Paper:
Language: English:

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

Received: March 7, 2007

Accepted: June 14, 2007

Keywords: fractional calculus, control, diffusion systems, ISE, ITSE, IAE, ITAE

Journal ref: Journal of Advanced Computational Intelligence and Intelligent Informatics, Vol.11, No.9 pp. 1086-1091, 2007

Abstract

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 PID^β, to the heat diffusion system. For the PID^β 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.

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