RESEARCH PAPERS: Additional Technical Papers

Asymptotic Behavior of the Closed Loop Poles of Linear Optimal Multivariable Systems

[+] Author and Article Information
M. A. Johnson, M. J. Grimble

Industrial Control Unit, Department of Electronic & Electrical Engineering, University of Strathclyde, Glasglow G1 1XW, Scotland, U.K.

J. Dyn. Sys., Meas., Control 105(3), 165-178 (Sep 01, 1983) (14 pages) doi:10.1115/1.3140651 History: Received June 25, 1982; Online July 21, 2009


A new theory to describe the asymptotic optimal closed-loop pole positions and their related eigenvectors is presented. This is accomplished by utilizing the optimal return difference relation in a matrix/input vector description of the asymptotic eigenstructure. The paper contains an analysis for the finite closed-loop positions showing that for nonsquare systems, there can be finite closed loop-poles not associated with the system invariant zeros. Also presented is an elementary analysis for the asymptotically infinite closed-loop pole positions. Introduced here are the concepts of Butterworth patterns and some simple subspace characterisations of the input vector directions.

Copyright © 1983 by ASME
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