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Conference Paper: Decentralized H ∞ control for air traffic flow networks modeled by a class of compartmental systems

TitleDecentralized H ∞ control for air traffic flow networks modeled by a class of compartmental systems
Authors
KeywordsAir traffic flows
Asymptotically stable
Compartmental systems
Control problems
Controller gain
Issue Date2010
PublisherIEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1002050
Citation
The 3rd International Symposium on Systems and Control in Aeronautics and Astronautics (ISSCAA 2010), Harbin, China, 8-10 June 2010. In Proceedings of the 3rd ISSCAA, 2010, p. 948-953 How to Cite?
AbstractIn this paper, we study the decentralized H ∞ control problem for air traffic flow (ATF) networks. By dividing the airspace into a number of interconnected regions, we first characterize the traffic flow dynamics by means of a compartmental system approach, and formulate the ATF control problem in a decentralized way, where the controller gain matrix is required to be diagonal and element-restricted. To solve the problem, a novel characterization is presented to ensure that the closed-loop system is asymptotically stable with a prescribed H ∞ performance. T hen, a necessary and sufficient condition for the existence of a required controller is proposed and an iterative linear matrix inequality approach is further developed to solve the design condition. Finally, a simple ATF network is used to show the applicability of the obtained results. ©2010 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/126302
ISBN
References

 

DC FieldValueLanguage
dc.contributor.authorLi, Pen_HK
dc.contributor.authorLam, Jen_HK
dc.date.accessioned2010-10-31T12:20:57Z-
dc.date.available2010-10-31T12:20:57Z-
dc.date.issued2010en_HK
dc.identifier.citationThe 3rd International Symposium on Systems and Control in Aeronautics and Astronautics (ISSCAA 2010), Harbin, China, 8-10 June 2010. In Proceedings of the 3rd ISSCAA, 2010, p. 948-953en_HK
dc.identifier.isbn978-1-4244-6044-1-
dc.identifier.urihttp://hdl.handle.net/10722/126302-
dc.description.abstractIn this paper, we study the decentralized H ∞ control problem for air traffic flow (ATF) networks. By dividing the airspace into a number of interconnected regions, we first characterize the traffic flow dynamics by means of a compartmental system approach, and formulate the ATF control problem in a decentralized way, where the controller gain matrix is required to be diagonal and element-restricted. To solve the problem, a novel characterization is presented to ensure that the closed-loop system is asymptotically stable with a prescribed H ∞ performance. T hen, a necessary and sufficient condition for the existence of a required controller is proposed and an iterative linear matrix inequality approach is further developed to solve the design condition. Finally, a simple ATF network is used to show the applicability of the obtained results. ©2010 IEEE.en_HK
dc.languageengen_HK
dc.publisherIEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1002050-
dc.relation.ispartofProceedings of the International Symposium on Systems and Control in Aeronautics and Astronautics, ISSCAA2010en_HK
dc.rightsProceedings of the International Symposium on Systems and Control in Aeronautics and Astronautics. Copyright © IEEE.-
dc.rights©2010 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.-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectAir traffic flows-
dc.subjectAsymptotically stable-
dc.subjectCompartmental systems-
dc.subjectControl problems-
dc.subjectController gain-
dc.titleDecentralized H ∞ control for air traffic flow networks modeled by a class of compartmental systemsen_HK
dc.typeConference_Paperen_HK
dc.identifier.emailLam, J: james.lam@hku.hken_HK
dc.identifier.authorityLam, J=rp00133en_HK
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1109/ISSCAA.2010.5632506en_HK
dc.identifier.scopuseid_2-s2.0-79952132911en_HK
dc.identifier.hkuros179753en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-79952132911&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.spage948en_HK
dc.identifier.epage953en_HK
dc.description.otherThe 3rd International Symposium on Systems and Control in Aeronautics and Astronautics (ISSCAA 2010), Harbin, China, 8-10 June 2010. In Proceedings of the 3rd ISSCAA, 2010, p. 948-953-
dc.identifier.scopusauthoridLi, P=35069715100en_HK
dc.identifier.scopusauthoridLam, J=7201973414en_HK

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