Journal of Optimization Theory and Applications

, Volume 107, Issue 1, pp 51-68

First online:

Construction of the Control Realizing the Rotation of a Timoshenko Beam

  • V. I. KororbovAffiliated withInstitute of Mathematics, Szczecin UniversityDepartment of Differential Equations and Control, Kharkov State University
  • , W. KrabsAffiliated withTechnische Universität Darmstadt
  • , G. M. SkylarAffiliated withInstitute of Mathematics, Szczecin UniversityDepartment of Mathematical Analysis, Kharkov State University

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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.

Timoshenko beam controllability moment problem piecewise constant control