基于直流电机系统的广义同步混沌化  

GENERALIZED SYNCHRONOUS CHAOTIFICATION BASED ON DC MOTOR SYSTEMS

作　　者：张敬[1] 汤涛 方文华 李春来 丁超义[1] 安锦运 Zhang Jing;Tang Tao;Fang Wenhua;Li Chunlai;Ding ChaoYi;An Jinyun(School of Mechanical Engineering,Hunan Institute of Science and Technology,Yueyang 414006,China;School of Physics and Electronics,Hunan Institute of Science and Technology,Yueyang 414006,China;Department of Mechanical and Electronic Engineering,Nanhu College of Hunan Institute of Science and Technology,Yueyang 414006,China)

机构地区：[1]湖南理工学院机械工程学院,岳阳414006 [2]湖南理工学院物理与电子科学学院,岳阳414006 [3]湖南理工学院南湖学院机械与电子工程系,岳阳414006

出　　处：《动力学与控制学报》2020年第2期91-97,共7页Journal of Dynamics and Control

基　　金：国家自然科学基金资助项目(11602084);湖南省自然科学基金资助项目(2017JJ3096,2016JJ4036);湖南省教育厅重点科研项目(17A088)、国家级大学生创新创业训练计划平台创新训练项目(201912658003)。

摘　　要：本文对非同构系统的混沌状态同步问题进行了讨论,并对单变量单向及双向耦合和多变量耦合对各自系统动力学行为产生的影响进行了对比分析.基于广义同步混沌化的驱动控制原理,利用经典的Lorenz系统产生混沌信号去驱动永磁直流电机,使电机转速工作在混沌状态,并得到了同步控制器的解析表达式.最后,进行系统数值仿真,验证了同步控制的有效性.Synchronous chaotification of two non-identical dynamical systems by using different kinds of coupling methods was studied.The unidirectional and bidirectional coupling,single-variable coupling and multi-variable coupling were taken into account,and the differences between them were also discussed.Based on the drive control principle of generalized synchronous chaotification,the analytical expression for synchronization control was deduced,and the permanent magnet DC motor was driven by chaotic signals of Lorenz system to make the speed maintain in chaotic state.Finally,numerical simulations were carried out to verify the effectiveness of the synchronization control.

关 键 词：非同构系统 广义同步混沌化 LORENZ系统 永磁直流电机 同步控制器 

分 类 号：O415.5[理学—理论物理] TM33[理学—物理]