145
Views
3
CrossRef citations to date
0
Altmetric
Control Engineering

Robust Design of Tilted Integral Derivative Controller for Non-integer Order Processes with Time Delay

&

References

  • P. P. Arya, and S. Chakrabarty, “Robust internal model controller with increased closed-loop bandwidth for process control systems,” IET Control Theory Appl., Vol. 14, no. 15, pp. 2134–46, 2020. DOI: 10.1049/iet-cta.2019.1182.
  • M. Ö. Efe, “Fractional order systems in industrial automation—A survey,” IEEE Trans. Ind. Informatics, Vol. 7, no. 4, pp. 582–91, 2011. DOI: 10.1109/TII.2011.2166775.
  • K. Eltag, “Design robust self-tuning FPIDF controller for AVR system,” Int. J. Control. Autom. Syst., Vol. 19, no. 2, pp. 910–20, 2021.
  • A. K. Bhullar, R. Kaur, and S. Sondhi, “Optimization of fractional order controllers for AVR system using distance and levy-flight based crow search algorithm,” IETE J. Res., pp. 1–18, 2020. doi:10.1080/03772063.2020.1782779.
  • S. R. Desai, and R. Prasad, “Novel technique of optimizing fopid controller parameters using bbbc for higher order system,” IETE J. Res., Vol. 60, no. 3, pp. 211–17, 2014.
  • M. Asadollahi, A. Rikhtegar, H. Dehghani, A. R. Ghiasi, and H. Dehghani, “Excitation control of a synchronous generator using a novel fractional-order controller,” IET Gener. Transm. Distrib., Vol. 9, no. 15, pp. 2255–60, 2015. DOI: 10.1049/iet-gtd.2015.0253.
  • D. Li, L. Liu, Q. Jin, and K. Hirasawa, “Maximum sensitivity based fractional IMC-PID controller design for non-integer order system with time delay,” J. Process Control, Vol. 31, pp. 17–29, Jul. 2015. DOI: 10.1016/j.jprocont.2015.04.001.
  • X. Li, “Robust fractional-order PID tuning method for a plant with an uncertain parameter,” Int. J. Control. Autom. Syst., Vol. 19, no. 350, pp. 1302–10, 2021.
  • I. Kasireddy, A. Wahid Nasir, and A. K. Singh, “Application of FOPID-FOF controller based on IMC theory for automatic generation control of power system,” IETE J. Res., Vol. 0, no. 0, pp. 1–16, 2019. DOI: 10.1080/03772063.2019.1694452.
  • R. K. Khadanga, S. Padhy, S. Panda, and A. Kumar, “Design and analysis of tilt integral derivative controller for frequency control in an islanded microgrid: A novel hybrid dragonfly and pattern search algorithm approach,” Arab. J. Sci. Eng., Vol. 43, no. 6, pp. 3103–14, 2018. DOI: 10.1007/s13369-018-3151-0.
  • D. Guha, P. K. Roy, and S. Banerjee, “Maiden application of SSA-optimised CC-TID controller for load frequency control of power systems,” IET Gener. Transm. Distrib., Vol. 13, no. 7, pp. 1110–20, 2019. DOI: 10.1049/iet-gtd.2018.6100.
  • M. Ahmed, G. Magdy, M. Khamies, and S. Kamel, “Modified TID controller for load frequency control of a two-area interconnected diverse-unit power system,” Int. J. Electr. Power Energy Syst., Vol. 135, no. August 2021, p. 107528, 2022. DOI: 10.1016/j.ijepes.2021.107528.
  • S. Kumari, and G. Shankar, “Maiden application of cascade tilt-integral–tilt-derivative controller for performance analysis of load frequency control of interconnected multi-source power system,” IET Gener. Transm. Distrib., Vol. 13, no. 23, pp. 5326–38, 2019. DOI: 10.1049/iet-gtd.2018.6726.
  • B. Verma, and P. K. Padhy, “Optimal PID controller design with adjustable maximum sensitivity,” IET Control Theory Appl., Vol. 12, no. 8, pp. 1156–65, May 2018. DOI: 10.1049/iet-cta.2017.1078.
  • B. Verma, and P. K. Padhy, “Indirect IMC-PID controller design,” IET Control Theory Appl., Vol. 13, no. 2, pp. 297–305, 2019. DOI: 10.1049/iet-cta.2018.5454.
  • S. Jain, and Y. V. Hote, “Design of FOPID controller using BBBC via ZN tuning approach: simulation and experimental validation,” IETE J. Res., Vol. 0, no. 0, pp. 1–15, 2020. DOI: 10.1080/03772063.2020.1756937.
  • M. A. Sahib, and B. S. Ahmed, “A new multiobjective performance criterion used in PID tuning optimization algorithms,” J. Adv. Res., Vol. 7, no. 1, pp. 125–34, 2016. DOI: 10.1016/j.jare.2015.03.004.
  • R. Kumar, et al., “Design and analysis of tilt integral derivative controller with filter for load frequency control of multi-area interconnected power systems,” ISA Trans., Vol. 61, pp. 251–64, 2016. DOI: 10.1016/j.isatra.2015.12.001.
  • F. Hassan, and A. Zolotas, “Impact of fractional order methods on optimized tilt control for rail vehicles,” Fract. Calc. Appl. Anal., Vol. 20, no. 3, pp. 765–89, 2017. DOI: 10.1515/fca-2017-0039.
