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

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

Abstract

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

CLC Number:

TP391.9

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.

Figures/Tables 9

Fig. 1

Table 1

Relevant parameters selection

References 21

1	李震波, 唐驾时. 参数扰动下的混沌同步控制及其保密通信方案[J]. 控制理论与应用, 2014, 31(5): 592-600.
	Li Zhenbo, Tang Jiashi. Chaotic Synchronization With Parameter Perturbation and Its Secure Communication Scheme[J]. Control Theory & Applications, 2014, 31(5): 592-600.
2	屈双惠, 杨志宏, 容旭巍, 等. 一个新忆阻混沌系统及其在图像加密中的应用[J]. 系统仿真学报, 2019, 31(5): 984-991.
	Qu Shuanghui, Yang Zhihong, Rong Xuwei, et al. A New Memristor Chaotic System and Its Application in Image Encryption[J]. Journal of System Simulation, 2019, 31(5): 984-991.
3	Huang Dasong, Jiang Minghui, Jian Jigui. Finite-time Synchronization of Inertial Memristive Neural Networks With Time-varying Delays Via Sampled-date Control[J]. Neurocomputing, 2017, 266: 527-539.
4	薛薇, 徐进康, 贾红艳. 一个分数阶超混沌系统同步及其保密通信研究[J]. 系统仿真学报, 2016, 28(8): 1915-1921, 1928.
	Xue Wei, Xu Jinkang, Jia Hongyan. Study of Synchronization for Fractional-order Hyperchaotic System and Its Application in Secure Communication[J]. Journal of System Simulation, 2016, 28(8): 1915-1921, 1928.
5	孙克辉, 王会海, 贺少波. 混沌及其信息安全应用[M]. 北京: 清华大学出版社, 2021.
	Sun Kehui, Wang Huihai, He Shaobo. Chaos and Its Application in Information Security[M]. Beijing: Tsinghua University Press, 2021.
6	Wang Zuoxun, Guo Rongwei. Hybrid Synchronization Problem of a Class of Chaotic Systems by an Universal Control Method[J]. Symmetry, 2018, 10(11): 552.
7	陈学菲, 刘辉昭. 参数不确定非自治混沌系统的自适应指数同步[J]. 应用数学和力学, 2021, 42(3): 316-322.
	Chen Xuefei, Liu Huizhao. Adaptive Exponential Synchronization of Non-autonomous Chaotic Systems With Uncertain Parameters[J]. Applied Mathematics and Mechanics, 2021, 42(3): 316-322.
8	张檬, 韩敏. 基于滑模控制法的不确定复杂网络间有限时间组合同步[J]. 控制与决策, 2017, 32(8): 1533-1536.
	Zhang Meng, Han Min. Finite-time Combination Synchronization of Uncertain Complex Networks Based on Sliding Mode Control Method[J]. Control and Decision, 2017, 32(8): 1533-1536.
9	Wang Cong, Zhang Hongli, Fan Wenhui. Generalized Dislocated Lag Function Projective Synchronization of Fractional Order Chaotic Systems With Fully Uncertain Parameters[J]. Chaos, Solitons & Fractals, 2017, 98: 14-21.
10	Ahmad I, Shafiq M, Al-Sawalha M M. Globally Exponential Multi Switching-combination Synchronization Control of Chaotic Systems for Secure Communications[J]. Chinese Journal of Physics, 2018, 56(3): 974-987.
11	Bhat M A, Khan A. Multi-switching Combination Synchronization of Different Fractional-order Non-linear Dynamical Systems[J]. International Journal of Modelling and Simulation, 2018, 38(4): 254-261.
12	Khan A, Khattar D, Prajapati N. Dual Combination Combination Multi Switching Synchronization of Eight Chaotic Systems[J]. Chinese Journal of Physics, 2017, 55(4): 1209-1218.
13	Zheng Song. Multi-switching Combination Synchronization of Three Different Chaotic Systems Via Nonlinear Control[J]. Optik, 2016, 127(21): 10247-10258.
14	王诗兵, 王兴元. 超混沌复系统的自适应广义组合复同步及参数辨识[J]. 电子与信息学报, 2016, 38(8): 2062-2067.
	Wang Shibing, Wang Xingyuan. Adaptive Generalized Combination Complex Synchronization and Parameter Identification of Hyperchaotic Complex Systems[J]. Journal of Electronics & Information Technology, 2016, 38(8): 2062-2067.
15	Singh A K, Yadav V K, Das S. Dual Combination Synchronization of the Fractional Order Complex Chaotic Systems[J]. Journal of Computational and Nonlinear Dynamics, 2017, 12(1): 011017.
16	Sun Junwei, Shen Yi, Zhang Guodong, et al. Combination-combination Synchronization Among Four Identical or Different Chaotic Systems[J]. Nonlinear Dynamics, 2013, 73(3): 1211-1222.
17	Vafamand N, Khorshidi S, Khayatian A. Secure Communication for Non-ideal Channel Via Robust TS Fuzzy Observer-based Hyperchaotic Synchronization[J]. Chaos, Solitons & Fractals, 2018, 112: 116-124.
18	Alattas K A, Mostafaee J, Sambas A, et al. Nonsingular Integral-type Dynamic Finite-time Synchronization for Hyper-chaotic Systems[J]. Mathematics, 2021, 10(1): 115.
19	郑广超, 刘崇新, 王琰. 一种具有隐藏吸引子的分数阶混沌系统的动力学分析及有限时间同步[J]. 物理学报, 2018, 67(5): 41-49.
	Zheng Guangchao, Liu Chongxin, Wang Yan. Dynamic Analysis and Finite Time Synchronization of a Fractional-order Chaotic System With Hidden Attractors[J]. Acta Physica Sinica, 2018, 67(5): 41-49.
20	李善强, 彭秀艳, 李强. 多个时滞混沌系统自适应有限时间同步控制[J]. 电机与控制学报, 2019, 23(6): 112-118.
	Li Shanqiang, Peng Xiuyan, Li Qiang. Adaptive Finite-time Synchronization of Multiple Chaotic Systems With Time-varying Delay[J]. Electric Machines and Control, 2019, 23(6): 112-118.
21	刘洋, 井元伟, 刘晓平, 等. 非线性系统有限时间控制研究综述[J]. 控制理论与应用, 2020, 37(1): 1-12.
	Liu Yang, Jing Yuanwei, Liu Xiaoping, et al. Survey on Finite-time Control for Nonlinear Systems[J]. Control Theory & Applications, 2020, 37(1): 1-12.