基于自适应控制的不同维数混沌系统同步研究

Study on synchronization of chaotic systems with different orders based on adaptive control

对不同维数混沌系统的同步问题进行了研究。在参数部分未知或完全未知的情况下,利用Lyapunov稳定性定理和自适应控制方法实现了衍生系统之间的同步以及非衍生系统之间的同步。其中针对不同维数系统中维数不对等的特点,给出了适当的自适应控制器和参数自适应律,使不同维数系统实现了不同维度的交叉同步。数值仿真结果说明了所提方法的有效性。

The paper studies the synchronization problem of chaotic systems with different orders. In the case that part of or all parameters are unknown, according to Lyapunov Stability Theory and Adap- tive Controlling Theory, the paper realizes the synchronization among derived systems and the synchro- nization among non-derived systems. For the unequal orders of different chaotic systems, the paper presents the adaptive controller and the adaptive law of parameters, thus making chaotic systems with different orders be able to synchronize with one another. Numerical simulation shows the effectiveness and feasibility of the proposal.