超混沌Lü系统同步控制与应用 |
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引用本文: | 郭栋,白超.超混沌Lü系统同步控制与应用[J].计算机测量与控制,2022,30(8):103-110. |
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作者姓名: | 郭栋 白超 |
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作者单位: | 陕西国防工业职业技术学院 陕西 西安, |
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基金项目: | 博士后面上科学基金(2020M673349) |
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摘 要: | 为提高混沌系统在加密算法的不可预测性和同步性能,采用状态反馈控制方法构造了一个新的超混沌Lü系统,通过分析该系统的平衡点性质、李亚普诺夫指数、功率谱和耗散性等指标证明了混沌吸引子的存在性,验证了所提超混沌系统具有更复杂的动力学行为;根据李亚普诺夫稳定原理,从理论上讨论了状态反馈控制方法实现超混沌同步的充分必要条件,并根据其条件进一步构造了超混沌Lü系统状态反馈同步控制器,仿真结果表明所提同步方案具有良好的噪声鲁棒性,并利用硬件电路实验验证了同步结果的正确性;将所提的超混沌Lü系统和对应的同步方案应用于保密通信方案中,展现出了所提方案的工程应用潜力。
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关 键 词: | 混沌系统 超混沌Lü系统 动力学行为 Lyapunov稳定原理 保密通信 |
收稿时间: | 2022/3/3 0:00:00 |
修稿时间: | 2022/3/31 0:00:00 |
Synchronization for a Hyper-chaotic Lv System and its Application |
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Abstract: | In order to improve the unpredictability and synchronization performance of chaotic system in encryption algorithm, a hyper-chaotic Lü system with hyper-chaotic attractors has been proposed. The Lyapunov exponent spectrum and power spectrum are analyzed to demonstrate that attractors are indeed hyper-chaotic. In addition, basing on Lyapunov theory, we propose the sufficient and necessary conditions of state feedback control method to achieve hyper-chaotic synchronization in theoretically. The state feedback controller is designed for the hyper-chaotic Lü system with these conditions. The simulation results are consistent with the experimental results, which prove that the analysis is correct. Finally, the hyper-chaotic Lü system is applied to the secure communication system and shows the application potential in engineering. |
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