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      Numerical computation of H∞ optimal controllers for time delay systems using YALTA

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      Author(s)
      Yeğin, M. O.
      Özbay, Hitay
      Date
      2016
      Source Title
      IFAC-PapersOnLine
      Print ISSN
      2405-8963
      Publisher
      Elsevier B.V.
      Volume
      49
      Issue
      10
      Pages
      182 - 187
      Language
      English
      Type
      Article
      Item Usage Stats
      188
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      166
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      Abstract
      Numerical computation of H∞ controllers for time delay systems has been a challenge since 1980s. Even though significant techniques are developed to obtain direct optimal controllers, application of these methods may require manual computation depending on the plant. In this paper, an alternative computational technique is proposed for direct optimal controllers originally obtained by Toker and Özbay (1995). The new controller expression contains finite dimensional transfer functions and an infinite dimensional term, which is stable. Thus it is suitable for finite dimensional approximations and practical non-fragile implementations. In this method, in order to eliminate manual computation of the plant factorization for neutral and retarded delay systems YALTA (a tool developed at INRIA) is used. The new controller computation is implemented in Matlab, and it is illustrated on an example. © 2016
      Keywords
      H∞ controller
      Infinite dimensional systems
      Neutral and retarded systems
      Robust control
      Time-delay systems
      Closed loop systems
      Controllers
      Delay control systems
      Robust control
      Computational technique
      Finite dimensional approximation
      Infinite dimensional
      Numerical computations
      Optimal controller
      Retarded system
      Time delay
      Permalink
      http://hdl.handle.net/11693/36829
      Published Version (Please cite this version)
      http://dx.doi.org/10.1016/j.ifacol.2016.07.523
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      • Department of Electrical and Electronics Engineering 4012
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