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Optimal triangular approximation for linear stable multivariable systems.

Oyarzún, Diego A. and Salgado, Mario E. (2007) Optimal triangular approximation for linear stable multivariable systems. In: Proceedings of the 2007 American Control Conference Marriott Marquis Hotel at Times Square New York City, USA, July 11-13, 2007. IEEE, pp. 5158-5163. ISBN 1-4244-0988-8

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Abstract

This paper deals with the problem of obtaining a stable triangular approximation for a linear, square, stable, discrete-time MIMO system. We solve this problem through an analytic procedure that yields an explicit solution of a convex optimization problem. The optimized quantity is the L2 norm of the relative modelling error. An interesting feature of the proposed methodology is that, if the MIMO system has nonminimum phase zeros near the stability boundary, then the derived approximation has, at least, a set of zeros close to them. The usefulness of our result comes mainly from its use as nominal model in triangular controller design procedures based on a triangular plant model.

Item Type: Book Section
Additional Information: "©2007 IEEE. Reprinted from Proceedings of the 2007 American Control Conference Marriott Marquis Hotel at Times Square New York City, USA, July 11-13, 2007. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE." http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4282154&isnumber=4282135
Keywords: MIMO systems; Approximation theory; Control system synthesis; Convex programming; Discrete time systems; Linear systems; Poles and zeros; Stability; Convex optimization problem; Linear stable multivariable systems; Nonminimum phase zero; Optimal triangular approximation; Square system; Stability boundary; Triangular controller design; Triangular plant model; ACC '07; Hamilton Institute.
Subjects: Science & Engineering > Computer Science
Science & Engineering > Hamilton Institute
Item ID: 1746
Identification Number: 10.1109/ACC.2007.4282154
Depositing User: Hamilton Editor
Date Deposited: 14 Dec 2009 16:06
Publisher: IEEE
Refereed: Yes
URI:

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