Application of Fractional Calculus in the Control of Heat Systems

Abstract

The PID controller is by far the most dominating form of feedback in use in the process industries, due to its functional simplicity and performance. In this work, we apply a generalization of the PID, namely the fractional controller PIDβ , to the heat diffusion system. For the PIDβ tuning are used four performance indices, to find the optimum controller settings by taking advantage of the fractional order β . The effect of actuator saturation and the required control energy are also analyzed.