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dc.contributor.authorLee, Yung K.
dc.contributor.authorWatkins, John Michael
dc.identifier.citationLee, Yung K.; Watkins, John Michael. 2013. Determination of all stabilizing fractional-order PID controllers that satisfy a robust performance constraint. 2013 AMERICAN CONTROL CONFERENCE (ACC) Book Series: Proceedings of the American Control Conference, 17-19 June 2013, ppg. 1789-1794, Published: 2013en_US
dc.descriptionClick on the link to access the article (may not be free).en_US
dc.description.abstractThis paper presents a method for finding all stabilizing fractional-order (FO) proportional-integral-derivative (PID) controllers that satisfy a robust performance constraint for a system of integer or non-integer order with a time delay. All the solutions to such FO PID controllers are calculated in the frequency domain and are given in terms of the proportional gain K-p, integral gain K-i, and derivative gain K-d. In this paper, they will be plotted on the (K-p, K-i), (K-p, K-d), and (K-i, K-d) planes. For a robust performance constraint, a weight is selected to bound all multiplicative errors resulting from parametric uncertainty and a sensitivity function weight is selected to set performance specifications. This approach provides all the possible gain parameter values of FO PID controllers that satisfy a robust performance condition. An example is given to illustrate the usefulness and effectiveness of the method.en_US
dc.relation.ispartofseries2013 American Control Conference (ACC) Washington, DC, USA, June 17-19, 2013;
dc.subjectClosed loop systemsen_US
dc.subjectDelay effectsen_US
dc.subjectFrequency-domain analysisen_US
dc.subjectTransfer functionsen_US
dc.titleDetermination of all stabilizing fractional-order PID controllers that satisfy a robust performance constrainten_US
dc.typeConference paperen_US
dc.rights.holderCopyright IEEE 2013

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