摘要
基于分数阶时滞非线性系统稳定性理论,设计线性反馈控制器实现分数阶时滞混沌系统的控制;基于矩阵配置控制器的设计方法,利用时滞分离法实现参数未知的分数阶时滞混沌系统的同步。以分数阶时滞复Lorenz系统为例进行了研究,分别分离原系统各个变量的实部和虚部,将其转换为分数阶时滞非线性系统,研究其混沌特性,实现了混沌系统的控制,以及利用矩阵配置控制器的设计方法实现了参数未知的混沌系统的同步,数值仿真验证了结果的有效性,易于工程实现。
Based on the stability theorem of the fractional nonlinear system with time-delay,the stability control of fractional chaotic system with time-delay can be realized by linear feedback controller design. Based on the method of the matrix configuration controller design,the synchronization of fractional chaotic system with unknown parameters can be realized by using the method of delay separation. This paper took fractional complex Lorenz system with time-delay as an example,seperated the real part and imaginary part of each variable of original system to study their chaotic characteristics and chaotic control. Besides,it realized chaotic system synchronization with unknown parameters of system by using matrix configuration method. Numerical simulation confirms the efficiency of the two designed controllers.
出处
《计算机应用研究》
CSCD
北大核心
2017年第3期730-733,共4页
Application Research of Computers
基金
中央高校业务基金重大项目(106112014CDJZR188801)
重庆市前沿与应用基础研究项目(cstc2014jcyj A40037)
关键词
分数阶
时滞系统
混沌系统
线性反馈控制
未知参数
同步
fractional order
time-delay system
chaotic system
linear feedback control
unknown parameters
synchronization
