基于参数自适应方法的统一混沌系统的同步控制

基金项目: 湖南省自然科学基金资助项目（01JJY2110）

详细信息

Synchronization Control for Unified Chaotic Systems Based on Parameter Adaptive Method

School of Information Science and Engineering, Central South University, Changsha 410083, China

摘要: 采用参数自适应控制方法，根据Lyapunov稳定性原理，通过构造适当的控制函数和设计参数的自适应控制律，分别实现了系统在不同确定参数和相同不确定参数两种情况下的统一混沌系统的同步．导出在这两种情况下的统一混沌系统能实现同步的充分条件．相同不确定参数情况下的同步系统控制器结构更简单、同步性能更优．数值仿真证明了该方法的有效性．
- 统一混沌系统 /
- 混沌同步 /
- 自适应控制 /
- 不确定参数
Abstract: A parameter adaptive control approach is applied. According to Lyapunov stability theorem, synchronization of two unified chaotic systems with the different certain parameters or the same uncertain parameters are implemented through designing proper control functions and using parameters adaptive control principle. The sufficient synchronization conditions of the two unified chaotic systems are obtained. In the condition of same uncertain parameters, the synchronization system has simpler controller and better performance. Numerical simulation shows the effectiveness of the method.
- unified chaotic system /
- chaos synchronization /
- adaptive control /
- uncertain parameter

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