An Accuracy Estimation for a Non Integer Order, Discrete, State Space Model of Heat Transfer Process

  • Krzysztof OprzedkiewiczEmail author
  • Wojciech Mitkowski
  • Edyta Gawin
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 550)


In the paper an accuracy analysis for non integer order, discrete, state space model of heat transfer process in one dimensional plant is presented. The proposed model is a discrete version of time - continuous, non integer order, state space model proposed previously by Authors. The discretization of integro/differential operator was done with the use of backward difference method. The accuracy and convergence of the discussed model was considered as a function of model order and memory length necessary to proper estimation of non integer order operator. Tests were done with the use of PLC and SCADA based experimental system. Results of experiments show that the proposed, discrete model assures the good performance in the sense of MSE cost function, but its size is relatively high.


Non integer order systems Discrete time systems Heat transfer process PSE approximation 



The paper was sponsored by AGH University grant no


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Krzysztof Oprzedkiewicz
    • 1
    Email author
  • Wojciech Mitkowski
    • 1
  • Edyta Gawin
    • 2
  1. 1.AGH UniversityKrakowPoland
  2. 2.State Higher Vocational School in TarnowTarnowPoland

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