摘要
针对一个新的结构简单的四翼混沌系统,对其混沌特性、可实现性,以及带有扰动的同步控制问题进行了研究。通过分析系统的相轨迹图、功率谱、分岔图、李雅普诺夫指数谱、庞加莱截面图验证了新系统的混沌特性。参数变化时,新系统的混沌特性更为丰富。通过设计新系统的电子电路并于Multisim软件中进行模拟,证实了系统的可实现性。针对带有外部扰动的混沌系统之间的同步问题,采用滑模控制的方法设计了滑模控制器,实现了系统有限时间内同步。
Aiming at a new four-wing chaotic system with simple structure, the chaotic characteristics, realizability and synchronization control with disturbance are studied. The chaotic characteristics of the new system are verified by analyzing the phase trajectory diagram, power spectrum, bifurcation diagram, Lyapunov exponent spectrum and Poincare section diagram of the system. The chaotic characteristics of the system are more abundant when the parameters change. The electronic circuit of the new system is designed and simulated by Multisim software, which proves the realizability of the system. Aiming at the synchronization problem between chaotic systems with external disturbances, a sliding mode controller is designed by using sliding mode control method, which realizes the synchronization of chaotic systems in finite time.
作者
颜闽秀
徐辉
YAN Min-xiu;XU Hui(College of Information Engineering,Shenyang University of Chemical Technology,Shenyang 110142,China;Key Laboratory for Industrial Environment-resources Cooperative Control and Optimization Technology,Shenyang University of Chemical Technology,Shenyang 110142,China)
出处
《控制工程》
CSCD
北大核心
2021年第4期681-686,共6页
Control Engineering of China
基金
中国-马其顿政府间科技合作项目(Grant No.[2017] 25:5 5)
辽宁省教育厅项目(LZ2016006)。
关键词
四翼混沌系统
混沌系统电子电路
有限时间滑模同步
Four-wing chaotic system
electronic circuit of chaotic system
finite-time sliding mode synchronization
