FEEDBACK STABILIZATION OF A HYBRID PDE-ODE SYSTEM - APPLICATION TO AN OVERHEAD CRANE

被引:99
作者
DANDREANOVEL, B
BOUSTANY, F
CONRAD, F
RAO, BP
机构
[1] MICHELIN,SERV PS,F-63040 CLERMONT FERRAND,FRANCE
[2] UNIV NANCY 1,DEPT MATH,F-54506 VANDOEUVRE NANCY,FRANCE
[3] CNRS,UA 750,F-54506 VANDOEUVRE NANCY,FRANCE
关键词
ASYMPTOTIC STABILIZATION; BOUNDARY CONTROL; DISTRIBUTED PARAMETER SYSTEMS; HYBRID SYSTEM; LYAPUNOV APPROACH;
D O I
10.1007/BF01211483
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper deals with the feedback stabilization of a hybrid PDE-ODE system which models an overhead crane with a flexible cable. The well-posedness of the closed-loop system is established, and asymptotic stabilization is proved, using LaSalle's Invariance Principle, for a class of nonlinear feedback laws. Estimates of the rate of decay are provided for a simplified model. Illustrative simulations are displayed.
引用
收藏
页码:1 / 22
页数:22
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