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      • Department of Electrical and Electronics Engineering
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      On dwell time minimization for switched delay systems: free-weighting matrices method

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      Author(s)
      Koru, A. T.
      Delibaşı, A.
      Özbay, Hitay
      Date
      2014
      Source Title
      Proceedings of the 53rd IEEE Conference on Decision and Control, IEEE 2014
      Print ISSN
      0743-1546
      Publisher
      IEEE
      Pages
      1978 - 1982
      Language
      English
      Type
      Conference Paper
      Item Usage Stats
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      Abstract
      In this paper, we present a quasi-convex minimization method to calculate an upper bound of dwell-time for stability of switched delay systems. Piecewise Lyapunov-Krasovskii functionals are introduced and the upper bound for the derivative of Lyapunov functionals are estimated by free weighting matrices method to investigate non-switching stability of each candidate subsystems. Then, a sufficient condition for dwell-time is derived to guarantee the asymptotic stability of the switched delay system. Once these conditions are represented by a set of linear matrix inequalities (LMIs), dwell time optimization problem can be formulated as a standard quasi-convex optimization problem. Numerical examples are given to illustrate improvements over previously obtained dwell-time bounds.
      Keywords
      Dwell time optimization
      Free weighting matrices method
      Switched systems
      Time delay systems
      Permalink
      http://hdl.handle.net/11693/27485
      Published Version (Please cite this version)
      http://dx.doi.org/10.1109/CDC.2014.7039688
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      • Department of Electrical and Electronics Engineering 3702
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