  • A. K. Barik, S. Jaiswal, and D. C. Das, “Recent trends and development in hybrid microgrid: a review on energy resource planning and control,” Int. J. Sustain. Energy, Vol. 0, no. 0, pp. 1–15, 2021. DOI: 10.1080/14786451.2021.1910698.
  • K. Singh, M. Amir, F. Ahmad, and M. A. Khan, “An integral tilt derivative control strategy for frequency control in multimicrogrid system,” IEEE Syst. J., Vol. 15, no. 1, pp. 1477–88, 2021. DOI: 10.1109/JSYST.2020.2991634.
  • M. Bettayeb, and R. Mansouri, “Fractional IMC-PID-filter controllers design for non integer order systems,” J. Process Control, Vol. 24, no. 4, pp. 261–71, 2014. DOI: 10.1016/j.jprocont.2014.01.014.
  • P. P. Arya, and S. Chakrabarty, “A modified IMC structure to independently select phase margin and gain cross-over frequency criteria,” IFAC-PapersOnLine, Vol. 51, no. 1, pp. 267–72, 2018. DOI: 10.1016/j.ifacol.2018.05.066.
  • S. S. Das, S. Saha, S. S. Das, and A. Gupta, “On the selection of tuning methodology of FOPID controllers for the control of higher order processes,” ISA Trans., Vol. 50, no. 3, pp. 376–88, 2011. DOI: 10.1016/j.isatra.2011.02.003.
  • N. Sayyaf, and M. S. Tavazoei, “Desirably adjusting gain margin, phase margin, and corresponding crossover frequencies based on frequency data,” IEEE Trans. Ind. Inf., Vol. 13, no. 5, pp. 2311–21, 2017. DOI: 10.1109/TII.2017.2681842.
  • P. P. Arya, and S. Chakrabarty, “A robust internal model-based fractional order controller for fractional order plus time delay processes,” IEEE Control Syst. Lett., Vol. 4, no. 4, pp. 862–7, 2020. DOI: 10.1109/LCSYS.2020.2994606.
  • S. Srivastava, and V. S. Pandit, “A PI/PID controller for time delay systems with desired closed loop time response and guaranteed gain and phase margins,” J. Process Control, Vol. 37, pp. 70–7, 2016. DOI: 10.1016/j.jprocont.2015.11.001.
  • S. Elmadssia, K. Saadaoui, and M. Benrejeb, “PI controller design for time delay systems using an extension of the Hermite-Biehler theorem,” J. Ind. Eng., Vol. 2013, no. 2, pp. 1–6, 2013. DOI: 10.1155/2013/813037.
  • R. Trivedi, and P. K. Padhy, “Design of indirect fractional order IMC controller for fractional order processes,” IEEE Trans. Circuits Syst. II Express Briefs, Vol. 68, no. 3, pp. 968–72, 2021. DOI: 10.1109/TCSII.2020.3013404.
  • M. Li, P. Zhou, Z. Zhao, and J. Zhang, “Two-degree-of-freedom fractional order-PID controllers design for fractional order processes with dead-time,” ISA Trans., Vol. 61, pp. 147–54, 2016. DOI: 10.1016/j.isatra.2015.12.007.
  • Y. Luo, and Y. Q. Chen, “Fractional order [proportional derivative] controller for a class of fractional order systems,” Automatica, Vol. 45, no. 10, pp. 2446–50, 2009. DOI: 10.1016/j.automatica.2009.06.022.
  • H. Malek, Y. Luo, and Y. Chen, “Identification and tuning fractional order proportional integral controllers for time delayed systems with a fractional pole,” Mechatronics, Vol. 23, no. 7, pp. 746–54, Oct. 2013. DOI: 10.1016/j.mechatronics.2013.02.005.
  • B. Bandyopadhyay, and S. Kamal, “Stabilization and control of fractional order systems: A sliding mode approach,” Lect. Notes Electr. Eng., Vol. 317, pp. 1–231, 2015. DOI: 10.1007/978-3-319-08621-7_1.
  • B. J. Lurie, L. Crescenta, N. Aeronautics, and P. E. Gordon. “Three-parameter tunable tilt-integral-derivative (TID) controller,” no. 19, 1994, [Online]. Available:https://patents.google.com/patent/US5371670A/en.
  • A. Koszewnik, E. Pawłuszewicz, and M. Ostaszewski, “Experimental studies of the fractional PID and TID controllers for industrial process,” Int. J. Control. Autom. Syst., Vol. 19, no. X, pp. 1–16, 2021. DOI: 10.1007/s12555-020-0123-4.
  • S. Kumari, and G. Shankar, “Novel application of integral-tilt-derivative controller for performance evaluation of load frequency control of interconnected power system,” IET Gener. Transm. Distrib., Vol. 12, no. 14, pp. 3550–60, 2018. DOI: 10.1049/iet-gtd.2018.0345.
  • J. Park, R. A. Martin, J. D. Kelly, and J. D. Hedengren, “Benchmark temperature microcontroller for process dynamics and control,” Comput. Chem. Eng., Vol. 135, p. 106736, 2020. DOI: 10.1016/j.compchemeng.2020.106736.
  • S. Sharma, and P. K. Padhy, “An indirect approach for online identification of continuous time-delay systems,” Int. J. Numer. Model. Electron. Networks, Devices Fields, Vol. n/a, no. n/a, p. e2947, Aug. 2021. DOI: 10.1002/jnm.2947.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.