摘要
首次将分数阶算子引入到An系统中,通过数值仿真的研究,采用分数阶系统的稳定性定理,对分数阶An系统的动力学特性进行了详细的分析,计算出该系统处于混沌态时的阶数范围。将线性反馈控制法和参数周期扰动法应用到分数阶混沌系统的控制中,通过对参数的调整设计出合理控制器,实现了分数阶An系统的控制。
Fractional-order operators are introduced into An system for the first time.Through numerical simulation,the stability theorem of fractional order system is used to analyze the dynamic characteristics of fractional order An system in detail,and the order range of the system is calculated when the system is in chaos state.The linear feedback control method and the parameter periodic perturbation method are applied to the control of fractional order chaotic system,and a reasonable controller is designed by adjusting the parameters to realize the control of fractional order An system.
作者
李贤丽
盖奕霖
温玉玉
朱金元
汤俊杰
LI Xianli;GAI Yilin;WEN Yuyu;ZHU Jinyuan;TANG Junjie(College of Electronics Science,Northeast Petroleum University,Daqing 163318,China)
出处
《电子设计工程》
2020年第24期182-187,共6页
Electronic Design Engineering
关键词
分数阶系统
An系统
混沌控制
线性反馈控制
参数周期扰动法
fractional-ordersystem
An system
chaos control
linear feedback control
parameter periodic perturbation method
