Fractional order calculus for modeling and fractional PID control of the heating process

Abstract

In this paper the fractional order approach will be used for both modeling and control of the heat transfer model. As a controller the fractional order PID algorithm was used. We use two strategies for obtaining the parameters of fractional order PID controller. The first tune the orders with constant parameters obtained by traditional methods. The second when we arbitrary chose an order of the regulator and tune the parameters. Numerically obtained parameters were used to the control of the experimental setup of heat transfer. Results were presented and compared for each criterion and for both integer order and fractional PID control algorithms.