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Model Reduction for Nonlinear Systems by Incremental Balanced Truncation
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0001-5194-3306
2014 (English)In: IEEE Transactions on Automatic Control, ISSN 0018-9286, E-ISSN 1558-2523, Vol. 59, no 10, 2739-2753 p.Article in journal (Refereed) Published
Abstract [en]

In this paper, the method of incremental balanced truncation is introduced as a tool for model reduction of nonlinear systems. Incremental balanced truncation provides an extension of balanced truncation for linear systems towards the nonlinear case and differs from existing nonlinear balancing techniques in the definition of two novel energy functions. These incremental observability and incremental controllability functions form the basis for a model reduction procedure in which the preservation of stability properties is guaranteed. In particular, the property of incremental stability, which provides a notion of stability for systems with nonzero inputs, is preserved. Moreover, a computable error bound is given. Next, an extension towards so-called generalized incremental balanced truncation is proposed, which provides a reduction technique with increased computational feasibility at the cost of a (potentially) larger error bound. The proposed reduction technique is illustrated by means of application to an example of an electronic circuit with nonlinear elements.

Place, publisher, year, edition, pages
2014. Vol. 59, no 10, 2739-2753 p.
Keyword [en]
Incremental balanced truncation
National Category
Control Engineering
URN: urn:nbn:se:kth:diva-155468DOI: 10.1109/TAC.2014.2326548ISI: 000342924300010ScopusID: 2-s2.0-84907482597OAI: diva2:762574

QC 20141112

Available from: 2014-11-12 Created: 2014-11-06 Last updated: 2014-11-12Bibliographically approved

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