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Design and practical implementation of a fractional order proportional integral controller (FOPI) for a poorly damped fractional order process with time delay

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Abstract
One of the most popular tuning procedures for the development of fractional order controllers is by imposing frequency domain constraints such as gain crossover frequency, phase margin and iso-damping properties. The present study extends the frequency domain tuning methodology to a generalized range of fractional order processes based on second order plus time delay (SOPDT) models. A fractional order PI controller is tuned for a real process that exhibits poorly damped dynamics characterized in terms of a fractional order transfer function with time delay. The obtained controller is validated on the experimental platform by analyzing staircase reference tracking, input disturbance rejection and robustness to process uncertainties. The paper focuses around the tuning methodology as well as the fractional order modeling of the process' dynamics.
Keywords
fractional order control, fractional order model, time delay process, vertical take-off and landing, SYSTEMS

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MLA
Birs, Isabela Roxana, et al. “Design and Practical Implementation of a Fractional Order Proportional Integral Controller (FOPI) for a Poorly Damped Fractional Order Process with Time Delay.” 2019 IEEE 7TH INTERNATIONAL CONFERENCE ON CONTROL, MECHATRONICS AND AUTOMATION (ICCMA 2019), IEEE, 2019, pp. 56–61, doi:10.1109/iccma46720.2019.8988655.
APA
Birs, I. R., Muresan, C., Copot, D., Nascu, I., & Ionescu, C.-M. (2019). Design and practical implementation of a fractional order proportional integral controller (FOPI) for a poorly damped fractional order process with time delay. 2019 IEEE 7TH INTERNATIONAL CONFERENCE ON CONTROL, MECHATRONICS AND AUTOMATION (ICCMA 2019), 56–61. https://doi.org/10.1109/iccma46720.2019.8988655
Chicago author-date
Birs, Isabela Roxana, Cristina Muresan, Dana Copot, Ioan Nascu, and Clara-Mihaela Ionescu. 2019. “Design and Practical Implementation of a Fractional Order Proportional Integral Controller (FOPI) for a Poorly Damped Fractional Order Process with Time Delay.” In 2019 IEEE 7TH INTERNATIONAL CONFERENCE ON CONTROL, MECHATRONICS AND AUTOMATION (ICCMA 2019), 56–61. IEEE. https://doi.org/10.1109/iccma46720.2019.8988655.
Chicago author-date (all authors)
Birs, Isabela Roxana, Cristina Muresan, Dana Copot, Ioan Nascu, and Clara-Mihaela Ionescu. 2019. “Design and Practical Implementation of a Fractional Order Proportional Integral Controller (FOPI) for a Poorly Damped Fractional Order Process with Time Delay.” In 2019 IEEE 7TH INTERNATIONAL CONFERENCE ON CONTROL, MECHATRONICS AND AUTOMATION (ICCMA 2019), 56–61. IEEE. doi:10.1109/iccma46720.2019.8988655.
Vancouver
1.
Birs IR, Muresan C, Copot D, Nascu I, Ionescu C-M. Design and practical implementation of a fractional order proportional integral controller (FOPI) for a poorly damped fractional order process with time delay. In: 2019 IEEE 7TH INTERNATIONAL CONFERENCE ON CONTROL, MECHATRONICS AND AUTOMATION (ICCMA 2019). IEEE; 2019. p. 56–61.
IEEE
[1]
I. R. Birs, C. Muresan, D. Copot, I. Nascu, and C.-M. Ionescu, “Design and practical implementation of a fractional order proportional integral controller (FOPI) for a poorly damped fractional order process with time delay,” in 2019 IEEE 7TH INTERNATIONAL CONFERENCE ON CONTROL, MECHATRONICS AND AUTOMATION (ICCMA 2019), Delft, Netherlands, 2019, pp. 56–61.
@inproceedings{8660584,
  abstract     = {{One of the most popular tuning procedures for the development of fractional order controllers is by imposing frequency domain constraints such as gain crossover frequency, phase margin and iso-damping properties. The present study extends the frequency domain tuning methodology to a generalized range of fractional order processes based on second order plus time delay (SOPDT) models. A fractional order PI controller is tuned for a real process that exhibits poorly damped dynamics characterized in terms of a fractional order transfer function with time delay. The obtained controller is validated on the experimental platform by analyzing staircase reference tracking, input disturbance rejection and robustness to process uncertainties. The paper focuses around the tuning methodology as well as the fractional order modeling of the process' dynamics.}},
  author       = {{Birs, Isabela Roxana and Muresan, Cristina and Copot, Dana and Nascu, Ioan and Ionescu, Clara-Mihaela}},
  booktitle    = {{2019 IEEE 7TH INTERNATIONAL CONFERENCE ON CONTROL, MECHATRONICS AND AUTOMATION (ICCMA 2019)}},
  isbn         = {{9781728137872}},
  keywords     = {{fractional order control,fractional order model,time delay process,vertical take-off and landing,SYSTEMS}},
  language     = {{eng}},
  location     = {{Delft, Netherlands}},
  pages        = {{56--61}},
  publisher    = {{IEEE}},
  title        = {{Design and practical implementation of a fractional order proportional integral controller (FOPI) for a poorly damped fractional order process with time delay}},
  url          = {{http://doi.org/10.1109/iccma46720.2019.8988655}},
  year         = {{2019}},
}

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