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New results on non-regular linearization of non-linear systems
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory. KTH, School of Computer Science and Communication (CSC), Centres, Centre for Autonomous Systems, CAS.ORCID iD: 0000-0003-0177-1993
2007 (English)In: International Journal of Control, ISSN 0020-7179, E-ISSN 1366-5820, Vol. 80, no 10, 1651-1664 p.Article in journal (Refereed) Published
Abstract [en]

This paper presents some new results on non-regular linearization of non-linear systems. Based on a normal form and a non-regular linearization technique developed recently, the paper first provides a set of calculating formulas for the linearization procedure. As an application, the linearization of bilinear systems is investigated. Then, it presents easily veri. able sufficient conditions for the global (semi-global) (approximate) linearization. Finally, an estimate of the region of attraction for the kth degree approximately linearized systems with state feedback control is given, which illustrates one of the advantages of the approximate linearization.

Place, publisher, year, edition, pages
2007. Vol. 80, no 10, 1651-1664 p.
Keyword [en]
feedback linearization, normal-form, bifurcation
National Category
Other Mathematics
URN: urn:nbn:se:kth:diva-16962DOI: 10.1080/00207170701481659ISI: 000249589400011ScopusID: 2-s2.0-34648828891OAI: diva2:335005

QC 20150727

Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2015-07-27Bibliographically approved

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Hu, Xiaoming
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Optimization and Systems TheoryCentre for Autonomous Systems, CAS
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