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Fractional control of heat diffusion systems

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Abstract

The concept of differentiation and integration to non-integer order has its origins in the seventeen 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. Simulations are presented assessing the performance of the proposed fractional-order algorithms.

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Authors and Affiliations

  1. Department of Electrotechnical Engineering, Institute of Engineering of Porto, Rua Dr. António Bernardino de Almeida, 4200-072, Porto, Portugal

    Isabel S. Jesus & J. A. Tenreiro Machado

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  1. Isabel S. Jesus
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  2. J. A. Tenreiro Machado
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Correspondence to Isabel S. Jesus.

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Jesus, I.S., Tenreiro Machado, J.A. Fractional control of heat diffusion systems. Nonlinear Dyn 54, 263–282 (2008). https://doi.org/10.1007/s11071-007-9322-2

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  • DOI: https://doi.org/10.1007/s11071-007-9322-2

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