Jesus, Isabel S.Barbosa, RamiroTenreiro Machado, J. A.Cunha, J. Boaventura2019-04-012006-08http://hdl.handle.net/10400.22/13314The concept of differentiation and integration to non-integer order has its origins in the nineteen century. However, only in the second-half of the twenty century appeared the first applications related to the area of control theory. In this paper we consider the study of a heat diffusion system based on the application of the fractional calculus concepts. In this perspective, several control methodologies are investigated and compared, such as the adoption of a Smith predictor structure for the better control of systems with time delays. Several simulations are presented assessing the performance of the proposed fractional-order algorithms.engFractional calculusTemperature controlControl systemsThree-term controlTransfer functionsconference object10.1109/ICCCYB.2006.305716