时滞三角型混沌系统的滑模自适应同步控制方法

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。

Sliding-Mode Adaptive Synchronization Control for Delayed Triangle Chaotic System

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 slidingmode 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.