Tuning of fractional PID controllers with Ziegler–Nichols-type rules

In this paper two sets of tuning rules for fractional PIDs are presented. These rules are quadratic and require the same plant time–response data used by the first Ziegler–Nichols tuning rule for (usual, integer) PIDs. Hence no model for the plant to control is needed—only an S-shaped step response...

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Bibliographic Details
Published inSignal processing Vol. 86; no. 10; pp. 2771 - 2784
Main Authors Valério, Duarte, da Costa, José Sá
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.10.2006
Subjects
Fractional controllers
PID
Ziegler–Nichols tuning rules
Fractional controllers
PID
Ziegler–Nichols tuning rules
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Summary:In this paper two sets of tuning rules for fractional PIDs are presented. These rules are quadratic and require the same plant time–response data used by the first Ziegler–Nichols tuning rule for (usual, integer) PIDs. Hence no model for the plant to control is needed—only an S-shaped step response is. Even if a model is known rules quickly provide a starting point for fine tuning. Results compare well with those obtained with rule-tuned integer PIDs.
ISSN:0165-1684
1872-7557
DOI:10.1016/j.sigpro.2006.02.020