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Internal Model Control (IMC) algorithms have proven to be quite efficient in designing PID type controllers for time delay systems. However, to compute the equivalent PID controller in a feedback loop, using the IMC tuning approach, implies the approximation of the process time delay. Two of the most widely used approximation methods (first order or series and Pade) are used in this paper and compared to a new approximation method, the Non Rational Transfer Function (NRTF) approximation. In the current paper, the NRTF approximation is presented as an alternative method to the series/ Pade approximation techniques for time delay systems in an IMC closed loop design. It is shown that for first order and second order processes, given a certain ratio of the IMC filter time constant and process time delay, the NRTF method could produce better closed loop dynamics, compared to the series/ Pade approximations. Several numerical examples are presented, as well as a case study.
Keywords
INTERNAL-MODEL CONTROL, DISTURBANCE REJECTION, DESIGN

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MLA
Muresan, Cristina I., et al. “Alternative Approximation Method for Time Delays in an IMC Scheme.” 2019 INTERNATIONAL AEGEAN CONFERENCE ON ELECTRICAL MACHINES AND POWER ELECTRONICS (ACEMP) & 2019 INTERNATIONAL CONFERENCE ON OPTIMIZATION OF ELECTRICAL AND ELECTRONIC EQUIPMENT (OPTIM), IEEE, 2019, pp. 532–39, doi:10.1109/acemp-optim44294.2019.9007220.
APA
Muresan, C. I., Birs, I. R., Darab, C., Prodan, O., & De Keyser, R. (2019). Alternative approximation method for time delays in an IMC scheme. In 2019 INTERNATIONAL AEGEAN CONFERENCE ON ELECTRICAL MACHINES AND POWER ELECTRONICS (ACEMP) & 2019 INTERNATIONAL CONFERENCE ON OPTIMIZATION OF ELECTRICAL AND ELECTRONIC EQUIPMENT (OPTIM) (pp. 532–539). Istanbul, Turkey: IEEE. https://doi.org/10.1109/acemp-optim44294.2019.9007220
Chicago author-date
Muresan, Cristina I., Isabela Roxana Birs, Cosmin Darab, Ovidiu Prodan, and Robain De Keyser. 2019. “Alternative Approximation Method for Time Delays in an IMC Scheme.” In 2019 INTERNATIONAL AEGEAN CONFERENCE ON ELECTRICAL MACHINES AND POWER ELECTRONICS (ACEMP) & 2019 INTERNATIONAL CONFERENCE ON OPTIMIZATION OF ELECTRICAL AND ELECTRONIC EQUIPMENT (OPTIM), 532–39. IEEE. https://doi.org/10.1109/acemp-optim44294.2019.9007220.
Chicago author-date (all authors)
Muresan, Cristina I., Isabela Roxana Birs, Cosmin Darab, Ovidiu Prodan, and Robain De Keyser. 2019. “Alternative Approximation Method for Time Delays in an IMC Scheme.” In 2019 INTERNATIONAL AEGEAN CONFERENCE ON ELECTRICAL MACHINES AND POWER ELECTRONICS (ACEMP) & 2019 INTERNATIONAL CONFERENCE ON OPTIMIZATION OF ELECTRICAL AND ELECTRONIC EQUIPMENT (OPTIM), 532–539. IEEE. doi:10.1109/acemp-optim44294.2019.9007220.
Vancouver
1.
Muresan CI, Birs IR, Darab C, Prodan O, De Keyser R. Alternative approximation method for time delays in an IMC scheme. In: 2019 INTERNATIONAL AEGEAN CONFERENCE ON ELECTRICAL MACHINES AND POWER ELECTRONICS (ACEMP) & 2019 INTERNATIONAL CONFERENCE ON OPTIMIZATION OF ELECTRICAL AND ELECTRONIC EQUIPMENT (OPTIM). IEEE; 2019. p. 532–9.
IEEE
[1]
C. I. Muresan, I. R. Birs, C. Darab, O. Prodan, and R. De Keyser, “Alternative approximation method for time delays in an IMC scheme,” in 2019 INTERNATIONAL AEGEAN CONFERENCE ON ELECTRICAL MACHINES AND POWER ELECTRONICS (ACEMP) & 2019 INTERNATIONAL CONFERENCE ON OPTIMIZATION OF ELECTRICAL AND ELECTRONIC EQUIPMENT (OPTIM), Istanbul, Turkey, 2019, pp. 532–539.
@inproceedings{8667179,
  abstract     = {Internal Model Control (IMC) algorithms have proven to be quite efficient in designing PID type controllers for time delay systems. However, to compute the equivalent PID controller in a feedback loop, using the IMC tuning approach, implies the approximation of the process time delay. Two of the most widely used approximation methods (first order or series and Pade) are used in this paper and compared to a new approximation method, the Non Rational Transfer Function (NRTF) approximation. In the current paper, the NRTF approximation is presented as an alternative method to the series/ Pade approximation techniques for time delay systems in an IMC closed loop design. It is shown that for first order and second order processes, given a certain ratio of the IMC filter time constant and process time delay, the NRTF method could produce better closed loop dynamics, compared to the series/ Pade approximations. Several numerical examples are presented, as well as a case study.},
  author       = {Muresan, Cristina I. and Birs, Isabela Roxana and Darab, Cosmin and Prodan, Ovidiu and De Keyser, Robain},
  booktitle    = {2019 INTERNATIONAL AEGEAN CONFERENCE ON ELECTRICAL MACHINES AND POWER ELECTRONICS (ACEMP) & 2019 INTERNATIONAL CONFERENCE ON OPTIMIZATION OF ELECTRICAL AND ELECTRONIC EQUIPMENT (OPTIM)},
  isbn         = {9781538676875},
  issn         = {1842-0133},
  keywords     = {INTERNAL-MODEL CONTROL,DISTURBANCE REJECTION,DESIGN},
  language     = {eng},
  location     = {Istanbul, Turkey},
  pages        = {532--539},
  publisher    = {IEEE},
  title        = {Alternative approximation method for time delays in an IMC scheme},
  url          = {http://dx.doi.org/10.1109/acemp-optim44294.2019.9007220},
  year         = {2019},
}

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