Sliding Mode Control for Fractional Differential Systems with State-delay  

作　　者：SI Jia-fang JIANG Wei 

机构地区：[1]School of Mathematical Science,Anhui University,Hefei 230039,China

出　　处：《Chinese Quarterly Journal of Mathematics》2012年第1期117-122,共6页数学季刊（英文版）

基　　金：Supported by the National Nature Science Foundation of China（10771001）;Supported by the Special Research Fund for the Doctoral Program of the Ministry of Education of China（20093401110001）;Supported by the Major Programs of Natural Science Research in Anhui Universities（KJ2010ZD02）;Supported by the the Program of Natural Science Research in Anhui Universities（KJ2010B076）

摘　　要：The problem of sliding mode control for fractional differential systems with statedelay is considered.A novel sliding surface is proposed and a controller is designed correspondingly,such that the state starting from any initial value will move toward the switching surface and reach the sliding surface in finite time and the state variables on the sliding surface will converge to equilibrium point.And the stability of the proposed control design is discussed.The problem of sliding mode control for fractional differential systems with statedelay is considered.A novel sliding surface is proposed and a controller is designed correspondingly,such that the state starting from any initial value will move toward the switching surface and reach the sliding surface in finite time and the state variables on the sliding surface will converge to equilibrium point.And the stability of the proposed control design is discussed.

关 键 词：sliding mode control fractional differential system TIME-DELAY 

分 类 号：O231.1[理学—运筹学与控制论]