μ-interaction measure for unstable systems

The requirement that the system and its block diagonal elements have the same unstable poles limits the applicability of μ interaction measure (μ-IM) to stable systems. We propose an extension of the conventional μ-IM to overcome this difficulty. The decentralized controller is designe...

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Main Authors:	Kariwala, Vinay, Forbes, J. Fraser, Skogestad, Sigurd
Other Authors:	School of Chemical and Biomedical Engineering
Format:	Conference or Workshop Item
Language:	English
Published:	2009
Subjects:	DRNTU::Engineering::Chemical engineering DRNTU::Engineering::Electrical and electronic engineering::Control and instrumentation::Control engineering
Online Access:	https://hdl.handle.net/10356/91374 http://hdl.handle.net/10220/4620
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Institution:	Nanyang Technological University
Language:	English

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spelling	sg-ntu-dr.10356-913742023-12-29T06:44:20Z μ-interaction measure for unstable systems Kariwala, Vinay Forbes, J. Fraser Skogestad, Sigurd School of Chemical and Biomedical Engineering International Conference of Control, Automation, Robotics and Vision. (9th : 2006 : Singapore) DRNTU::Engineering::Chemical engineering DRNTU::Engineering::Electrical and electronic engineering::Control and instrumentation::Control engineering The requirement that the system and its block diagonal elements have the same unstable poles limits the applicability of μ interaction measure (μ-IM) to stable systems. We propose an extension of the conventional μ-IM to overcome this difficulty. The decentralized controller is designed based on a block diagonal approximation that is different from the block diagonal elements and is selected by minimizing the scaled L∞ distance between the system and the approximation. We also present a simple method for designing the decentralized controller based on the approximation. The proposed method is useful for system stabilization using independent designs of the decentralized controller. Published version 2009-06-09T07:28:23Z 2019-12-06T18:04:32Z 2009-06-09T07:28:23Z 2019-12-06T18:04:32Z 2006 2006 Conference Paper Kariwala, V., Forbes, J. F., & Skogestad, S. (2006). μ-interaction measure for unstable systems. 9th International Conference of Control, Automation, Robotics and Vision. (pp. 1-6). https://hdl.handle.net/10356/91374 http://hdl.handle.net/10220/4620 10.1109/ICARCV.2006.345132 en © IEEE. 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. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder. 6 p. application/pdf
institution	Nanyang Technological University
building	NTU Library
continent	Asia
country	Singapore Singapore
content_provider	NTU Library
collection	DR-NTU
language	English
topic	DRNTU::Engineering::Chemical engineering DRNTU::Engineering::Electrical and electronic engineering::Control and instrumentation::Control engineering
spellingShingle	DRNTU::Engineering::Chemical engineering DRNTU::Engineering::Electrical and electronic engineering::Control and instrumentation::Control engineering Kariwala, Vinay Forbes, J. Fraser Skogestad, Sigurd μ-interaction measure for unstable systems
description	The requirement that the system and its block diagonal elements have the same unstable poles limits the applicability of μ interaction measure (μ-IM) to stable systems. We propose an extension of the conventional μ-IM to overcome this difficulty. The decentralized controller is designed based on a block diagonal approximation that is different from the block diagonal elements and is selected by minimizing the scaled L∞ distance between the system and the approximation. We also present a simple method for designing the decentralized controller based on the approximation. The proposed method is useful for system stabilization using independent designs of the decentralized controller.
author2	School of Chemical and Biomedical Engineering
author_facet	School of Chemical and Biomedical Engineering Kariwala, Vinay Forbes, J. Fraser Skogestad, Sigurd
format	Conference or Workshop Item
author	Kariwala, Vinay Forbes, J. Fraser Skogestad, Sigurd
author_sort	Kariwala, Vinay
title	μ-interaction measure for unstable systems
title_short	μ-interaction measure for unstable systems
title_full	μ-interaction measure for unstable systems
title_fullStr	μ-interaction measure for unstable systems
title_full_unstemmed	μ-interaction measure for unstable systems
title_sort	μ-interaction measure for unstable systems
publishDate	2009
url	https://hdl.handle.net/10356/91374 http://hdl.handle.net/10220/4620
_version_	1787136817750867968

μ-interaction measure for unstable systems

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