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Approximation methods for FO-IMC controllers for time delay systems

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Abstract
Fractional Order Internal Model Control (FO-IMC) is among the newest trends in extending fractional calculus to the integer order control. Approximation of the FO-IMC is one of the key problems. Apart from this, when dealing with time delay systems, the time delay needs also to be approximated. All these approximations can alter the closed loop performance of the controller. In this paper, FO-IMC controllers will be tested in terms of the approximation accuracy. The case study is a first order system with time delay. Several scenarios will be considered, aiming for a conclusion regarding the choice of the approximation method as a function of the process characteristics, closed loop performance and FO-IMC fractional order. To approximate the time delay, two extensively used techniques will be considered, such as the series and Pade approximations. These will be compared to a novel approximation technique. An analysis of the test cases presented show that the series approximation proves more suitable in a single scenario, whereas the novel approximation method produces better results for the rest of the test cases.

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MLA
Muresan, Cristina I., et al. “Approximation Methods for FO-IMC Controllers for Time Delay Systems.” E3S Web of Conferences, edited by H. Bevrani, vol. 115, EDP Sciences, 2019, doi:10.1051/e3sconf/201911501003.
APA
Muresan, C. I., Birs, I. R., Prodan, O., Nascu, I., & De Keyser, R. (2019). Approximation methods for FO-IMC controllers for time delay systems. In H. Bevrani (Ed.), E3S Web of Conferences (Vol. 115). Roma, Italy: EDP Sciences. https://doi.org/10.1051/e3sconf/201911501003
Chicago author-date
Muresan, Cristina I., Isabela Roxana Birs, Ovidiu Prodan, Ioana Nascu, and Robain De Keyser. 2019. “Approximation Methods for FO-IMC Controllers for Time Delay Systems.” In E3S Web of Conferences, edited by H. Bevrani. Vol. 115. EDP Sciences. https://doi.org/10.1051/e3sconf/201911501003.
Chicago author-date (all authors)
Muresan, Cristina I., Isabela Roxana Birs, Ovidiu Prodan, Ioana Nascu, and Robain De Keyser. 2019. “Approximation Methods for FO-IMC Controllers for Time Delay Systems.” In E3S Web of Conferences, ed by. H. Bevrani. Vol. 115. EDP Sciences. doi:10.1051/e3sconf/201911501003.
Vancouver
1.
Muresan CI, Birs IR, Prodan O, Nascu I, De Keyser R. Approximation methods for FO-IMC controllers for time delay systems. In: Bevrani H, editor. E3S Web of Conferences. EDP Sciences; 2019.
IEEE
[1]
C. I. Muresan, I. R. Birs, O. Prodan, I. Nascu, and R. De Keyser, “Approximation methods for FO-IMC controllers for time delay systems,” in E3S Web of Conferences, Roma, Italy, 2019, vol. 115.
@inproceedings{8667171,
  abstract     = {Fractional Order Internal Model Control (FO-IMC) is among the newest trends in extending fractional calculus to the integer order control. Approximation of the FO-IMC is one of the key problems. Apart from this, when dealing with time delay systems, the time delay needs also to be approximated. All these approximations can alter the closed loop performance of the controller. In this paper, FO-IMC controllers will be tested in terms of the approximation accuracy. The case study is a first order system with time delay. Several scenarios will be considered, aiming for a conclusion regarding the choice of the approximation method as a function of the process characteristics, closed loop performance and FO-IMC fractional order. To approximate the time delay, two extensively used techniques will be considered, such as the series and Pade approximations. These will be compared to a novel approximation technique. An analysis of the test cases presented show that the series approximation proves more suitable in a single scenario, whereas the novel approximation method produces better results for the rest of the test cases.},
  articleno    = {01003},
  author       = {Muresan, Cristina I. and Birs, Isabela Roxana and Prodan, Ovidiu and Nascu, Ioana and De Keyser, Robain},
  booktitle    = {E3S Web of Conferences},
  editor       = {Bevrani, H.},
  issn         = {2555-0403},
  language     = {eng},
  location     = {Roma, Italy},
  pages        = {6},
  publisher    = {EDP Sciences},
  title        = {Approximation methods for FO-IMC controllers for time delay systems},
  url          = {http://dx.doi.org/10.1051/e3sconf/201911501003},
  volume       = {115},
  year         = {2019},
}

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