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      • Department of Electrical and Electronics Engineering
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      On the stabilization of a flexible beam with a tip mass

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      Author
      Conrad, F.
      Morgül, Ö.
      Date
      1998-11
      Source Title
      SIAM Journal on Control and Optimization
      Print ISSN
      0363-0129
      Publisher
      Society for Industrial and Applied Mathematics
      Volume
      36
      Issue
      6
      Pages
      1962 - 1986
      Language
      English
      Type
      Article
      Item Usage Stats
      123
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      147
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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.
      Keywords
      Boundary control
      Flexible structures
      Infinite dimensional systems
      Semigroup theory
      Stability
      Closed loop control systems
      Eigenvalues and eigenfunctions
      Equations of motion
      Feedback
      Mathematical models
      Stabilization
      Boundary control
      Flexible beam
      Infinite dimensional systems
      Semigroup theory
      Tip mass
      Asymptotic stability
      Permalink
      http://hdl.handle.net/11693/25324
      Published Version (Please cite this version)
      https://doi.org/10.1137/S0363012996302366
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      • Department of Electrical and Electronics Engineering 3524
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