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一类混沌系统的滑模控制及其在安全通信中应用

Sliding Mode Control of a Class of Chaotic Systems and Its Application in Secure Communication
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摘要 混沌序列表现出来的特征与密码学非常相似,非常适合于安全通信中的信号加密。这种加密方案都是基于混沌同步控制的技术。现有的自适应滑模同步控制虽然能达到混沌同步控制的效果,但是造成了系统结构复杂化,同时还存在稳定性差等问题。为了简化系统的结构,同时确保系统的稳定性,基于主从控制技术研究了一类混沌系统的滑模同步控制并在安全通信中开展应用。首先,通过构建Lyapunov函数从理论上证实了系统同步稳定性的条件。其次,根据驱动系统只有一个控制器的结构特点,选择滑模控制设置合适的参数实现了Loren混沌系统的同步控制。再次,结合混沌掩盖技术将该方案应用到安全通信中。最后进行了数值仿真,结果表明系统在2.2 s左右实现了同步,并且混沌加密的信号经过同步信号解密后与原信号完全一致,数值仿真结果验证了方案的正确性。 The chaotic sequences exhibit characteristics very similar to cryptography,and are very suitable for signal encryption in secure communication.Such encryption schemes are all based on chaotic synchronization control technology.Existing adaptive sliding mode synchronization control can achieve the effect of chaotic synchronization control,but it causes the complexity of the system structure and poor stability.Considering the simplified system structure and system stability,based on the master-slave control technology,the sliding mode synchronization control of a class of chaotic system is studied and applied in the security communication.Firstly,the conditions of synchronous stability of the system are theoretically proved by constructing Lyapunov function.Secondly,according to the structure of drive system with only one controller,the synchronization control of Loren chaotic system is realized by selecting appropriate parameters of sliding mode control.Thirdly,the scheme is applied to secure communication with chaotic masking technology.Finally,the numerical simulation results show that the synchronization of the system is achieved in about 2.2 s,and the chaotic encrypted signal is completely consistent with the original signal after the synchronization signal is decrypted.The numerical simulation results verify the correctness of the scheme.
作者 蒋逢灵 伍丰 刘晓桂 刘沅明 褚衍廷 Jiang Fenging;Wu Feng;Liu Xiaogui;Liu Yuanming;Chu Yanting(School of Railway Power Supply and Electrical Engineering,Hunan Vocational College of Railway Technology,Zhuzhou,Hunan 412006,China;Hunan Highspeed Railway Engineering and Technology Research Center for Operating Safety,Zhuzhou,Hunan 412006,China)
出处 《机电工程技术》 2024年第10期123-126,共4页 Mechanical & Electrical Engineering Technology
基金 湖南省自然科学基金资助项目(2022JJ60009,2022JJ50097) 湖南省教育厅科学研究资助项目(21C1315)。
关键词 LORENZ混沌系统 滑模控制 安全通信 主从控制 混沌加密 Lorenz chaotic system sliding mode control secure communication master slave control chaos encryption
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