摘要
针对混沌系统对于初值极其敏感和类似随机难以控制的特性,本文提出了一种基于自适应校正的混沌控制的新方法.首先,分析混沌系统的固有属性,并且结合使用李雅普诺夫稳定性理论,搭建控制模型设计自适应控制器从而实现系统的同步与反同步控制,并根据李雅普诺夫稳定性理论证明了所提方法的合理性和有效性;其次,以Liu混沌系统为控制实例,进行混沌同步与反同步控制的仿真实验,所得结果表明,所提方法有效、实用,能达到较好的控制效果,便于推广和应用.
In view of the chaotic properties and uncontrollability of chaotic systems, a new method based on adaptive correction is put forward. Firstly, combining the inherent properties of chaotic systems with Lyapunov stability theory, a adaptive controller is designed to achieve the synchronous and anti-synchronous control, and then the rationality of the proposed method is analyzed and demonstrated. Secondly, Liu system is taken as an example to carry on a simulation experiment. The simulation results show that the proposed method is effective and practical, so it is easy to be promoted and applied in many fields.
出处
《新疆大学学报（自然科学版）》
CAS
北大核心
2017年第3期360-365,共6页
Journal of Xinjiang University(Natural Science Edition)
基金
国家自然科学基金(51575469)
关键词
自适应控制
李雅普诺夫理论
Liu系统
同步与反同步
混沌控制
adaptive control
Lyapunov theory
Liu system
synchronous and anti-synchronous control
chaotic control
