Feedback control for a class of second order hyperbolic distributed parameter systems  

作　　者：Qin FU Weiguo GU Panpan GU Jianrong WU 

机构地区：[1]School of Mathematics and Physics, Suzhou University of Science and Technology

出　　处：《Science China(Information Sciences)》2016年第9期152-160,共9页中国科学（信息科学）（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant No.11371013)

摘　　要：This paper deals with the problem of state feedback control for a class of the distributed parameter systems with the disturbance term. And the considered distributed parameter systems are composed of the second order hyperbolic partial differential equations. Two different classes of restrictions on the disturbance term are given, one is that the disturbance term satisfies the linear growth constraint condition to the state variables of the system, and the other is that the disturbance term obeys the bound constraint under the significance of L_2. Based on a variable structure method, the state feedback controllers are obtained by means of constructing appropriate Lyapunov functional. The closed-loop systems are globally asymptotically stable on W^（1,2）（0, 1） × L_2（0, 1） space under the effect of the state feedback control laws. Simulation results illustrate the effectiveness of the proposed method.This paper deals with the problem of state feedback control for a class of the distributed parameter systems with the disturbance term. And the considered distributed parameter systems are composed of the second order hyperbolic partial differential equations. Two different classes of restrictions on the disturbance term are given, one is that the disturbance term satisfies the linear growth constraint condition to the state variables of the system, and the other is that the disturbance term obeys the bound constraint under the significance of L_2. Based on a variable structure method, the state feedback controllers are obtained by means of constructing appropriate Lyapunov functional. The closed-loop systems are globally asymptotically stable on W^（1,2）（0, 1） × L_2（0, 1） space under the effect of the state feedback control laws. Simulation results illustrate the effectiveness of the proposed method.

关 键 词：state feedback globally asymptotically stable second order hyperbolic distributed parameter sys tems variable structure method Lyapunov functional 

分 类 号：O231.4[理学—运筹学与控制论]