Discrete Transfer Function Models for Non Integer Order Inertial System

  • Krzysztof OprzędkiewiczEmail author
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 743)


In the paper new, discrete, transfer function models of non integer order inertial plant are proposed. These models can be employed to digital modeling of high order dynamic systems, for example heat transfer systems. Models under consideration use Charef approximation and generating functions expressed by schemes given by Euler, Tustin and Al-Aloui. The practical stability and accuracy for all presented models is analysed also. Results are by simulations depicted.


Fractional order systems Fractional order transfer function Charef approximation Generating function Practical stability 



This paper was sponsored partially by AGH UST grant no.


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© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.AGH University of Science and TechnologyKrakowPoland

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