JACIII Vol.11 No.9 pp. 1086-1091
doi: 10.20965/jaciii.2007.p1086


Application of Fractional Calculus in the Control of Heat Systems

Isabel S. Jesus and J. A. Tenreiro Machado

Dept. of Electrotechnical Engineering, Institute of Engineering of Porto / GECAD, Rua Dr. António Bernardino de Almeida, 431, 4200-072 Porto, Portugal

March 7, 2007
June 14, 2007
November 20, 2007
fractional calculus, control, diffusion systems, ISE, ITSE, IAE, ITAE

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.

Cite this article as:
Isabel S. Jesus and J. A. Tenreiro Machado, “Application of Fractional Calculus in the Control of Heat Systems,” J. Adv. Comput. Intell. Intell. Inform., Vol.11, No.9, pp. 1086-1091, 2007.
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