Sliding Mode Control of Fractional-Order Memristive System  

作　　者：Dawei Ding Shujia Li Nian Wang 

机构地区：[1]School of Electronics and Information Engineering,Anhui University,Hefei 230601,China

出　　处：《Journal of Beijing Institute of Technology》2017年第3期418-426,共9页北京理工大学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(61201227);Funding of China Scholarship Council,the Natural Science Foundation of Anhui Province(1208085M F93);211 Innovation Team of Anhui University(KJTD007A and KJTD001B)

摘　　要：A sliding mode controller for a fractional-order memristor-based chaotic system is designed to address its problem in stabilization control.Firstly,aphysically realizable fractional-order memristive chaotic system was introduced,which can generate a complex dynamic behavior.Secondly,a sliding mode controller based on sliding mode theory along with Lyapunov stability theory was designed to guarantee the occurrence of the sliding motion.Furthermore,in order to demonstrate the feasibility of the controller,a condition was derived with the designed controller＇s parameters,and the stability analysis of the controlled system was tested.A theoretical analysis shows that,under suitable condition,the fractional-order memristive system with a sliding mode controller comes to a steady state.Finally,numerical simulations are shown to verify the theoretical analysis.It is shown that the proposed sliding mode method exhibits a considerable improvement in its applications in a fractional-order memristive system.A sliding mode controller for a fractional-order memristor-based chaotic system is designed to address its problem in stabilization control.Firstly,aphysically realizable fractional-order memristive chaotic system was introduced,which can generate a complex dynamic behavior.Secondly,a sliding mode controller based on sliding mode theory along with Lyapunov stability theory was designed to guarantee the occurrence of the sliding motion.Furthermore,in order to demonstrate the feasibility of the controller,a condition was derived with the designed controller＇s parameters,and the stability analysis of the controlled system was tested.A theoretical analysis shows that,under suitable condition,the fractional-order memristive system with a sliding mode controller comes to a steady state.Finally,numerical simulations are shown to verify the theoretical analysis.It is shown that the proposed sliding mode method exhibits a considerable improvement in its applications in a fractional-order memristive system.

关 键 词：fractional-order system memristive system sliding-mode control stability theory dy-namical behavior 

分 类 号：O231[理学—运筹学与控制论]