On the stabilization of a flexible beam with a tip mass
Date
1998-11
Authors
Conrad, F.
Morgül, Ö.
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
SIAM Journal on Control and Optimization
Print ISSN
0363-0129
Electronic ISSN
Publisher
Society for Industrial and Applied Mathematics
Volume
36
Issue
6
Pages
1962 - 1986
Language
English
Type
Journal Title
Journal ISSN
Volume Title
Series
Abstract
We study the stability of a flexible beam that is clamped at one end and free at the other; a mass is also attached to the free end of the beam. 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-posed and is exponentially stable. We then analyze the spectrum of the system for a special case and prove that the spectrum determines the exponential decay rate for the considered case.
Course
Other identifiers
Book Title
Keywords
Boundary control , Flexible structures , Infinite dimensional systems , Semigroup theory , Stability , Closed loop control systems , Eigenvalues and eigenfunctions , Equations of motion , Feedback , Mathematical models , Stabilization , Boundary control , Flexible beam , Infinite dimensional systems , Semigroup theory , Tip mass , Asymptotic stability