基于微分几何方法的高维混沌系统间的复合同步控制  

Compound synchronization control between high dimensional chaotic systems based on differential geometry method

作　　者：李钢[1] 唐陶 郭秀月 刘卓 李莹 LI Gang;TANG Tao;GUO Xiuyue;LIU Zhuo;LI Ying(School of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, China)

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）》2020年第2期174-178,共5页Journal of Liaoning Normal University:Natural Science Edition

摘　　要：基于多入多出的微分几何方法提出了一个高维混沌系统间的同步方法.通过适当调节系统的相对阶和非线性坐标变换,将误差动力学系统转换为线性子系统与零动态子系统,使零动态子系统的收敛以独立设计的方式来确定外部控制的形式.以高维Lorenz型混沌系统为例设计了混沌同步的控制方案,其中,零动态的收敛采用了滑膜控制方法.模拟仿真验证了方案的有效性,可被应用于其他类型的混沌同步控制.A control method is proposed for the complete synchronization between the two high-dimensional chaotic systems based on the MIMO differential geometry.The system relative order is adjusted appropriately so that the error dynamics system can be transformed into a linear subsystem and a zero dynamic subsystem by the nonlinear coordinate transformation in which the controller of the zero dynamic subsystem can be designed independently to form the external control.A control scheme is designed for a high dimensional Lorenz type chaos system as an example in which the zero dynamic subsystem is controlled by sliding mode method.Simulation results show the effectiveness.It can be applied to the other types of chaos synchronization.

关 键 词：混沌同步 高维混沌系统 微分几何 相对阶 零动态 

分 类 号：O415.5[理学—理论物理]