超混沌复系统的自适应广义组合复同步及参数辨识

王诗兵; 王兴元

doi:10.11999/JEIT160101

超混沌复系统的自适应广义组合复同步及参数辨识

doi: 10.11999/JEIT160101

王诗兵¹,
王兴元²

2.
(大连理工大学电子信息与电气工程学部大连 116024) ②(阜阳师范学院计算机与信息工程学院阜阳 236041)

基金项目:

国家自然科学基金(61370145, 61173183)，安徽省高校省级自然科学基金(KJ2012A214)

计量
- 文章访问数: 1205
- HTML全文浏览量: 202
- PDF下载量: 413
- 被引次数: 0
出版历程
- 收稿日期: 2016-01-21
- 修回日期: 2016-06-08
- 刊出日期: 2016-08-19

Adaptive Generalized Combination Complex Synchronization and Parameter Identification of Hyperchaotic Complex Systems

WANG Shibing¹,
WANG Xingyuan²

2.
(Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China)

Funds:

The National Natural Science Foundation of China (61370145, 61173183), The Natural Science Foundation of Anhui Provincial Universities (KJ2012A214)

摘要

摘要: 该文针对含未知参数的异结构超混沌复系统，基于自适应控制及Lyapunov稳定性理论，提出一种新的自适应广义组合复同步方法 (GCCS)。首先给出广义组合复同步的定义，将驱动-响应系统的同步问题转化为误差系统零解的稳定性问题；然后从理论上设计了非线性反馈同步控制器及参数辨识更新律，并引入误差反馈增益，以控制同步的收敛速度；最后以超混沌复Lorenz系统、超混沌复Chen系统、超混沌复L系统的广义组合复同步与参数估计为例，从数值仿真角度验证了所提方法的正确性和有效性。
- 超混沌复系统 /
- 广义组合复同步 /
- 参数辨识 /
- 自适应控制
Abstract: Based on adaptive control and Lyapunov stability theory, a novel adaptive Generalized Combination Complex Synchronization (GCCS) scheme is proposed for nonidentical hyperchaotic complex systems with unknown parameters. Firstly, the definition of GCCS is presented, and synchronization of drive-response systems is transformed to the zero solution analysis of the error dynamical system. Secondly, a nonlinear feedback controller and parameter update laws are theoretically designed, wherein error feedback gains are introduced to control synchronization speed. Finally, GCCS among the hyperchaotic complex Lorenz system, complex Chen system, and complex L system is carried out to verify the correctness and effectiveness of the proposed scheme by numerical simulation.
- Hyperchaotic complex systems /
- Generalized Combination Complex Synchronization (GCCS) /
- Parameter identification /
- Adaptive control

HTML全文

参考文献(21)

PECORA L M and CARROLL T L. Synchronization in chaotic systems [J]. Physical Review Letters, 1990, 64(8): 821-824. doi: 10.1103/PhysRevLett.64.821.

SUN Zhiyong, SI Gangquan, MIN Fuhong, et al. Adaptive modified function projective synchronization and parameter identification of uncertain hyperchaotic (chaotic) systems with identical or non-identical structures[J]. Nonlinear Dynamics, 2012, 68(4): 471-486. doi: 10.1007/s11071-011-0230-0.

ZHANG Fangfang. Lag synchronization of complex Lorenz system with applications to communication[J]. Entropy, 2015, 17(7): 4974-4985. doi: 10.3390/e17074974.

禹思敏, 吕金虎, 李澄清. 混沌密码及其在多媒体保密通信中应用的进展[J]. 电子与信息学报, 2016, 38(3): 735-752. doi: 10.11999/JEIT151356.

YU Simin, L Jinhu, and LI Chengqing. Some progresses of chaotic cipher and its applications in multimedia secure communications[J]. Journal of Electronics Information Technology, 2016, 38(3): 735-752. doi: 10.11999/JEIT151356.

于海涛, 王江. 基于反演自适应动态滑模的FitzHugh- Nagumo神经元混沌同步控制[J]. 物理学报, 2013, 62(17): 170511. doi: 10.7498/aps.62.170511.

