Dynamic Boundary Control of a Euler-Bernoulli Beam

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Dynamic Boundary Control of a Euler-Bernoulli Beam.pdf (320.83 KB)

Date

1992

Authors

Morgül, Ö.

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Source Title

IEEE Transactions on Automatic Control

Print ISSN

0018-9286

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Publisher

Institute of Electrical and Electronics Engineers

Volume

37

Issue

5

Pages

639 - 642

Language

English

Type

Article

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Abstract

We consider a flexible beam clamped to a rigid base at one end and free at the other end. To stabilize the beam vibrations, we propose a dynamic boundary force control and a dynamic boundary torque control applied at the free end of the beam. We prove that with the proposed controls, the beam vibrations decay exponentially. The proof uses a Lyapunov functional based on the energy functional of the system. © 1992 IEEE

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Keywords

Control, Mechanical Variables - Torques, Dynamics, Equations of Motion, Mathematical Techniques - Eigenvalues and Eigenfunctions, Vibrations, Beam Vibrations, Dynamic Boundary Control, Euler-Bernoulli Beam, Flexible Beam, Lyapunov Functional, Beams and Girders

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http://hdl.handle.net/11693/26154

Published Version (Please cite this version)

http://dx.doi.org/10.1109/9.135504

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Scholarly Publications - Electrical and Electronics Engineering