Robust stability and stabilization of linear switched systems with dwell time

Liron I. Allerhand, Uri Shaked

Research output: Contribution to journalArticlepeer-review

Abstract

Sufficient conditions are given for the stability of linear switched systems with dwell time and with polytopic type parameter uncertainty. A Lyapunov function, in quadratic form, which is non-increasing at the switching instants is assigned to each subsystem. During the dwell time, this function varies piecewise linearly in time after switching occurs. It becomes time invariant afterwards. This function leads to asymptotic stability conditions for the nominal set of subsystems that can be readily extended to the case where these subsystems suffer from polytopic type parameter uncertainties. The method proposed is then applied to stabilization via state-feedback both for the nominal and the uncertain cases.

Original languageEnglish
Article number5659466
Pages (from-to)381-386
Number of pages6
JournalIEEE Transactions on Automatic Control
Volume56
Issue number2
DOIs
StatePublished - Feb 2011

Keywords

  • Dwell time
  • linear switched systems
  • polytopic uncertainties

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