Synchronization of uncertain fractional-order chaotic systems with disturbance based on a fractional terminal sliding mode controller

作     者：王东风 张金营 王晓燕 

作者机构：Hebei Engineering Research Center of Simulation & Optimized Control for Power Generation (North China Electric Power University) 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2013年第22卷第4期

页      面：178-184页

核心收录：

学科分类：07[理学] 070105[理学-运筹学与控制论] 0805[工学-材料科学与工程（可授工学、理学学位）] 070201[理学-理论物理] 0704[理学-天文学] 0701[理学-数学] 0702[理学-物理学] 

基　　金：Project supported by the Fundamental Research Funds for the Central Universities of China (Grant No. 11MG49) 

主　　题：fractional-order chaotic system synchronization terminal sliding mode control uncertainty disturbance 

摘      要：This paper provides a novel method to synchronize uncertain fractional-order chaotic systems with external disturbance via fractional terminal sliding mode control. Based on Lyapunov stability theory, a new fractional-order switching manifold is proposed, and in order to ensure the occurrence of sliding motion in finite time, a corresponding sliding mode control law is designed. The proposed control scheme is applied to synchronize the fractional-order Lorenz chaotic system and fractional-order Chen chaotic system with uncertainty and external disturbance parameters. The simulation results show the applicability and efficiency of the proposed scheme.