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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 robustly stabilizing fractional-order PID controllers. ASME 2012 5th Annual Dynamic Systems and Control Conference joint with the JSME 2012 11th Motion and Vibration Conference, v.1:Paper No. DSCC2012-MOVIC2012-8768:pp. 433-440en_US
dc.descriptionClick on the DOI link to access the article (may not be free).en_US
dc.description.abstractIn this paper, a method is provided for determining all fractional-order (FO) proportional–integral-derivative (PID) controllers that robustly stabilize a single-input and single-output (SISO) transfer function of arbitrary order with a time delay. The parameters of the FO PID controllers are determined in the frequency domain and are given in terms of the proportional gain Kp, integral gain Ki, and derivative gain Kd. In this paper, they will be plotted on the (Kp, Ki), (Kp, Kd), and (Ki, Kd) planes. For a robust stability condition, a multiplicative weight is selected to bound all multiplicative errors of the closed-loop system. In particular, this technique can be used even when the transfer function of a system is not available, as long as the system frequency response can be obtained. An example is given to illustrate the applicability and effectiveness of the method presented.en_US
dc.publisherAmerican Society of Mechanical Engineersen_US
dc.relation.ispartofseriesASME 2012 5th Annual Dynamic Systems and Control Conference joint with the JSME 2012 11th Motion and Vibration Conference Volume 1: Adaptive Control; Advanced Vehicle Propulsion Systems; Aerospace Systems; Autonomous Systems; Battery Modeling; Biochemical Systems; Control Over Networks; Control Systems Design; Cooperativ Fort Lauderdale, Florida, USA, October 17–19, 2012
dc.titleDetermination of all robustly stabilizing fractional-order PID controllersen_US
dc.typeConference paperen_US
dc.rights.holderCopyright © 2012 by ASME

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