Rational Approximations of Transfer Functions of Some Viscoelastic Rods, with Applications to Robust Control.

Abstract

We study rational approximations of the transfer function P of a uniform or nonuniform viscoelastic rod undergoing torsional vibrations that are excited and measured at the same end. The approximation is to be carried out in a way that is appropriate, with respect to stability and performance, for the construction of suboptimal rational stabilizing compensators for the rod. Convergence suitable for our problem requires the introduction of a new irrational convergence factor, which must be approximated separately. Some numerical data illustrating all the stages of the process as well as the final results for various viscoelastic constitutive relations are presented.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1992
Accession Number
ADA325285

Entities

People

  • K. B. Hannsgen
  • O. J. Staffans
  • R. L. Wheeler

Organizations

  • Helsinki University of Technology

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Closed Loop Systems
  • Computational Science
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Frequency
  • Materials
  • Mathematics
  • Mechanical Properties
  • Numbers
  • Path Integrals
  • Rational Functions
  • Scientific Research
  • Square Roots
  • Standards
  • Transfer Functions

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Control Systems Engineering.
  • Structural Dynamics.