摘要
根据分数阶微积分的相关理论,采用自适应滑模控制方法,研究了不确定分数阶四翼混沌系统的滑模错位同步控制问题和比例积分滑模同步问题,给出了驱动–响应系统取得同步的充分条件,结果表明:选取适当的控制律和滑模面,分数阶四翼系统的驱动–响应系统取得混沌同步。
The problem of sliding model dislocated synchronization and sliding mode synchronization with proportional integral of a class of uncertainty four-wing fractional-order chaotic systems is studied using self-adaptive sliding mode control approach based on fractional-order calculus theory. The sufficient conditions are arrived for the fractional-order systems sliding mode synchronization. The research conclusion illustrated the master-slave systems of four-wing fractional-order chaotic systems is sliding mode chaos synchronization under proper controllers and sliding mode surface.
出处
《应用数学进展》
2020年第10期1693-1700,共8页
Advances in Applied Mathematics
关键词
分数阶
四翼混沌系统
积分滑模
错位同步
Fractional-Order
Four-Wing Chaotic Systems
Integral Sliding Model
Dislocated Synchronization
