Integrity of systems under decentralized integral control

A decentralized controller that maintains closed loop stability, when the individual controllers fail or are taken out of service, provides fault tolerance and flexibility in operation. Recently, necessary and sufficient conditions for the existence of a block decentralized controller...

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Main Authors: Meadows, Edward S., Kariwala, Vinay, Forbes, J. Fraser
Other Authors: School of Chemical and Biomedical Engineering
Format: Article
Language:English
Published: 2009
Subjects:
Online Access:https://hdl.handle.net/10356/90901
http://hdl.handle.net/10220/4504
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-909012023-12-29T06:47:53Z Integrity of systems under decentralized integral control Meadows, Edward S. Kariwala, Vinay Forbes, J. Fraser School of Chemical and Biomedical Engineering DRNTU::Engineering::Electrical and electronic engineering::Control and instrumentation::Control engineering DRNTU::Engineering::Computer science and engineering::Theory of computation::Analysis of algorithms and problem complexity DRNTU::Engineering::Chemical engineering A decentralized controller that maintains closed loop stability, when the individual controllers fail or are taken out of service, provides fault tolerance and flexibility in operation. Recently, necessary and sufficient conditions for the existence of a block decentralized controller with integral action for a system to possess integrity against controller failures were proposed. In this paper, these conditions are equivalently expressed using the well-known notions of Niederlinski index (NI) and block relative gain (BRG). The alternate representation implies that under minor assumptions, the available necessary conditions based on NI and BRG are actually both necessary and sufficient. We also show that confirming the existence of a block decentralized controller with integral action such that the system has integrity is NP-hard. Accepted version 2009-03-09T03:01:18Z 2019-12-06T17:56:07Z 2009-03-09T03:01:18Z 2019-12-06T17:56:07Z 2005 2005 Vol. 41, no. 9 (Sep. 2005) Journal Article Kariwala, V., Forbes, J. F., & Meadows, E. S.(2005). Integrity of systems under decentralized integral control. Automatica, 41(9), 1575-1581. 0005-1098 https://hdl.handle.net/10356/90901 http://hdl.handle.net/10220/4504 10.1016/j.automatica.2005.03.024 en Automatica Automatica. Copyright © 2005 Elsevier Ltd All rights reserved. The Journal's web site is located at http://www.sciencedirect.com/science/journal/00051098 7 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::Electrical and electronic engineering::Control and instrumentation::Control engineering
DRNTU::Engineering::Computer science and engineering::Theory of computation::Analysis of algorithms and problem complexity
DRNTU::Engineering::Chemical engineering
spellingShingle DRNTU::Engineering::Electrical and electronic engineering::Control and instrumentation::Control engineering
DRNTU::Engineering::Computer science and engineering::Theory of computation::Analysis of algorithms and problem complexity
DRNTU::Engineering::Chemical engineering
Meadows, Edward S.
Kariwala, Vinay
Forbes, J. Fraser
Integrity of systems under decentralized integral control
description A decentralized controller that maintains closed loop stability, when the individual controllers fail or are taken out of service, provides fault tolerance and flexibility in operation. Recently, necessary and sufficient conditions for the existence of a block decentralized controller with integral action for a system to possess integrity against controller failures were proposed. In this paper, these conditions are equivalently expressed using the well-known notions of Niederlinski index (NI) and block relative gain (BRG). The alternate representation implies that under minor assumptions, the available necessary conditions based on NI and BRG are actually both necessary and sufficient. We also show that confirming the existence of a block decentralized controller with integral action such that the system has integrity is NP-hard.
author2 School of Chemical and Biomedical Engineering
author_facet School of Chemical and Biomedical Engineering
Meadows, Edward S.
Kariwala, Vinay
Forbes, J. Fraser
format Article
author Meadows, Edward S.
Kariwala, Vinay
Forbes, J. Fraser
author_sort Meadows, Edward S.
title Integrity of systems under decentralized integral control
title_short Integrity of systems under decentralized integral control
title_full Integrity of systems under decentralized integral control
title_fullStr Integrity of systems under decentralized integral control
title_full_unstemmed Integrity of systems under decentralized integral control
title_sort integrity of systems under decentralized integral control
publishDate 2009
url https://hdl.handle.net/10356/90901
http://hdl.handle.net/10220/4504
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