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      On dwell time minimization for switched delay systems: Time-Scheduled Lyapunov Functions

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      Author(s)
      Koru, A. T.
      Delibaşı, A.
      Özbay, Hitay
      Date
      2016
      Source Title
      IFAC-PapersOnLine
      Print ISSN
      2405-8963
      Publisher
      Elsevier B.V.
      Volume
      49
      Issue
      10
      Pages
      37 - 40
      Language
      English
      Type
      Article
      Item Usage Stats
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      Abstract
      In the present paper, dwell time stability conditions of the switched delay systems are derived using scheduled Lyapunov-Krasovskii functions. The derivative of the Lyapunov functions are guaranteed to be negative semidefinite using free weighting matrices method. After representing the dwell time in terms of linear matrix inequalities, the upper bound of the dwell time is minimized using a bisection algorithm. Some numerical examples are given to illustrate effectiveness of the proposed method, and its performance is compared with the existing approaches. The yielding values of dwell time via the proposed technique show that the novel approach outperforms the previous ones. © 2016
      Keywords
      Dwell time optimization
      Free weighting matrices
      Switched systems
      Time delay
      Time-scheduled Lyapunov function
      Lyapunov functions
      Numerical methods
      Bisection algorithms
      Dwell time
      Free-weighting matrices
      Lyapunov Krasovskii function
      Negative semi-definite
      Switched delay systems
      Switched system
      Upper Bound
      Linear matrix inequalities
      Permalink
      http://hdl.handle.net/11693/36832
      Published Version (Please cite this version)
      http://dx.doi.org/10.1016/j.ifacol.2016.07.469
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      • Department of Electrical and Electronics Engineering 4011
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