Parametric control of flexible systems

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Abstract

One position sensor, a bilinear observer, and quadratic, observer-based feedback to a parametric actuator asymptotically stabilize n-modes of a flexible system. Using a perturbation approach, the transient and forced response of a controlled mode are approximated. The decay rate and resonance amplitude are related to the control gains, initial conditions, and forcing amplitude. A forced spillover instability is discovered that can destabilize uncontrolled modes with insufficient damping. A control bound is determined, based on the damping coefficients and frequencies of the modes, that prevents this instability. Experiments on a tension-controlled, pinned-pinned beam demonstrate that parametric control provides substantially faster transient decay and constrained response at resonance.

Original languageEnglish (US)
Pages (from-to)379-385
Number of pages7
JournalJournal of Vibration and Acoustics, Transactions of the ASME
Volume116
Issue number3
StatePublished - Jul 1994

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Mechanical Engineering
  • Mechanics of Materials
  • Acoustics and Ultrasonics

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