Abstract

Controlling of the temperature of a thermal medium remains of a great importance because of the economic cost that it may engender. Thus, one effective way to reduce heating/cooling cost is by providing a good control system that limits power needed to run these tasks. For this purpose, we will present in this paper the control of a finite homogeneous diffusive interface using the third generation CRONE controller and control its behavior to the PID controller. The novelty of this work exists in the use of a fractional order controller (the CRONE controller) applied to a fractional order plant and the use of a complex controller (the third generation) which is not so familiar in the controllers domain. The results show that the behavior and the robustness of the CRONE controller are better than the PID controller.

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