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      • Department of Electrical and Electronics Engineering
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      Strong stabilization of high order plants

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      Author(s)
      Özbay, Hitay
      Gündeş, A. N.
      Date
      2022-06
      Source Title
      Automatica
      Print ISSN
      0005-1098
      Electronic ISSN
      1873-2836
      Publisher
      Elsevier
      Volume
      140
      Pages
      1 - 8
      Language
      English
      Type
      Article
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      Abstract
      Designing stable feedback controllers that stabilize a given plant, known as strong stabilization, has been explored in the literature by using several algorithmic construction procedures. Many of these methods rely on step-by-step interpolation or solving an auxiliary H∞ control problem, or a set of LMIs. This paper gives an explicit construction of simple strongly stabilizing controllers for plants that have restrictive number of zeros in the extended right half plane, without any restrictions on the number or location of poles. A similar construction is also developed for the case of plants with restrictions on the poles. The order of the proposed stable controllers is at most one less than that of the plant, and they are computed by selecting just a few positive parameters determined from the H∞ norms of certain transfer functions.
      Keywords
      Linear systems
      Small gain condition
      Strong stabilization (stable controllers)
      Permalink
      http://hdl.handle.net/11693/111281
      Published Version (Please cite this version)
      https://dx.doi.org/10.1016/j.automatica.2022.110256
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