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Controller synthesis free of analytical model: fixed-order controllers. (English) Zbl 1312.93047

Summary: 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 stabilizing fixed-order controllers using a set of linear inequalities. The main feature of the proposed approach is that the possible lowest order stabilizing 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 stabilizing 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.

MSC:

93B50 Synthesis problems
93C80 Frequency-response methods in control theory
93D99 Stability of control systems

Software:

LMI toolbox; LMITOOL
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Full Text: DOI

References:

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