Dynamic boundary control of the timoshenko beam
Date
1992
Authors
Morgül, Ö.
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Source Title
Automatica
Print ISSN
0005-1098
Electronic ISSN
Publisher
Pergamon Press
Volume
28
Issue
6
Pages
1255 - 1260
Language
English
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Journal Title
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Volume Title
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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.
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Keywords
Boundary-value problems , Distributed 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