Stabilization of Euler- Bernoulli Beam by A Boundary Control
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A flexible beam is considered. One end of the beam is free and another end is clamped under changeable angle, with angular velocity taken as control variable. A suitable stability criterion is introduced and the uniform exponential stabilizability is established for a linear feedback control applied at the clamped end.
KeywordsCantilever Beam Exponential Stability Nominal Position Couple Beam Flexible Beam
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- 2.G. Chen, S.G. Krantz, D.W. Ma, C.E. Wayne and H.H. West, The Euler-Bernoulli beam equation with boundary energy dissipation. In: Operator Methods for Optimal Control Problems, Sung J. Lee (ed.). Marcel Dekker, New York, 1988.Google Scholar
- 5.R. Curtain and A.J. Pritchard. Infinite dimensional linear systems theory. Lecture Notes in Control and Information Sciences 8, Springer-Verlag, New York, 1978.Google Scholar
- 7.S.G. Krantz and W.H. Paulsen, Asymptotic eigenfrequency distributions for the N-beam Euler-Bernoull i coupled beam with dissipative joints, preprint.Google Scholar
- 10.S. Timoshenko, D.H. Young and W. Weaver, Vibration problems in engineering, Wiley, New York, 1974.Google Scholar