A Non Integer Order Model of Frequency Speed Control in AC Motor

  • Krzysztof OprzędkiewiczEmail author
  • Tomasz Kołacz
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 440)


In the paper new non integer order models for speed control in AC motor are proposed. The models have the form of hybrid transfer functions containing both integer order and non integer order parts. Parameters of models were assigned with the use of least square method. The proposed models were compared to integer order transfer function model with delay identified with the use of MATLAB. Results of experiments show that the proposed hybrid models containing fractional order part and integer order part are comparable in the sense of square cost function to reference integer order model and simultaneously they can be simpler to identify and their computational complexity is smaller than reference integer order model.


AC motor Frequency speed control Fractional order transfer function Oustaloup approximation 



This paper was supported by the AGH (Poland)—project no


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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Faculty of Electrotechnics, Automatics, Informatics and Biomedical Engineering, Department of Automatics and Biomedical EngineeringAGH University of Science and TechnologyKrakówPoland
  2. 2.High Vocational School in TarnówPolytechnic InstituteTarnówPoland

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