A numerical approach for computing stability region of FO-PID controller

The paper proposes a new procedure which allows to define the parameters of a Fractional Order Proportional Integrative Derivative (FO-PID) controller that stabilizes a first-order plant with time-delay. The stabilizing FO-PID parameters complete set has been determined by the application of the Hermite-Biehler theorem to fractional order systems. The proposed procedure has been verified by computer simulations that confirm the effectiveness of the approach. The diffused PID controller industrial use and the verified capability of their non-integer order form justifies the timely FO-PID controller interest.