一类带有未知参数的受扰混沌系统的观测器同步

李秀春; 谷建华; 王云岚; 赵天海

doi:10.7498/aps.60.030505

摘要

在系统参数未知的情形下,观测器方法和自适应方法相结合,实现了一类受扰混沌系统的同步.借助于Lyapunov稳定性理论和Barbalat引理,给出了观测器的设计方法.此方法约束条件较少,适应于大部分常见的混沌系统.最后,通过对典型混沌系统的同步数值仿真,证实了方法的有效性和正确性.

关键词:

Combining the observer and adaptive method, chaos synchronization is realized for a class of the perturbed chaotic systems with unknown parameters. Lyapunov stability theory and Barbalat lemma are adopted to design observer for achieving chaos synchronization. This method has fewer constraints and can be applied to many chaotic systems. Numerical simulations of representative chaotic systems further verify the validity of the proposed method.

Keywords:

作者及机构信息

1.
西北工业大学高性能计算研究与发展中心,西安 710072

基金项目: 国家自然科学基金(批准号:11002114)和国家高技术研究发展计划(863计划)(批准号: 2009AA01Z142)资助的课题.

Authors and contacts

1.
Centre for High Performance Computing, Northwestern Polytechnical University, Xi’an 710072, China

参考文献

[1]	Pecora L M, Carroll T L 1990 Phys.Rev. Lett. 64 821
[2]	Kocarev L, Parlitz U 1995 Phys.Rev. Lett. 74 5208
[3]	Huang D B 2005 Phys.Rev. E 71 037203
[4]	Wu Y, Zhou X B, Chen J, Hui B 2009 Chaos Solitons Fract. 42 1812
[5]	Zhang L P, Jiang H B, Bi Q S 2010 Chin. Phys. 19 010507
[6]	Liu D, Yan X M 2009 Acta Phys. Sin. 58 3747 (in Chinese) [刘丁、闫晓妹 2009 物理学报 58 3747]
[7]	Feng J W, He L, Xu C, Francis A, Wu G 2010 Commun. Nonlinear Sci. Numer. Simul. 15 2546
[8]	GaoT G, Chen Z Q, Yuan Z Z, Gu Q L 2004 Acta Phys.Sin. 53 1305(in Chinese)[高铁杠、陈增强、袁著祉、顾巧论 2004 物理学报 53 1305]
[9]	Liu F, Ren Y, Shan X M, Qiu Z L 2001 Chin. Phys. 10 0606
[10]	Hua C C, Guan X P 2004 Chin. Phys. 13 1391
[11]	Hua C C, Guan X P, Li X L, Shi P 2004 Chaos Solitons Fract. 22 103
[12]	Guan X P, He Y H, Fan Z P 2003 Acta Phys.Sin. 52 276(in Chinese)[关新平、何宴辉、范正平2003 物理学报52 276]
[13]	Chen J, Zhang T P 2006 Acta Phys. Sin. 55 3928 (in Chinese)[陈晶、张天平2006 物理学报55 3928]
[14]	Bowong S, Kakmeni F.M. M, Fotsin H 2006 Phys. Lett. A 355 193
[15]	Zhu F L 2008 Phys. Lett. A 372 223
[16]	Zhu F L 2009 Chaos Solitons Fract. 40 2384
[17]	Wang J Z, Chen Z Q, Yuan Z Z 2006 Chin. Phys. 15 1216

施引文献

[1]	Pecora L M, Carroll T L 1990 Phys.Rev. Lett. 64 821
[2]	Kocarev L, Parlitz U 1995 Phys.Rev. Lett. 74 5208
[3]	Huang D B 2005 Phys.Rev. E 71 037203
[4]	Wu Y, Zhou X B, Chen J, Hui B 2009 Chaos Solitons Fract. 42 1812
[5]	Zhang L P, Jiang H B, Bi Q S 2010 Chin. Phys. 19 010507
[6]	Liu D, Yan X M 2009 Acta Phys. Sin. 58 3747 (in Chinese) [刘丁、闫晓妹 2009 物理学报 58 3747]
[7]	Feng J W, He L, Xu C, Francis A, Wu G 2010 Commun. Nonlinear Sci. Numer. Simul. 15 2546
[8]	GaoT G, Chen Z Q, Yuan Z Z, Gu Q L 2004 Acta Phys.Sin. 53 1305(in Chinese)[高铁杠、陈增强、袁著祉、顾巧论 2004 物理学报 53 1305]
[9]	Liu F, Ren Y, Shan X M, Qiu Z L 2001 Chin. Phys. 10 0606
[10]	Hua C C, Guan X P 2004 Chin. Phys. 13 1391
[11]	Hua C C, Guan X P, Li X L, Shi P 2004 Chaos Solitons Fract. 22 103
[12]	Guan X P, He Y H, Fan Z P 2003 Acta Phys.Sin. 52 276(in Chinese)[关新平、何宴辉、范正平2003 物理学报52 276]
[13]	Chen J, Zhang T P 2006 Acta Phys. Sin. 55 3928 (in Chinese)[陈晶、张天平2006 物理学报55 3928]
[14]	Bowong S, Kakmeni F.M. M, Fotsin H 2006 Phys. Lett. A 355 193
[15]	Zhu F L 2008 Phys. Lett. A 372 223
[16]	Zhu F L 2009 Chaos Solitons Fract. 40 2384
[17]	Wang J Z, Chen Z Q, Yuan Z Z 2006 Chin. Phys. 15 1216

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