Dynamic boundary control of the timoshenko beam
Author(s)
Date
1992Source Title
Automatica
Print ISSN
0005-1098
Publisher
Pergamon Press
Volume
28
Issue
6
Pages
1255 - 1260
Language
English
Type
ArticleItem Usage Stats
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Abstract
We consider a clamped-free Timoshenko beam. To stabilize the beam vibrations, we propose a dynamic boundary control law applied at the free end of the beam. We prove that with the proposed control law, the beam vibrations uniformly and exponentially decay to zero. The proof uses a Lyapunov functional based on the energy of the system. © 1992.
Keywords
Boundary-value problemsDistributed parameter systems
Lyapunov methods
Partial differential equations
Stability
Boundary value problems
Differential equations
Distributed parameter control systems
Dynamics
Lyapunov methods
System stability
Vibrations (mechanical)
Beam vibratons control
Dynamic boundary control
Partial differential equations
Timoshenko beam
Beams and girders