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Title: μ-interaction measure for unstable systems
Authors: Kariwala, Vinay
Forbes, J. Fraser
Skogestad, Sigurd
Keywords: DRNTU::Engineering::Chemical engineering
DRNTU::Engineering::Electrical and electronic engineering::Control and instrumentation::Control engineering
DRNTU::Science::Mathematics::Applied mathematics
Issue Date: 2007
Source: Kariwala, V., Forbes, J. F., & Skogestad, S. (2007). μ-Interaction Measure for Unstable Systems. International Journal of Automation and Control, 1(4), 295-313.
Series/Report no.: International journal of automation and control
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.
ISSN: 1740-7524
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:
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SCBE Journal Articles

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