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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.
    Academic Unit: Faculty of Science and Engineering > Computer Science
    Faculty of Science and Engineering > Research Institutes > Hamilton Institute
    Item ID: 1746
    Identification Number: https://doi.org/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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