Practical stabilization of affine discrete-time systems by periodic switching via a time-delay approach to averaging

Xuefei Yang*, Emilia Fridman

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

This article is concerned with the practical stabilization of switched affine discrete-time systems with uncertainties. We consider a time-dependent periodic switching. We transform the switched system to a time-delay system with the delays whose lengths are equal to the switching period. The time-delay system can be regarded as a perturbation of the averaged system which is supposed to be exponentially stable. The practical stability of the original system is guaranteed by the practical stability of the time-delay one. We derive sufficient input-to-state stability (ISS) conditions for the resulting time-delay system via Lyapunov-Krasovskii method in terms of linear matrix inequalities (LMIs). The upper bound on the switching period that ensures the ISS as well as the resulting ultimate bound are found from the LMIs. An example from power electronics illustrates the efficiency of results.

Original languageEnglish
Title of host publication2022 IEEE 61st Conference on Decision and Control, CDC 2022
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages6869-6874
Number of pages6
ISBN (Electronic)9781665467612
DOIs
StatePublished - 2022
Event61st IEEE Conference on Decision and Control, CDC 2022 - Cancun, Mexico
Duration: 6 Dec 20229 Dec 2022

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume2022-December
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370

Conference

Conference61st IEEE Conference on Decision and Control, CDC 2022
Country/TerritoryMexico
CityCancun
Period6/12/229/12/22

Funding

FundersFunder number
Israel Science Foundation673/19
Council for Higher Education

    Keywords

    • Switched affine systems
    • averaging
    • time-delay

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