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Delay-dependent methods and the first delay interval
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0001-7273-4394
Tel Aviv University.
2014 (English)In: Systems & control letters (Print), ISSN 0167-6911, E-ISSN 1872-7956, Vol. 64, no 1, 57-63 p.Article in journal (Refereed) Published
Abstract [en]

This paper deals with the solution bounds for time-delay systems via delay-dependent Lyapunov-Krasovskii methods. Solution bounds are widely used for systems with input saturation caused by actuator saturation or by the quantizers with saturation. We show that an additional bound for solutions is needed for the first time-interval, where t<τ(t), both in the continuous and in the discrete time. This first time-interval does not influence on the stability and the exponential decay rate analysis. The analysis of the first time-interval is important for nonlinear systems, e.g., for finding the domain of attraction. Regional stabilization of a linear (probably, uncertain) system with unknown and bounded input delay under actuator saturation is revisited, where the saturation avoidance approach is used.

Place, publisher, year, edition, pages
2014. Vol. 64, no 1, 57-63 p.
Keyword [en]
First delay interval, Input saturation, Lyapunov-Krasovskii method, Time-varying delay
National Category
Control Engineering
URN: urn:nbn:se:kth:diva-136231DOI: 10.1016/j.sysconle.2013.11.005ISI: 000332441600008ScopusID: 2-s2.0-84891621453OAI: diva2:675632
Knut and Alice Wallenberg FoundationSwedish Research Council

QC 20140204

Available from: 2013-12-04 Created: 2013-12-04 Last updated: 2014-04-04Bibliographically approved

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