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Controller synthesis free of analytical model: fixed-order controllers

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  • Hossein Parastvand
  • Mohammad-Javad Khosrowjerdi

Abstract

This paper extends the existing results on model-free approach for three-term controllers to fixed-order controllers. It is shown that knowing the frequency response of a plant is sufficient to calculate a subset of stabilising fixed-order controllers using a set of linear inequalities. The main feature of the proposed approach is that the possible lowest order stabilising controllers corresponding to any stable, unstable, minimum and non-minimum phase plants can be obtained. Also, it is shown that the performance criterion can be transformed to simultaneously stabilising problem for a family of real and complex plants derived from the nominal plant. The usefulness of the proposed approach is illustrated by some examples.

Suggested Citation

  • Hossein Parastvand & Mohammad-Javad Khosrowjerdi, 2015. "Controller synthesis free of analytical model: fixed-order controllers," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(7), pages 1208-1221, May.
    • Handle: RePEc:taf:tsysxx:v:46:y:2015:i:7:p:1208-1221
    DOI: 10.1080/00207721.2013.815823
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