参数未知的多响应混沌系统的同步及参数估计

量子电子学报 ›› 2019, Vol. 36 ›› Issue (4): 483-489.

参数未知的多响应混沌系统的同步及参数估计

李晓霞¹,李艳雨²,冯志新¹,张启宇¹

1河北工业大学省部共建电工装备可靠性与智能化国家重点实验室, 天津 300130； 2 河北工业大学河北省电磁场与电器可靠性重点实验室, 天津 300130

收稿日期:2018-11-26 修回日期:2019-04-12 出版日期:2019-07-28 发布日期:2019-07-11
作者简介:李晓霞，女，博士，副教授，硕士生导师，主要从事复杂网络及生物电工方面的研究。 E-mail: lixiaoxia@hebut.edu.cn
基金资助:
Supported by Natural Science Foundation of Hebei Province(河北省自然科学基金, E2011202051)

Synchronization and parameter estimation of multiple-response chaotic systems with unknown parameters

LI Xiaoxia1，2, LI Yanyu1，2, FENG Zhixin1，2, ZHANG Qiyu1，2

1 State Key Laboratory of Reliability and Intelligence of Electrical Equipment, Hebei University of Technology, Tianjin 300130, China； 2 Key Laboratory of Electromagnetic Field and Electrical Apparatus Reliability of Hebei Province, Hebei University of Technology, Tianjin 300130, China

Received:2018-11-26 Revised:2019-04-12 Published:2019-07-28 Online:2019-07-11

摘要/Abstract

摘要： 摘要：本文研究了一种单驱动多响应的不确定异构混沌系统的同步及参数估计问题. 利用Lorenz系统同时驱动Yang系统和Liu系统（三个系统的参数全部未知）, 构成一个单驱动多响应的不确定异构混沌系统. 然后基于Lyapunov稳定性定理和自适应控制方法, 给出自适应控制器和参数自适应率, 同时引入尺度因子, 研究该单驱动多响应混沌系统的两种不同形式的混合同步, 并对未知参数进行估计, 理论证明了该方法的可行性. 仿真结果显示, 单驱动多响应的不确定异构混沌系统可以实现较好的同步, 且能准确地估计出系统中所有未知参数的值.

Abstract: Abstract: In this paper, the synchronization and parameter estimation of an uncertain chaotic system with single-drive and multiple-response is studied. By using Lorenz system to drive both Yang system and Liu system simultaneously (all parameters of the three systems are unknown), an uncertain heterogeneous chaotic system with single-drive and multiple-response is constructed. Then based on Lyapunov stability theory and adaptive control method, we consider the scaling factor and give the expression of adaptive controller and the updating rule of parameters, then study two different forms of mixed synchronization of the chaotic system with single-drive and multiple-response, and estimate the unknown parameters at the same time. The method is proved to be feasible in theory. The simulation results show that the uncertain heterogeneous chaotic system with single-drive and multiple-response can be synchronous well and accurately estimate the values of all unknown parameters in the system.

中图分类号:

0415.5

李晓霞李艳雨冯志新张启宇. 参数未知的多响应混沌系统的同步及参数估计[J]. 量子电子学报, 2019, 36(4): 483-489.

LI Xiaoxia1，2, LI Yanyu1，2, FENG Zhixin1，2, ZHANG Qiyu1，2. Synchronization and parameter estimation of multiple-response chaotic systems with unknown parameters[J]. Chinese Journal of Quantum Electronics, 2019, 36(4): 483-489.

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