PSO Identification for Discrete Fractional Order Model of Heat Transfer Process

  • Krzysztof Oprzędkiewicz
  • Klaudia DziedzicEmail author
Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 559)


In the paper the parameter identification problem for the discrete, fractional order, transfer function is presented. The considered discrete transfer function contains integer order and non integer order parts. The non integer order part is described by the discrete version of Charef transfer function. Identification has been done by a hybrid PSO-simplex minimization of the MSE cost function. Tests were done with the use of an experimental heat plant. Results of experiments show that the proposed combined method assures the better accuracy in the sense of MSE than the “pure” PSO or “pure” simplex method, but its duration is relatively long.


Identification Fractional order systems Fractional order transfer function Charef approximation PSO algorithm 



This paper was sponsored partially by AGH UST grant no and


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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Department of Automatics and RoboticsAGH University of Science and TechnologyKrakowPoland

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