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Clustering-based model reduction of networked passive systems
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0001-5194-3306
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0003-1835-2963
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0001-9940-5929
2016 (English)In: IEEE Transactions on Automatic Control, ISSN 0018-9286, E-ISSN 1558-2523, Vol. 61, no 10, p. 2958-2973, article id 7350110Article in journal (Refereed) Published
Abstract [en]

The model reduction problem for networks of interconnected dynamical systems is studied in this paper. In particular, networks of identical passive subsystems, which are coupled according to a tree topology, are considered. For such networked systems, reduction is performed by clustering subsystems that show similar behavior and subsequently aggregating their states, leading to a reduced-order networked system that allows for an insightful physical interpretation. The clusters are chosen on the basis of the analysis of controllability and observability properties of associated edge systems, representing the importance of the couplings and providing ameasure of the similarity of the behavior of neighboring subsystems. This reduction procedure is shown to preserve synchronization properties (i.e., the convergence of the subsystem trajectories to each other) and allows for the a priori computation of a bound on the reduction error with respect to external inputs and outputs. The method is illustrated by means of an example of a thermal model of a building.

Place, publisher, year, edition, pages
IEEE, 2016. Vol. 61, no 10, p. 2958-2973, article id 7350110
Keywords [en]
Clustering, Model reduction, Multiagent systems, Networks, Dynamical systems, Multi agent systems, Networks (circuits), Controllability and observabilities, Model reduction problems, Networked systems, Passive systems, Physical interpretation, Synchronization property, Reduction
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-195509DOI: 10.1109/TAC.2015.2505418ISI: 000385406100016Scopus ID: 2-s2.0-84990950542OAI: oai:DiVA.org:kth-195509DiVA, id: diva2:1045829
Funder
Swedish Research Council, 2013-5523
Note

QC 20161110

Available from: 2016-11-10 Created: 2016-11-03 Last updated: 2017-11-29Bibliographically approved

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Besselink, BartJohansson, Karl H.

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