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

被引：0

作者：

Qin FU ^{[1
]}

Weiguo GU ^{[1
]}

Panpan GU ^{[1
]}

Jianrong WU ^{[1
]}

机构：

[1] School of Mathematics and Physics, Suzhou University of Science and Technology

来源：

Science China(Information Sciences) | 2016年 / 59卷 / 09期

基金：

中国国家自然科学基金;

关键词：

state feedback; globally asymptotically stable; second order hyperbolic distributed parameter sys tems; variable structure method; Lyapunov functional;

D O I：

暂无

中图分类号：

O231.4 [分布参数系统];

学科分类号：

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;. 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;（0, 1） × L;（0, 1） space under the effect of the state feedback control laws. Simulation results illustrate the effectiveness of the proposed method.

引用

页码：156 / 164

页数：9

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