On the Stabilization of a Flexible Beam with a Tip Mass

Authors:
Francis Conrad;Ömer Morgül
Affiliations:
-;-
Venue:
SIAM Journal on Control and Optimization
Year:
1998

Citing 0
Cited 4

Boundary Feedback Stabilization of a Variant of the SCOLE Model

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On Spectrum of a General Petrovsky Type Equation and Riesz Basis of N-Connected Beams with Linear Feedback at Joints

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A Hybrid Symbolic-Numerical Simulation Method for Some Typical Boundary Control Problems

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Optimal Energy Decay for a Nonhomogeneous Flexible Beam with a Tip Mass

Journal of Dynamical and Control Systems

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Abstract

We study the stability of a flexible beam that is clamped at one end and free at the other; a mass is also attached to the free end of the beam. To stabilize this system we apply a boundary control force at the free end of the beam. We prove that the closed-loop system is well-posed and is exponentially stable. We then analyze the spectrum of the system for a special case and prove that the spectrum determines the exponential decay rate for the considered case.