异构超混沌系统有限时间组合-组合同步及应用

doi:10.16182/j.issn1004731x.joss.22-0364

系统仿真学报 ›› 2023, Vol. 35 ›› Issue (7): 1590-1601.doi: 10.16182/j.issn1004731x.joss.22-0364

异构超混沌系统有限时间组合-组合同步及应用

董武(), 王聪(), 张宏立, 马萍

新疆大学电气工程学院，新疆乌鲁木齐 830017

收稿日期:2022-04-16 修回日期:2022-06-27 出版日期:2023-07-29 发布日期:2023-07-19
通讯作者: 王聪 E-mail:hndongwu@163.com;wangcong1120@foxmail.com
作者简介:董武(1995-)，男，硕士生，研究方向为非线性系统分析与控制、保密通信。E-mail：hndongwu@163.com
基金资助:
国家自然科学基金(51967019);天山青年计划(2019Q064);天山雪松计划(2020XS03)

Finite-time Combination-combination Synchronization of Hyperchaotic Systems With Different Structures and Its Application

Wu Dong(), Cong Wang(), Hongli Zhang, Ping Ma

School of Electrical Engineering, Xinjiang University, Urumqi 830017, China

Received:2022-04-16 Revised:2022-06-27 Online:2023-07-29 Published:2023-07-19
Contact: Cong Wang E-mail:hndongwu@163.com;wangcong1120@foxmail.com

摘要/Abstract

摘要：

为有效提高保密通信系统的安全性，在混沌组合同步的基础上提出一种基于有限时间理论的异结构超混沌系统组合-组合同步方案，并将其应用于混沌掩盖保密通信。选取四种具有普适性的经典超混沌系统作为研究对象；结合有限时间理论和Lyapunov稳定理论，利用反步法设计异结构超混沌系统的组合-组合同步控制方案，在数学理论上证明了方案的合理性，并通过数值仿真和对比实验验证了有限时间控制方案的高效性和对外部干扰的强鲁棒性；利用该有限时间组合—组合同步设计了混沌掩盖保密通信方案，仿真结果表明在外部干扰和信道噪声存在的条件下此方案能快速有效地恢复出原始信息信号，具有较强的抗破译性。

关键词: 有限时间, 组合-组合, 异结构, 超混沌, 混沌掩盖

Abstract:

In order to improve the security of confidential communication systems effectively, a combination-combination synchronization scheme based on finite time theory is proposed and applied to chaotic masked confidential communication. Four classical hyperchaotic systems with universal applicability are selected as the research objects. The backstepping method is used to design the combination-combination synchronous control scheme for different structural hyperchaotic systems based on finite-time theory and Lyapunov stability theory. The efficiency and strong robustness to external disturbances of the finite time control scheme are verified by numerical simulation and comparative experiments. The effectiveness of the controller and the strong robustness to external interference are verified by numerical simulation. A chaotic masking secure communication scheme is designed by using the finite time combination-combination synchronization. The simulation results show that the scheme can recover the original information signal quickly and effectively in the presence of external interference and channel noise, and has strong anti-decipherability.

Key words: finite-time, combination-combination, different structures, hyperchaos, chaotic masking

中图分类号:

TP391.9

董武, 王聪, 张宏立, 马萍. 异构超混沌系统有限时间组合-组合同步及应用[J]. 系统仿真学报, 2023, 35(7): 1590-1601.

Wu Dong, Cong Wang, Hongli Zhang, Ping Ma. Finite-time Combination-combination Synchronization of Hyperchaotic Systems With Different Structures and Its Application[J]. Journal of System Simulation, 2023, 35(7): 1590-1601.

图/表 9

图1

表1

参数选取

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异构超混沌系统有限时间组合-组合同步及应用

Finite-time Combination-combination Synchronization of Hyperchaotic Systems With Different Structures and Its Application

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