Dynamic boundary control of a Euler-Bernoulli beam
- 1 May 1992
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 37 (5) , 639-642
- https://doi.org/10.1109/9.135504
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 IEEKeywords
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