Boundary stabilization of hyperbolic systems related to overhead cranes
Boundary stabilization of hyperbolic systems related to overhead cranes
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DOI：
10.1093/imamci/dnm031
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发表时间：
2007-05
期刊：
影响因子：
--
通讯作者：
H. Sano
中科院分区：
文献类型：
--
作者：
H. Sano
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.
