一类超混沌系统的自适应控制同步算法

本文运用理论分析与仿真实验相结合的手段，研究了一类超混沌系统的自适应控制同
步问题。所研究的超混沌系统为一含负电容的四阶自治超混沌电路。运用自适应控制原理，针对所给出的超混沌系统设计了超混沌自适应控制算法。运用线性化方法及稳定性理论，将自适应控制同步问题转化为误差的稳定性问题。对控制算法中关键参数的选取进行了理论分析，在此基础上，对控制算法进行数值仿真验证，结果表明了所设计超混沌自适应控制器的有效性。
关键词：超混沌，自适应控制，同步1
Abstract: In this paper, the problem of adaptive control and synchronization for
a kind of hyper-chaos system constructed by order autonomous-circuit including
negative capacitor simulation is researched. The adaptive controller for
hyper-chaos system based on adaptive theory is presented. Through linearization and
stability theory, the control and synchronization problem could be transformed to
the one of error analyzing. And the numerical simulation is carried out on the bases
of theory analysis with the key parameters chosen.The results illustrated that the
algorithm is effective.
Key Words: Hyper-chaos, Adaptive control, Synchronization