Controller synthesis free of analytical model: fixed-order controllers

Hossein Parastvand and Mohammad-Javad Khosrowjerdi

International Journal of Systems Science, 2015, vol. 46, issue 7, 1208-1221

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.

Date: 2015
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DOI: 10.1080/00207721.2013.815823

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