Determination of all stabilizing fractional-order PID controllers that satisfy a weighted sensitivity constraint

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Lee, Yung K.
Watkins, John Michael

Yung K. Lee. (2012). Determination of All Stabilizing Fractional-Order PID Controllers that Satisfy a Weighted Sensitivity Constraint. -- In Proceedings: 8th Annual Symposium: Graduate Research and Scholarly Projects. Wichita, KS: Wichita State University, p.96-97


This paper presents a method for finding all fractional-order (FO) proportional-integral-derivative (PID) controllers that stabilize a given system and at the same time satisfy an H∞ weighted-sensitivity constraint. All the values of the gain parameters of such 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 were be calculated and plotted on the (Kp, Ki) plane with a fixed value of Kd. This approach can be used even when the transfer function of a system is not available, so long as the frequency response thereof can be obtained.

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Paper presented to the 8th Annual Symposium on Graduate Research and Scholarly Projects (GRASP) held at the Marcus Welcome Center, Wichita State University, April 18, 2012.
Research completed at the Department of Electrical Engineering and Computer Science, College of Engineering