Adaptive synchronization of a hyperchaotic Lü system based on extended passive control

doi:10.1088/1674-1056/19/6/060505

中国物理B ›› 2010, Vol. 19 ›› Issue (6): 60505-060505.doi: 10.1088/1674-1056/19/6/060505

Adaptive synchronization of a hyperchaotic Lü system based on extended passive control

傅桂元, 李钟慎

College of Mechanical Engineering and Automation, Huaqiao University, Quanzhou 362021, China

收稿日期:2009-10-20 出版日期:2010-06-15 发布日期:2010-06-15
基金资助:
Project supported by the Natural Science Foundation of Fujian Province, China (Grant No.~E0710018).

Adaptive synchronization of a hyperchaotic Lü system based on extended passive control

Fu Gui-Yuan(傅桂元)^† and Li Zhong-Shen(李钟慎)

College of Mechanical Engineering and Automation, Huaqiao University, Quanzhou 362021, China

Received:2009-10-20 Online:2010-06-15 Published:2010-06-15
Supported by:
Project supported by the Natural Science Foundation of Fujian Province, China (Grant No.~E0710018).

摘要/Abstract

摘要： This paper investigates the adaptive synchronization of hyperchaotic Lü systems based on the method of extended passive control. By combining the feedback control, the extended passive control method with two output variables is developed, which can synchronize hyperchaotic Lü systems asymptotically and globally more easily without knowing the bound of state of the hyperchaotic system. Adaptive laws are introduced to estimate the unknown parameters as well. Simulation results show the effectiveness and flexibility of the proposed control scheme.

Abstract: This paper investigates the adaptive synchronization of hyperchaotic Lü systems based on the method of extended passive control. By combining the feedback control, the extended passive control method with two output variables is developed, which can synchronize hyperchaotic Lü systems asymptotically and globally more easily without knowing the bound of state of the hyperchaotic system. Adaptive laws are introduced to estimate the unknown parameters as well. Simulation results show the effectiveness and flexibility of the proposed control scheme.

Key words: hyperchaotic Lü system, synchronization, extended passive control, adaptive control

中图分类号: (Control of chaos, applications of chaos)

05.45.Gg

07.05.Dz (Control systems) 05.45.Xt (Synchronization; coupled oscillators)

傅桂元, 李钟慎. Adaptive synchronization of a hyperchaotic Lü system based on extended passive control[J]. 中国物理B, 2010, 19(6): 60505-060505.

Fu Gui-Yuan(傅桂元) and Li Zhong-Shen(李钟慎). Adaptive synchronization of a hyperchaotic Lü system based on extended passive control[J]. Chin. Phys. B, 2010, 19(6): 60505-060505.

参考文献 13

[1]	Chen G and Dong X 1998 From Chaos to Order (Singapore: World Scientific) p.~52
[2]	Yassen M T 2008 Chaos, Solitons and Fractals 37 465
[3]	Yassen M T 2008 Nonlinear Anal. Theor. 68 3592
[4]	Cai G L, Zheng S and Tian L X 2008 Chin. Phys. B 17 2412
[5]	Wang B, Wen G J and Xie K 2008 Phys. Lett. A 372 3015
[6]	Wu X and Zhang H 2009 Chaos, Solitons and Fractals 39 2268
[7]	Zhang H G, Zhao Y, Yu W and Yang D S 2008 Chin. Phys. B 17 4056
[8]	Cao J D and Lu J Q 2006 Chaos 16 013133
[9]	Willems J C 1972 Arch. Rational Mech. Anal. 45 321
[10]	Byrnes C I and Isidori A 1991 IEEE Trans. Automat. Contr. 36 1228
[11]	Wang F Q and Liu C X 2006 Chin. Phys. 15 1971
[12]	Zhang Q J and Lu J A 2008 Chin. Phys. B 17 492
[13]	Chen A, Lu J, Lü J and Yu S 2006 Physica A 364 103

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Adaptive synchronization of a hyperchaotic Lü system based on extended passive control

Adaptive synchronization of a hyperchaotic Lü system based on extended passive control

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