Open AccessApplication of Fractional Calculus in the Control of Heat Systems
Author(s) -
Isabel S. Jesus,
J. A. Tenreiro Machado
Publication year - 2007
Publication title -
journal of advanced computational intelligence and intelligent informatics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.172
H-Index - 20
eISSN - 1343-0130
pISSN - 1883-8014
DOI - 10.20965/jaciii.2007.p1086
Subject(s) - pid controller , control theory (sociology) , generalization , computer science , fractional calculus , controller (irrigation) , multivariable calculus , actuator , process control , process (computing) , control engineering , control (management) , temperature control , mathematics , artificial intelligence , engineering , mathematical analysis , agronomy , operating system , biology
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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