Identification of Distributed Parameter Systems Using Finite Differences

[+] Author and Article Information
P. L. Collins

Guidance and Navigation Technology, Aerospace Group, The Boeing Company, Seattle, Wash.

H. C. Khatri

Catholic University of America, Washington, D. C.

J. Basic Eng 91(2), 239-244 (Jun 01, 1969) (6 pages) doi:10.1115/1.3571077 History: Received August 05, 1968; Online November 03, 2011


A method is presented to identify partial differential equations and associated boundary conditions of a distributed parameter system. The method is applicable to linear, nonlinear, and time-varying systems. The technique requires that the form of the differential equation and boundary conditions be known up to a set of constant parameters. Finite differences are used to approximate derivatives. Identification is carried out by using normal operating data. The accuracy of the identification depends upon the approximation errors and measurement noise. Methods for decreasing approximation errors are presented.

Copyright © 1969 by ASME
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