On Problems of Parameter Identification for Distributed Systems with Results Using Galerkin's Criterion.

Abstract

A method is presented for estimating parameters in distributed parameter systems. The system is assumed to be modeled by a set of partial differential equations whose form is known to within a set of unknown constant parameters. Galerkin's Method is used to transform the partial differential equations into a set of ordinary differential equations. The approach to the identification problem is given in a step by step procedure. Three optimization schemes for estimating the unknown parameters are discussed. They are a steepest descent method, a search technique and nonlinear filtering. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1972
Accession Number
AD0740214

Entities

People

  • Michael J. Wozny
  • Michael P. Polis
  • Raymond E. Goodson

Organizations

  • Purdue University

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Filtration
  • Identification
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations
  • Steepest Descent Method

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Calculus or Mathematical Analysis