基于最优控制的一类忆阻混沌系统的同步

Synchronization of Chua's-Circuit-Based Memristive Chaotic Systems Based on Optimal Control

本文基于线性二次型问题的最优控制理论,研究了蔡氏忆阻混沌系统的同步问题,提出了一种实现蔡氏忆阻混沌系统同步的方案。并利用李雅普诺夫稳定性定理证明了两个同构蔡氏忆阻混沌系统达到同步的充分条件。该方法能够实现控制能量消耗和同步误差的综合最优。数值仿真结果验证了文中所给方法的有效性。

This paper studies the synchronization of two identical Chua＇s-circuit-based memristive chaotic systems based on linear quadratic optimal control. A seheme is proposed to synchronize the two chaotic systems. The Lyapunov stability theorem was adopted to prove the sufficient conditions for the synchronization of the two systems. With this method, the optimization on both energy consumption and synchronization error could be realized syntheti cally. Finally,tbe simulation resuhs testified the effectiveness of the proposed metbod.