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基于遗传算法的统一混沌系统的同步研究 被引量:1

Synchronization of Unified Chaotic Systems Based on Genetic Algorithm
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摘要 混沌同步是当代非线性与控制学科中的一个热点问题。统一混沌系统为研究对象,将遗传算法和反馈同步法相结合,在同步混沌的过程中,针对反馈同步法在整定反馈增益矩阵时存在的困难,利用遗传算法对反馈增益矩阵进行动态地调整优化。还通过遗传算法使响应系统中的参数收敛于驱动系统中的未知参数。数值仿真实验表明,在驱动系统参数未知的情况下,响应系统能在短时间内或仅通过单个反馈增益变量实施反馈实现与驱动系统的同步,且其参数也能收敛于驱动系统中的未知参数。从而说明,文中所述方法的有效性。 Chaotic synchronization is a hot spot in nonlinear and control science at present. Taking the unified chaotic system as the research object, this paper combines genetic algorithm with chaotic synchronization by feedback. In the process of chaotic synchronization by feedback, it is difficult to obtain a finer feedback gain matrix. So the paper uses genetic algorithm to adjust and optimize the feedback gain matrix dynamically, and to estimate the unknown parameter in the drive system. Numerical simulation illustrates that, though the parameter in the drive system is unknown, the synchronization of unified chaotic systems is accomplished in a short time or by adjusting only a feedback gain parameter. Furthermore, the parameter in the response system converges to the uncertain one in the drive system. Therefore the method in the paper is effective.
出处 《计算机仿真》 CSCD 北大核心 2009年第6期355-358,共4页 Computer Simulation
关键词 混沌同步 遗传算法 统一混沌系统 Chaotic synchronization Genetic algorithm Unified chaotic system
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