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Determination of all stabilizing fractional-order PID controllers

Yung K. Lee, John M. Watkins
2011 Proceedings of the 2011 American Control Conference  

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A novel method for finding all fractional-order (FO) proportional-integral-derivative (PID) controllers that stabilize a given system of integer or non-integer order is proposed. The stability bounds of 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 ) plane. A key advantage of this approach is that it provides the stability
more » ... ries even when the transfer function of a system is not available, as long as the frequency response of the system can be obtained. An example is presented to illustrate the effectiveness of this method.
doi:10.1109/acc.2011.5991181 fatcat:zbll5sp5tbfpvmce62h3k6lzua
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Yung K. Lee, John M. Watkins. "Determination of all stabilizing fractional-order PID controllers." Proceedings of the 2011 American Control Conference (2011)