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Singular perturbation approximation of semistable linear systems
KTH, School of Electrical Engineering (EES), Automatic Control.ORCID iD: 0000-0003-1835-2963
KTH, School of Electrical Engineering (EES), Automatic Control.ORCID iD: 0000-0001-9940-5929
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2013 (English)In: 2013 European Control Conference, ECC 2013, 2013, 4508-4513 p.Conference paper (Refereed)
Abstract [en]

This paper proposes a singular perturbation approximation for semistable linear systems. In particular, we derive a novel expression of error systems in the Laplace domain. As a result, we obtain an h2-error bound in terms of the sum of eigenvalues of an index matrix, which coincides with a controllability gramian of the state-derivative. Furthermore, we show that the singular perturbation model appropriately preserves the semistability of the original system and also guarantees the stability of the error system. The efficiency of the proposed method is shown through a numerical example of a Markov chain model approximation.

Place, publisher, year, edition, pages
2013. 4508-4513 p.
Keyword [en]
Controllability gramian, Error systems, Laplace domains, Markov chain models, Original systems, Semistability, Singular perturbation approximation, Singular perturbations
National Category
Control Engineering
URN: urn:nbn:se:kth:diva-143177ScopusID: 2-s2.0-84893336402ISBN: 978-303303962-9OAI: diva2:705643
2013 12th European Control Conference, ECC 2013; Zurich; Switzerland; 17 July 2013 through 19 July 2013

QC 20140317

Available from: 2014-03-17 Created: 2014-03-17 Last updated: 2014-03-17Bibliographically approved

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Sandberg, HenrikJohansson, Karl Henrik
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