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Title:
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μ-interaction measure for unstable systems.
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Author:
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Kariwala, Vinay.; Forbes, J. Fraser.; Skogestad, Sigurd.
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Copyright year:
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2007 |
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Abstract:
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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. |
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Subject:
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DRNTU::Engineering::Chemical engineering.
DRNTU::Engineering::Electrical and electronic engineering::Control and instrumentation::Control engineering.
DRNTU::Science::Mathematics::Applied mathematics.
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Type:
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Journal Article |
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Series/ Journal Title:
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International journal of automation and control |
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School:
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School of Chemical and Biomedical Engineering |
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Rights:
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© 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. |
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Version:
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Accepted version |
