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dc.contributor.authorGosea, Ion Victor
Petreczky, Mihaly
Antoulas, Athanasios C.
Fiter, Christophe
dc.date.accessioned 2018-08-21T16:18:44Z
dc.date.available 2018-08-21T16:18:44Z
dc.date.issued 2018
dc.identifier.citation Gosea, Ion Victor, Petreczky, Mihaly, Antoulas, Athanasios C., et al.. "Balanced truncation for linear switched systems." Advances in Computational Mathematics, (2018) Springer: https://doi.org/10.1007/s10444-018-9610-z.
dc.identifier.urihttps://hdl.handle.net/1911/102480
dc.description.abstract We propose a model order reduction approach for balanced truncation of linear switched systems. Such systems switch among a finite number of linear subsystems or modes. We compute pairs of controllability and observability Gramians corresponding to each active discrete mode by solving systems of coupled Lyapunov equations. Depending on the type, each such Gramian corresponds to the energy associated to all possible switching scenarios that start or, respectively end, in a particular operational mode. In order to guarantee that hard to control and hard to observe states are simultaneously eliminated, we construct a transformed system, whose Gramians are equal and diagonal. Then, by truncation, directly construct reduced order models. One can show that these models preserve some properties of the original model, such as stability and that it is possible to obtain error bounds relating the observed output, the control input and the entries of the diagonal Gramians.
dc.language.iso eng
dc.publisher Springer
dc.rightsThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.title Balanced truncation for linear switched systems
dc.type Journal article
dc.citation.journalTitle Advances in Computational Mathematics
dc.subject.keywordmodel order reduction
switched systems
balanced truncation
infinite gramians
controllability
observability
dc.identifier.digital BalancedTruncation
dc.type.dcmi Text
dc.identifier.doihttps://doi.org/10.1007/s10444-018-9610-z
dc.type.publication publisher version


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This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Except where otherwise noted, this item's license is described as This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.