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      Dwell time-based stabilisation of switched delay systems using free-weighting matrices

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      Author(s)
      Koru, A. T.
      Delibaşı, A.
      Özbay, Hitay
      Date
      2018
      Source Title
      International Journal of Control
      Print ISSN
      0020-7179
      Publisher
      Taylor and Francis
      Volume
      91
      Issue
      1
      Pages
      1 - 11
      Language
      English
      Type
      Article
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      Abstract
      In this paper, we present a quasi-convex optimisation method to minimise an upper bound of the dwell time for stability of switched delay systems. Piecewise Lyapunov-Krasovskii functionals are introduced and the upper bound for the derivative of Lyapunov functionals is estimated by free-weighting matrices method to investigate non-switching stability of each candidate subsystems. Then, a sufficient condition for the 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, dwell time optimisation problem can be formulated as a standard quasi-convex optimisation problem. Numerical examples are given to illustrate the improvements over previously obtained dwell time bounds. Using the results obtained in the stability case, we present a nonlinear minimisation algorithm to synthesise the dwell time minimiser controllers. The algorithm solves the problem with successive linearisation of nonlinear conditions.
      Keywords
      Dwell time optimisation
      Free-weighting matrices
      Switched delay systems
      Time-delay
      Permalink
      http://hdl.handle.net/11693/50064
      Published Version (Please cite this version)
      https://doi.org/10.1080/00207179.2016.1266515
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      • Department of Electrical and Electronics Engineering 4016
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