Approximations of Thermoelastic and Viscoelastic Control Systems

Abstract

This paper deals with the development and analysis of well-posed models and computational algorithms for control of a class of partial differential equations that describe the motions of thermo-viscoelastic structures. We first present an abstract state space framework and a general well-posedness result that can be applied to a large class of thermo-elastic and thermo-viscoelastic models. This state space framework is used in the development of a computational scheme to be used in the solution of an LQR control problem. A detailed convergence proof is provided for the viscoelastic model and several numerical results are presented to illustrate the theory and to analyze problems for which the theory is incomplete. Keywords: Thermoelastic systems, Control systems, Approximation(Mathematics).

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1990
Accession Number
ADA225292

Entities

People

  • John A. Burns
  • R. E. Miller
  • Z. Y. Liu

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Boundaries
  • Computational Fluid Dynamics
  • Computational Science
  • Contracts
  • Control Systems
  • Differential Equations
  • Engineering
  • Equations
  • Functional Analysis
  • Generators
  • Hilbert Space
  • Integrals
  • Intervals
  • Mathematics
  • Partial Differential Equations

Fields of Study

  • Engineering
  • Mathematics

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  • Control Systems Engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)

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