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      • Department of Electrical and Electronics Engineering
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      Control and stabilization of a rotating flexible structure

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      Author(s)
      Morgül, Ö.
      Date
      1994
      Source Title
      Automatica
      Print ISSN
      0005-1098
      Publisher
      Elsevier
      Volume
      30
      Issue
      2
      Pages
      351 - 356
      Language
      English
      Type
      Article
      Item Usage Stats
      167
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      Abstract
      We consider a flexible beam clamped to a rigid base at one end and free at the other end. We assume that the rigid base rotates with a constant angular velocity and that the motion of the flexible beam takes place on a plane. To suppress the beam vibrations, we propose dynamic control laws for boundary control force and torque, both applied to the free end of the beam. We show that, under some conditions, one of which is the strict positive realness of the actuator transfer functions which generate the boundary control force and torque, the beam vibrations asymptotically decay to zero if the rigid base angular frequency is sufficiently small. Moreover, if the transfer functions are proper but not strictly proper, we show that the decay is exponential. We also give a bound on the constant angular velocity above which the system becomes unstable.
      Keywords
      Distributed parameter systems
      Partial differential equations
      Boundary-value problems
      Stability
      Lyapunov methods
      Permalink
      http://hdl.handle.net/11693/13627
      Published Version (Please cite this version)
      http://dx.doi.org/10.1016/0005-1098(94)90037-X
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