摘要
基于实现一类参数未知三维分数阶混沌系统有限时间追踪控制的目的,采用分数阶系统稳定性地理对分数阶Zhang混沌系统进行了动力学性质分析,采用有限时间控制法设计了一个自适应有限时间追踪控制器,通过理论计算和MATLAB数值仿真,验证了该控制器的有效性,实现了参数未知分数阶混沌系统的自适应有限时间追踪控制;在保持系统各个参数不变的情况下加入外部随机扰动,通过MATLAB数值仿真可知,该控制器具有抗干扰性。
In order to realize the finite time tracking control of a class of three⁃dimensional fractional order chaotic systems with unknown parameters,the dynamic properties of the fractional order Zhang chaotic system are analyzed by using the stability of the fractional order system.An adaptive finite time tracking controller is designed by using the finite time control method.The effectiveness of the controller is verified by theoretical calculation and MATLAB numerical simulation.The adaptive finite time tracking control of fractional order chaotic system with unknown parameters is proposed.The external random disturbance is added while keeping the parameters of the system unchanged.Through MATLAB numerical simulation,it is concluded that the controller has anti⁃interference performance.
作者
李贤丽
汤俊杰
朱金元
温玉玉
LI Xianli;TANG Junjie;ZHU Jinyuan;WEN Yuyu(School of Physics and Electronic Engineering,Northeast Petroleum University,Daqing 163318,China)
出处
《电子设计工程》
2022年第3期131-135,共5页
Electronic Design Engineering
关键词
有限时间控制
追踪控制
自适应控制
分数阶混沌
finite time control
tracking control
adaptive control
fractional order chaos
