LQR Control of Shell Vibrations Via Piezoceramic Actuators.

Abstract

A model-based LQR method for controlling vibrations in cylindrical shells is presented. Surface mounted piezoceramic patches are employed as actuators which leads to unbounded control input operators. Modified Donnell-Mushtari shell equations incorporating strong or Kelvin-Voigt damping are used to model the system. The model is then abstractly formulated in terms of sesquilinear forms. This provides a framework amenable for proving model well posedness and convergence of LQR gains using analytic semigroup results combined with LQR theory for unbounded input operators. Finally, numerical examples demonstrating the effectiveness of the method are presented.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1997
Accession Number
ADA325287

Entities

People

  • R. C. Del Rosario
  • R. C. Smith

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies
  • Sensors

DTIC Thesaurus Topics

  • Actuators
  • Boundaries
  • Computational Science
  • Convergence
  • Equations
  • Fluid Mechanics
  • Frequency
  • Galerkin Method
  • Geometry
  • Materials
  • Mathematics
  • Mechanics
  • Modulus Of Elasticity
  • Piezoelectric Effect
  • Riccati Equation
  • Standing Waves
  • Vibration

Readers

  • Mathematical Modeling and Probability Theory.
  • Robotics and Automation.
  • Structural Dynamics.