Boundary stabilization of hyperbolic systems related to overhead cranes

被引：11

作者：

Sano, Hideki ^{[1
]}

机构：

[1] Kagoshima Univ, Comp & Commun Ctr, Kagoshima 8900065, Japan

来源：

IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION | 2008年 / 25卷 / 03期

关键词：

hyperbolic system; overhead crane; C(0)-semigroup; asymptotic stability; LaSalle's invariance principle;

D O I：

10.1093/imamci/dnm031

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we treat the problem of stabilizing a flexible cable with two rigid loads which is described by two kinds of hyperbolic equations. From the engineering point of view, the model can be regarded as a distributed parameter overhead crane which conveys two loads simultaneously. In this, the mass of the cart is assumed to be not zero. After deriving a control law which does not increase an energy defined for the model, we prove the asymptotic stability of the closed-loop system by using the LaSalle's invariance principle. The stabilization problem is also discussed for the case of the system with one rigid load.

引用

页码：353 / 366

页数：14

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