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μ-interaction measure for unstable systems

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μ-interaction measure for unstable systems

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Title: μ-interaction measure for unstable systems
Author: Kariwala, Vinay; Forbes, J. Fraser; Skogestad, Sigurd
Copyright year: 2007
Abstract: In this paper, we present a method for system stabilization through independent designs of the decentralized controller. The proposed method extends the practical applicability of the conventional μ interaction measure (μ-IM) to unstable systems. The decentralized controller is designed based on a block diagonal approxi- mation that is different from the block diagonal elements, but has the same number of unstable poles as the system. By expressing the μ-IM in terms of the transfer matrix between the disturbances and inputs, we show that the block diagonal approximation can be sub-optimally selected by minimizing the scaled L-inf distance between the sys- tem and the approximation. We present a numerical method for choosing the block diagonal approximation and a simple method for designing the decentralized controller based on the approximation.
Subject: DRNTU::Engineering::Chemical engineeringDRNTU::Engineering::Electrical and electronic engineering::Control and instrumentation::Control engineeringDRNTU::Science::Mathematics::Applied mathematics
Type: Journal Article
Series/ Journal Title: International journal of automation and control
School: School of Chemical and Biomedical Engineering
Rights: © 2007 Inderscience Enterprises Ltd. This is the author created version of a work that has been peer reviewed and accepted for publication by International Journal of Automation and Control, Inderscience Enterprises Ltd.  It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document.  The published version is available at: http://www.inderscience.com/search/index.php?action=record&rec_id=15845&prevQuery=&ps=10&m=or.
Version: Accepted version

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