Feedback Design of a Canonical Multivariable System With Application to Shape Control in Sendzimir Mills

[+] Author and Article Information
J. V. Ringwood

School of Electronic Engineering, Dublin City University, Dublin 9, Ireland

D. H. Owens

School of Engineering, University of Exeter, Exeter EX1 2LU, U.K.

M. J. Grimble

Industrial Control Centre, Department of Electronic and Electrical Engineering, Glasgow G1 1QE, U.K.

J. Dyn. Sys., Meas., Control 116(1), 104-110 (Mar 01, 1994) (7 pages) doi:10.1115/1.2900663 History: Received November 20, 1989; Online March 17, 2008


The shape control problem, for a Sendzimir Cold Rolling Mill, is multivariable. The plant transfer function matrix, however, has the special form: G(s) = g(s)Gm , where g(s) is a scalar transfer function and Gm a square matrix of constant gains. The control philosophy presented exploits this structure by diagonalising the system using an eigenvector/eigenvalue decomposition resulting in a scalar frequency response design problem. An important consideration in shape control systems is the robustness of the design due to the wide range of materials rolled, reflected in changes in the elements of Gm . Therefore, a development is included which represents the robustness of the design, with respect to errors in Gm , in terms of a set of strict inequalities.

Copyright © 1994 by The American Society of Mechanical Engineers
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