ON THE STABILIZATION OF A FLEXIBLE BEAM WITH A TIP MASS

Authors
CONRAD F MORGUL O
Citation
F. Conrad et O. Morgul, ON THE STABILIZATION OF A FLEXIBLE BEAM WITH A TIP MASS, SIAM journal on control and optimization (Print), 36(6), 1998, pp. 1962-1986
Citations number
20
Categorie Soggetti
Mathematics,"Robotics & Automatic Control",Mathematics,"Robotics & Automatic Control
Journal title
SIAM journal on control and optimization (Print) → ACNP
ISSN journal
03630129
Volume
36
Issue
6
Year of publication
1998
Pages
1962 - 1986
Database
ISI
SICI code
0363-0129(1998)36:6<1962:OTSOAF>2.0.ZU;2-U
Abstract
We study the stability of a flexible beam that is clamped at one end a nd free at the other; a mass is also attached to the free end of the b eam. To stabilize this system we apply a boundary control force at the free end of the beam. We prove that the closed-loop system is well-po sed and is exponentially stable. We then analyze the spectrum of the s ystem for a special case and prove that the spectrum determines the ex ponential decay rate for the considered case.