A Design Procedure for a Class of Distributed Parameter Control Systems

[+] Author and Article Information
P. A. Orner

Systems Engineering Division, Case Western Reserve University, Cleveland, Ohio

A. M. Foster

Case Western Reserve University; Printing Equipment Research Center, Harris-Intertype Corp., Cleveland, Ohio

J. Dyn. Sys., Meas., Control 93(2), 86-92 (Jun 01, 1971) (7 pages) doi:10.1115/1.3426481 History: Received August 03, 1970; Online July 13, 2010


A rational deterministic design procedure is presented for a class of distributed parameter multivariable plants described by linear scalar differential equations. The Galerkin projection method is employed to form an approximate finite dimensional plant model. The subsequent solution of a quadratic regulator problem for the finite dimensional model results in a lumped multivariable controller which operates on the inputs and outputs of the actual plant. A deterministic observer is constructed to estimate the model state. Techniques for optimal location of the input zones and output transducers are developed. Two examples are presented.

Copyright © 1971 by ASME
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