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Abstract
Based on the nonlinear control system theory and Lyapunov technique,we have designed a nonlinear feedback controller for controlling the scalar output signal of a smooth (hyper) chaotic system to synchronize with any continuous time scalar (hyper) chaotic signal under some assumptions.The result,which is global,is rigorously proved by means of Lyapunov theroy.An application to the synchronization of two (hyper) chaotic systems is presented.
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GAO JIN-FENG,

LUO XIAN-JUE,

MA XI-KUI

1.
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Cited By

[1]	Ma Jun, Wu Xin-Yi, Qin Hui-Xin.Realization of synchronization between hyperchaotic systems by using a scheme of intermittent linear coupling. Acta Physica Sinica, 2013, 62(17): 170502.doi:10.7498/aps.62.170502
[2]	Yu Hong-Jie, Zheng Ning.Controlling chaos using half period delay-nonlinear feedback. Acta Physica Sinica, 2007, 56(7): 3782-3788.doi:10.7498/aps.56.3782
[3]	Zhou Ping.Synchronization for a class of chaotic systems via scalar controller. Acta Physica Sinica, 2007, 56(7): 3777-3781.doi:10.7498/aps.56.3777
[4]	Yao Li-Na, Gao Jin-Feng, Liao Ni-Huan.Synchronization of a class of chaotic systems using nonlinear observers. Acta Physica Sinica, 2006, 55(1): 35-41.doi:10.7498/aps.55.35
[5]	Zhu Zhi-Yu.Synchronization control based on feedback precise linearization. Acta Physica Sinica, 2006, 55(12): 6248-6252.doi:10.7498/aps.55.6248
[6]	Wu Xiang-Jun, Wang Xing-Yuan.Chaos synchronization of the new hyperchaotic Chen system via nonlinear control. Acta Physica Sinica, 2006, 55(12): 6261-6266.doi:10.7498/aps.55.6261
[7]	Yu Hong-Jie.Controlling chaos using time-delay nonlinear feedback. Acta Physica Sinica, 2005, 54(11): 5053-5057.doi:10.7498/aps.54.5053
[8]	Wang Xing-Yuan, Liu Ming.Sliding mode control for the synchronization of master-slave chaotic systems with sector nonlinear input. Acta Physica Sinica, 2005, 54(6): 2584-2589.doi:10.7498/aps.54.2584
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[10]	Wei Rong, Wang Xing-Yu.An adaptive H∞ synchronization approach for continuous-time chaotic systems. Acta Physica Sinica, 2004, 53(10): 3298-3302.doi:10.7498/aps.53.3298
[11]	Gao Jin-Feng, Liang Zhan-Hong.A general scalar chaotic signal synchronization system and its controller via backstepping design. Acta Physica Sinica, 2004, 53(8): 2454-2460.doi:10.7498/aps.53.2454
[12]	Zhang Sheng-Hai, YangHua, Qian Xing-Zhong.A method for controlling hyperchaos of Er-doped fiber laser——Nonlinear time-delay feedback modulating-parameter. Acta Physica Sinica, 2004, 53(11): 3706-3709.doi:10.7498/aps.53.3706
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[14]	Liu Fu-Cai, Wang Juan, Shi Miao, Gao Xiu-Wei.Nonlinear continuous predictive variable structure control and synchronization of chaotic systems. Acta Physica Sinica, 2002, 51(12): 2707-2712.doi:10.7498/aps.51.2707
[15]	LUO XIAO-SHU, LIU MU-REN, FANG JING-QING, KONG LIN-JIANG, TANG GUO-NING.A METHOD OF CHAOS CONTROL BASED ON THE LINEAR AND NONLINEAR TRANSFORMATION OF SYSTEM VARIABLES. Acta Physica Sinica, 2000, 49(5): 849-853.doi:10.7498/aps.49.849
[16]	WU WEI-GEN, GU TIAN-XIANG.NONLINEAR FEEDBACK FOLLOWING CONTROL OF CHAOTIC SYSTEMS. Acta Physica Sinica, 2000, 49(10): 1922-1925.doi:10.7498/aps.49.1922
[17]	GAO JIN-FENG, MA XI-KUI, LUO XIAN-JUE.AN ADAPTIVE APPROACH FOR REALIZING ANY CONTINUOUS TIME SCALAR(HYPER)CHAOTIC SIGN AL SYNCHRONIZATION CONTROL. Acta Physica Sinica, 2000, 49(7): 1235-1240.doi:10.7498/aps.49.1235
[18]	LUO XIAO-SHU, FANG JIN-QING, QU WAN-LI.CONTROLLING HYPERCHAOS THROUGH LENGTHENING TIME OF AUTOCORRELATION OF SIGNAL. Acta Physica Sinica, 1999, 48(4): 589-595.doi:10.7498/aps.48.589
[19]	GAO JIN-FENG, LUO XIAN-JUE, MA XI-KUI, PAN XIU-QIN, WANG JUN-KUN.A NONLINEAR STATE FEEDBACK APPROACH TO THE CONTROL AND SYNCHRONIZATION OF CONTINUOUS-TIME CHAOTIC SYSTEMS. Acta Physica Sinica, 1999, 48(9): 1618-1627.doi:10.7498/aps.48.1618
[20]	Cheng Yan-Xiang, Wang Guang-Rui.. Acta Physica Sinica, 1995, 44(9): 1382-1389.doi:10.7498/aps.44.1382

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Vol. 49, Issue 5 - 2000-03-05

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