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

Authors
DANDREANOVEL B BOUSTANY F CONRAD F RAO BP
Citation
B. Dandreanovel et al., FEEDBACK STABILIZATION OF A HYBRID PDE-ODE SYSTEM - APPLICATION TO ANOVERHEAD CRANE, MCSS. Mathematics of control, signals and systems, 7(1), 1994, pp. 1-22
Citations number
22
Categorie Soggetti
Controlo Theory & Cybernetics","Engineering, Eletrical & Electronic",Mathematics,"Robotics & Automatic Control
Journal title
MCSS. Mathematics of control, signals and systems → ACNP
ISSN journal
09324194
Volume
7
Issue
1
Year of publication
1994
Pages
1 - 22
Database
ISI
SICI code
0932-4194(1994)7:1<1:FSOAHP>2.0.ZU;2-I
Abstract
This paper deals with the feedback stabilization of a hybrid PDE-ODE s ystem which models an overhead crane with a flexible cable. The well-p osedness of the closed-loop system is established, and asymptotic stab ilization is proved, using LaSalle's Invariance Principle, for a class of nonlinear feedback laws. Estimates of the rate of decay are provid ed for a simplified model. Illustrative simulations are displayed.