基于微分几何方法和最优控制的混沌同步  

Synchronization of Rossler chaotic system via the differential geometry method

作　　者：李钢[1] 王水[1] 张吉泉[1] 姜明珠[1] 米佳[1] 姜珊[1] 王平[1] 

机构地区：[1]辽宁师范大学物理与电子技术学院,辽宁大连116029

出　　处：《辽宁师范大学学报（自然科学版）》2015年第2期179-183,共5页Journal of Liaoning Normal University:Natural Science Edition

摘　　要：基于微分几何方法和二次型性能指标最优控制原理研究了同结构混沌系统之间的同步问题.对于误差动力学系统的相对阶等于系统状态空间维数的情形,依据Frobenius定理确定了用于非线性坐标变换的输出函数,对误差动力学系统进行了状态反馈精确线性化而得到了线性可控的正则形,从而确定了混沌同步的控制器.以Rossler系统为例的仿真模拟,验证了该方法的有效性.The chaos synchronization between two same chaotic systems is investigated based on the differential geometry method and the optimal control theory .After nonlinear transformation accord‐ing to the Frobenius theorem by defining a proper output function of the error dynamical system for the case that the relative degree of the system is exactly equals to the order of the system ,the con‐troller can be designed by the exact feedback linearization of the error dynamical system .To demon‐strate the efficiency of the proposed scheme ,Rossler system is considered as the illustrative example .

关 键 词：混沌同步 微分几何 Ro ssler系统 最优控制 

分 类 号：O415.5[理学—理论物理]