Stabilization of Uncertain Fractional Memristor Chaotic Time⁃Delay System Based on Fractional Order Sliding Mode Control  

作　　者：Dawei Ding Fangfang Liu Nian Wang Dong Liang 

机构地区：[1]School of Electronics and Information Engineering,Anhui University,Hefei 230601,China [2]Key Laboratory of Intelligent Computing and Signal Processing,Ministry of Education,Hefei 230601,China

出　　处：《Journal of Harbin Institute of Technology(New Series)》2020年第4期74-83,共10页哈尔滨工业大学学报（英文版）

基　　金：Sponsored by the National Natural Science Foundation of China(Grant No.61201227);the Funding of China Scholarship Council,the Natural Science Foundation of Anhui Province(No.1208085M F93);the 211 Innovation Team of Anhui University(Nos.KJTD007A and KJTD001B).

摘　　要：Based on Lyapunov theorem and sliding mode control scheme,the chaos control of fractional memristor chaotic time⁃delay system was studied.In order to stabilize the system,a fractional sliding mode control method for fractional time⁃delay system was proposed.In addition,Lyapunov stability theorem was used to analyze the control scheme theoretically,which guaranteed the stability of commensurate and non⁃commensurate order systems with or without uncertainties and disturbances.Furthermore,to illustrate the feasibility of controller,the conditions for designing the controller parameters were derived.Finally,the simulation results presented the effectiveness of the designed strategy.

关 键 词：fractional order system time⁃delay chaos control uncertainty sliding mode control 

分 类 号：N93[自然科学总论]