摘要
为解决一类时滞三角型混沌系统的同步控制问题,设计了时滞三角型混沌系统,并通过分岔图、Poincare映射、功率谱分析和最大Lyapunov指数计算分析了混沌动力学特性。并在此基础上,提出了时滞三角型不确定混沌系统的滑模自适应同步控制方法,利用滑模控制和自适应控制相结合的方法提出了单维同步控制器的设计。数字仿真表明,时滞三角型混沌系统的滑模自适应同步控制是有效的。
To study synchronization control of delayed triangle chaotic systems, a delayed triangle chaotic system is designed and its chaotic dynamics is analyzed by the bifurcation diagram, Poincare map, power spectrum, the largest Lyapunov exponent and so on. The sliding-mode adaptive synchronization control scheme is proposed for the delayed triangle uncertain chaotic system. On the basis of the proposed chaotic systems, combining with the sliding mode control, the adaptive control technique is applied to achieve a single dimension signal controller. The experimental results show that the proposed sliding-mode adaptive synchronization control scheme can realize chaotic synchronization for the delayed triangle uncertain chaotic system.
出处
《吉林大学学报（信息科学版）》
CAS
2013年第1期18-24,共7页
Journal of Jilin University（Information Science Edition）
基金
中央高校基本科研业务费专项资金资助项目(YB201213)
关键词
时滞三角型混沌系统
同步控制
滑模控制
自适应控制
delayed triangle chaotic system
synchronization control
sliding mode control
adaptive control
