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Construction of the Control Realizing the Rotation of a Timoshenko Beam

Author

Listed:
  • V. I. Kororbov

    (Szczecin University
    Kharkov State University)

  • W. Krabs

    (Technische Universität Darmstadt)

  • G. M. Skylar

    (Szczecin University
    Kharkov State University)

Abstract

We consider the linear model of a slowly rotating Timoshenko beam in a horizontal plane whose moment is controlled by the angular acceleration of the disk of the driving motor into which the beam is clamped. This work complements our previous results on the controllability of the beam from a position of rest into another position of rest; we give a method of construction of a piecewise constant control solving the problem.

Suggested Citation

  • V. I. Kororbov & W. Krabs & G. M. Skylar, 2000. "Construction of the Control Realizing the Rotation of a Timoshenko Beam," Journal of Optimization Theory and Applications, Springer, vol. 107(1), pages 51-68, October.
    • Handle: RePEc:spr:joptap:v:107:y:2000:i:1:d:10.1023_a:1004652615867
    DOI: 10.1023/A:1004652615867
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    Cited by:

    1. G. M. Sklyar & J. Woźniak, 2015. "Construction of an Optimal Rest-to-Rest Control of a Rotating Beam," Journal of Optimization Theory and Applications, Springer, vol. 165(3), pages 1006-1021, June.

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