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This 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 Kp, integral gain Ki, and derivative...
This paper presents a method for determining all stabilizing fractional-order (FO) proportional-integral-derivative (PID) controllers that satisfy an H∞ weighted-sensitivity constraint for a system of integer or non-integer order. All the parameters of such FO PID controllers are calculated in the frequency domain and are given in terms of the proportional gain Kp, integral gain Ki, and derivative...
A new 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 boundaries of such FO PID controllers are calculated 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...
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