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      • Department of Electrical and Electronics Engineering
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      Computation of optimal H∞ controllers and Approximations of fractional order systems: A tutorial review

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      Author(s)
      Karagül, A. E.
      Demir, O.
      Özbay, Hitay
      Date
      2013
      Source Title
      Applied and Computational Mathematics
      Print ISSN
      1683-3511
      Electronic ISSN
      1683-6154
      Publisher
      Applied Mathematics Scientific Research Institute
      Volume
      12
      Issue
      3
      Pages
      261 - 288
      Language
      English
      Type
      Article
      Item Usage Stats
      177
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      62
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      Abstract
      This paper briefly reviews the recent techniques in the field of fractional order systems, and concentrates on the design of 'H00 optimal controllers for a magnetic suspension system model, derived in (25). The plant involves infinite dimensional terms, including a time delay and a rational function of y's. The recent formulation in (36) is used for the controller design, solving the mixed sensitivity minimization problem for unstable infinite dimensional plants with low order weights, and the result is verified with the old design procedure of (44). For simulation purposes, various implementation methods are performed, and a new approximation method is proposed.
      Keywords
      Fractional Order Systems
      H∞ optimal control
      Approximation of fractional order systems
      Time domain simulations of fractional order systems.
      Permalink
      http://hdl.handle.net/11693/50693
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