✦ LIBER ✦

On parameter identification for distributed systems using Galerkin's criterion

✍ Scribed by Michael P. Polis; Raymond E. Goodson; Michael J. Wozny

Publisher: Elsevier Science
Year: 1973
Tongue: English
Weight: 926 KB
Volume: 9
Category: Article
ISSN: 0005-1098
DOI: 10.1016/0005-1098(73)90012-5

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✦ Synopsis

A particular method, based on Galerkin's Criterion, provides efficient algorithms for identifying distributed system parameters by reducing the partial differential equations to a set of ordinary differential equations containing the parameters.

Summary--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.

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