Convergence of Approximations in Feedback Control of Structures

Abstract

Convergence of linear quadratic regulator (LQR) problems in structures is discussed The abstract formulation of the system using a variational framework based on sesquilinear forms is considered. Since convergence theorems require uniform stabilizability of the finite dimensional approximating system, we present a detailed proof of a fundamental lemma due to Banks and Ito which can be used to easily verify this condition for many applications. Existing results for the well posedness of the infinite dimensional system and convergence of Galerkin approximations are summarized.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1998
Accession Number
ADA443714

Entities

People

  • H. Thomas Banks
  • R. C. Del Rosario

Organizations

  • North Carolina State University

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Availability
  • Classification
  • Computations
  • Contracts
  • Convergence
  • Feedback
  • Information Operations
  • Instructions
  • Monitoring
  • North Carolina
  • Regulators
  • Security
  • Standards

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Control Systems Engineering.
  • Mathematical Modeling and Probability Theory.