YU Haitao and WANG Jiang. Chaos synchronization of FitzHugh-Nagumo neurons via backstepping and adptive dynamical sliding mode control[J]. Acta Physica Sinica, 2013, 62(17): 170511. doi: 10.7498/aps.62.170511.

张友安, 余名哲, 耿宝亮. 基于投影法的不确定分数阶混沌系统自适应同步[J]. 电子与信息学报, 2015, 37(2): 455-460. doi: 10.11999/JEIT140514.

ZHANG Youan, YU Mingzhe, and GENG Baoliang. Adaptive synchronization of uncertain fractional-order chaotic systems based on projective method[J]. Journal of Electronics Information Technology, 2015, 37(2): 455-460. doi: 10.11999/ JEIT140514.

MAHMOUD G M, BOUNTIS T, ABDEL-LATIF G M, et al. Chaos synchronization of two different chaotic complex Chen and L systems[J]. Nonlinear Dynamics, 2008, 55(1): 43-53. doi: 10.1007/s11071-008-9343-5.

ZHOU Xiaobing, XIONG Lianglin, CAI Weiwei, et al. Adaptive synchronization and antisynchronization of a hyperchaotic complex Chen system with unknown parameters based on passive control[J]. Journal of Applied Mathematics, 2013, 23(1): 309-338. doi: 10.1155/2013/845253.

WANG Xingyuan and ZHANG Hao. Backstepping-based lag synchronization of a complex permanent magnet synchronous motor system[J]. Chinese Physics B, 2013, 22(4): 558-562. doi: 10.1088/1674-1056/22/4/048902.

MAHMOUD G M and MAHMOUD E E. Phase and antiphase synchronization of two identical hyperchaotic complex nonlinear systems[J]. Nonlinear Dynamics, 2010, 61(1-2): 141-152. doi: 10.1007/s11071-009-9637-2.

WANG Shibing, WANG Xingyuan, and ZHOU Yufei. A memristor-based complex Lorenz system and its modified projective synchronization[J]. Entropy, 2015, 17(11): 7628-7644. doi: 10.3390/e17117628.

LIU Jian, LIU Shutang, and YUAN Chunhua. Adaptive complex modified projective synchronization of complex chaotic (hyperchaotic) systems with uncertain complex parameters[J]. Nonlinear Dynamics, 2015, 79(2): 1035-1047. doi: 10.1007/s11071-014-1721-6.

WANG Shibing, WANG Xingyuan, and HAN Bo. Complex generalized synchronization and parameter identification of nonidentical nonlinear complex systems[J]. PLoS One, 2016, 11(3): e0152099. doi: 10.1371/journal.Pone.0152099.

ZHOU Xiaobing, JIANG Murong, and HUANG Yaqun. Combination synchronization of three identical or different nonlinear complex hyperchaotic systems[J]. Entropy, 2013, 15(9): 3746-3761. doi: 10.3390/e15093746.

SUN Junwei, CUI, Guangzhao, WANG Yanfeng, et al. Combination complex synchronization of three chaotic complex systems[J]. Nonlinear Dynamics, 2015, 79(2): 953-965. doi: 10.1007/s11071-014-1714-5.

JIANG Cuimei, LIU Shutang, and WANG Da. Generalized combination complex synchronization for fractional-order chaotic complex systems[J]. Entropy, 2015, 17(8): 5199-5217. doi: 10.3390/e17085199.

LUO Runzi, WANG Yinglan, and DENG Shucheng. Combination synchronization of three classic chaotic systems using active backstepping design[J]. Chaos, 2011, 21(4): 043114. doi: 10.1063/1.3655366.

RULKOV N F, SUSHCHIK M M, TSIMRING L S, et al. Generalized synchronization of chaos in directionally coupled chaotic systems[J]. Physical Review E, 1995, 51(2): 980-994. doi: 10.1103/PhysRevE.51.980.

施引文献

资源附件(0)

访问统计