Accession Number:

ADA443714

Title:

Convergence of Approximations in Feedback Control of Structures

Descriptive Note:

Corporate Author:

NORTH CAROLINA STATE UNIV AT RALEIGH CENTER FOR RESEARCH IN SCIENTIFIC COMPUTATION

Personal Author(s):

Report Date:

1998-01-01

Pagination or Media Count:

16.0

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.

Subject Categories:

  • Numerical Mathematics
  • Structural Engineering and Building Technology
  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE