A model reduction strategy preserving disturbance decoupling properties

M.E.C. Mutsaers, S. Weiland

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Abstract

In this paper, we address the problem of model reduction with control relevant approximation criteria. We focus on a reduction strategy in which the feasibility to design a controller that completely decouples disturbances from to-be-controlled variables in a system is left invariant. The main result of this paper provides a model reduction strategy with the property that disturbance decoupling is possible for the full order system if and only if this is possible for the reduced order system. In addition, controllers that achieve disturbance decoupling for the reduced order system can be implemented on the full order system with guaranteed disturbance decoupling properties.
Original languageEnglish
Title of host publicationProceedings of the 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2012), 9-13 July 2012, Melbourne, Australia
Place of PublicationMelbourne, Australia
Pages1-8
Publication statusPublished - 2012
Event20th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2012) - Melbourne, Australia
Duration: 9 Jul 201213 Jul 2012
Conference number: 20th

Conference

Conference20th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2012)
Abbreviated titleMTNS 2012
CountryAustralia
CityMelbourne
Period9/07/1213/07/12

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Mutsaers, M. E. C., & Weiland, S. (2012). A model reduction strategy preserving disturbance decoupling properties. In Proceedings of the 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2012), 9-13 July 2012, Melbourne, Australia (pp. 1-8). Melbourne, Australia.
Mutsaers, M.E.C. ; Weiland, S. / A model reduction strategy preserving disturbance decoupling properties. Proceedings of the 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2012), 9-13 July 2012, Melbourne, Australia. Melbourne, Australia, 2012. pp. 1-8
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Mutsaers, MEC & Weiland, S 2012, A model reduction strategy preserving disturbance decoupling properties. in Proceedings of the 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2012), 9-13 July 2012, Melbourne, Australia. Melbourne, Australia, pp. 1-8, 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2012), Melbourne, Australia, 9/07/12.

A model reduction strategy preserving disturbance decoupling properties. / Mutsaers, M.E.C.; Weiland, S.

Proceedings of the 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2012), 9-13 July 2012, Melbourne, Australia. Melbourne, Australia, 2012. p. 1-8.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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AB - In this paper, we address the problem of model reduction with control relevant approximation criteria. We focus on a reduction strategy in which the feasibility to design a controller that completely decouples disturbances from to-be-controlled variables in a system is left invariant. The main result of this paper provides a model reduction strategy with the property that disturbance decoupling is possible for the full order system if and only if this is possible for the reduced order system. In addition, controllers that achieve disturbance decoupling for the reduced order system can be implemented on the full order system with guaranteed disturbance decoupling properties.

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Mutsaers MEC, Weiland S. A model reduction strategy preserving disturbance decoupling properties. In Proceedings of the 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2012), 9-13 July 2012, Melbourne, Australia. Melbourne, Australia. 2012. p. 1-8