Control of a heat diffusion system through a fractional order nonlinear algorithm

Authors:
Isabel S. Jesus;J.A. Tenreiro Machado;Ramiro S. Barbosa
Affiliations:
Institute of Engineering of Porto, Rua Dr. António Bernardino de Almeida, 431, 4200-072 Porto, Portugal;Institute of Engineering of Porto, Rua Dr. António Bernardino de Almeida, 431, 4200-072 Porto, Portugal;Institute of Engineering of Porto, Rua Dr. António Bernardino de Almeida, 431, 4200-072 Porto, Portugal
Venue:
Computers & Mathematics with Applications
Year:
2010

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Abstract

The application of the FC concepts has increased significantly in different fields of science and engineering, because FC captures properties that classical integer order models neglect. This paper studies a heat diffusion system, that is described through the fractional operator s^0^.^5, under the control of a fractional nonlinear algorithm. The tuning of the algorithm follows the optimization of performance control indices. The results demonstrate the good performance of the proposed controller.