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Further results on saturated globally stabilizing linear state feedback control laws for single-input neutrally stable planar systems
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0001-9940-5929
2013 (English)In: 2013 European Control Conference, ECC 2013, IEEE , 2013, 2728-2733 p.Conference paper, Published paper (Refereed)
Abstract [en]

It is known that for single-input neutrally stable planar systems, there exists a class of saturated globally stabilizing linear state feedback control laws. The goal of this paper is to characterize the dynamic behavior for such a system under arbitrary locally stabilizing linear state feedback control laws. On the one hand, for the continuous-time case, we show that all locally stabilizing linear state feedback control laws are also globally stabilizing control laws. On the other hand, for the discrete-time case, we first show that this property does not hold by explicitly constructing nontrivial periodic solution for a particular system. We then show for an example that there exists more globally stabilizing linear state feedback control laws than well known ones in the literature.

Place, publisher, year, edition, pages
IEEE , 2013. 2728-2733 p.
Keyword [en]
Continuous-time, Discrete-time case, Dynamic behaviors, Linear state feedback control, Nontrivial periodic solutions, Planar systems, Stabilizing control law
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-143849ISI: 000332509703021Scopus ID: 2-s2.0-84893226212ISBN: 978-303303962-9 (print)OAI: oai:DiVA.org:kth-143849DiVA: diva2:712322
Conference
2013 12th European Control Conference, ECC 2013; Zurich; Switzerland; 17 July 2013 through 19 July 2013
Note

QC 20140414

Available from: 2014-04-14 Created: 2014-03-31 Last updated: 2014-04-24Bibliographically approved

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Johansson, Karl Henrik

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  • apa
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  • de-DE
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  • nn-NO
  • nn-NB
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  • Other locale
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Output format
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