基于鲁棒控制的不确定性混沌系统的同步化

Synchronization of Uncertain Chaotic Systems Based on Robust Control

摘要: 研究了两个不确定性混沌系统的同步化问题．由于受到外界因素的干扰，混沌系统的参数会在一定范围内变化，从而导致其不确定性的产生．以两个相互耦合的不确定性混沌系统为研究模型，基于鲁棒控制，提出了同步方案．采用Lyapunov-Krasovskii稳定性理论和线性矩阵不等式（LMI），严格证明了该方案的有效性．同时，给出了以Chuas电路为例的数值仿真，其结果与理论推导相一致．

Abstract: The synchronization issue of two uncertain chaotic systems is investigated.Parameters of a chaotic system will vary in a given scope if there are some external disturbances,and then the uncertainty is introduced.The model of two intercoupling uncertain chaotic systems is studied.Based on robust control,a synchronization scheme is proposed.Using the Lyapunov-Krasovskii stability theorem and linear matrix inequalities(LMIs),the scheme developed here is proved to be effective.Finally,we take the Chua's circuit for illustration and verification.