Kybernetika,44(4):571-584,2008.
[12]X.Xiao,L.Zhou and Z.Zhang,Synchronization of chaotic Lur’e systems with quantized sampled-data controller,Commun.Nonliear Sci.Numer.Simulat.,19:2039-2047,2014.
[13]H.Wang,Z.Z.Han and Q.Y.Xie,Finite-time synchronization of uncertain unified chaotic systems based on the CLF,Nonlinear Analysis:Real World Applications,10:2842-2849,2009.
[14]Q.Lin and X.F.Wu,Global finite-time synchronization of Lur’e systems,J.Huazhong Univ.of Sci.&Tech.(Natural Science Edition),39:36-38,2011.
[15]S.Yu,X.Yu,B.Shirinzadeh and et al.,Continuous finite-time control for robotic manipulators with terminal sliding mode,Automatica,41:1957-1964,2005.
[16]J.Kuang,Applied Inequalities.Jinan:Shandong Science and Technology Press,2004.(In Chinese)
[17]S.P.Bhat and D.S.Bernstein,Finite time stability of continuous autonomous systems,SIAM Journal on Control and Optimization,38(3):751-766,2000.