四川大学学报（自然科学版）2025，Vol.62Issue(3)：591-596,6.DOI:10.19907/j.0490-6756.240030
不确定分数阶混沌系统的有限时间修正函数投影同步
Finite-time modified function projective synchronization for uncertain fractional-order chaotic systems
摘要
Abstract
In this paper,the finite-time modified function projection synchronization for fractional-order cha-otic systems is investigated.A new fractional non-singular terminal sliding mode surface is given to overcome the influence of uncertainty and external disturbances on the system.Based on the fractional Lyapunov stabil-ity theory,we show that the corresponding error system can be stabilized to the equilibrium point in finite time along the sliding mode surface.Furthermore,an appropriate fractional sliding-mode control controller is designed to ensure that the error trajectory converges to the sliding surface in finite time.Numerical simula-tions of the fractional-order hyperchaotic Chen system exemplify the effectiveness and feasibility of the method.关键词
分数阶混沌系统/终端滑模控制/修正函数投影同步/不确定性/扰动Key words
Fractional-order chaotic system/Terminal sliding mode control/Modified function projection synchronization/Uncertainty/Disturbance分类
数理科学引用本文复制引用
唐晓悦,李瑞红,黄冬梅..不确定分数阶混沌系统的有限时间修正函数投影同步[J].四川大学学报（自然科学版）,2025,62(3):591-596,6.基金项目
国家自然科学基金(12172266) （12172266）
