Approximation Methods for FO-IMC Controllers for Time Delay Systems

Cristina I. Muresan; Isabela R. Birs; Ovidiu Prodan; Ioan Nascu; Robin De Keyser

doi:10.1051/e3sconf/201911501003

All issues

Volume 115 (2019)

E3S Web Conf., 115 (2019) 01003

References

Open Access

Issue		E3S Web Conf. Volume 115, 2019 2019 The 2^nd International Conference on Electrical Engineering and Green Energy (CEEGE 2019)


Article Number		01003
Number of page(s)		6
Section		Electronical Engineering
DOI		https://doi.org/10.1051/e3sconf/201911501003
Published online		02 September 2019

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[1] Oustaloup, A., Sabatier, J., & Lanusse, P. (1999). From fractional robustness to CRONE control. Fractional Calculus and Applied Analysis, 2, 1–30 [Google Scholar]

[2] Podlubny, I. (1999). Fractional-order systems and PIλDμ controllers. IEEE Transactions on Automatic Control, 44, 208–214 [Google Scholar]

[3] Monje, C.A., Chen, Y.Q., Vinagre, B.M., Xue, D., & Feliu, V. (2010). Fractional order Systems and Controls: Fundamentals and Applications, London: Springer-Verlag [CrossRef] [Google Scholar]

[4] Muresan, C.I., Ionescu, C., Folea, S., De Keyser, R. (2015). Fractional Order Control of Unstable Processes: The Magnetic Levitation Study Case, Nonlinear Dynamics, Vol. 80, No. 4, 1761–1772 [Google Scholar]

[5] Ding, Y., Wang, Z., & Ye, H. (2012). Optimal Control of a Fractional-Order HIV-Immune System With Memory, IEEE Transactions on Control Systems Technology, 20, 763–769 [CrossRef] [Google Scholar]

[6] Luo, Y., Chen, Y.Q., Ahn, H., & Pi, Y. (2012). Fractional order periodic adaptive learning compensation for the state-dependent periodic disturbance, IEEE Transactions on Control Systems Technology, 20, 465–472 [CrossRef] [Google Scholar]

[7] De Keyser, R., Muresan, C.I., Ionescu, C. (2016), A Novel Auto-tuning Method for Fractional Order PI/PD Controllers, ISA Trans., Vol. 62, 268–275 [Google Scholar]

[8] Vinopraba, T., Sivakumaran, N., & Narayanan, S. (2011). IMC Based Fractional order PID Controller, IEEE International Conference on Industrial Technology (ICIT) [Google Scholar]

[9] Tavakoli-Kakhki, M., & Haeri, M. (2011). Fractional order model reduction approach based on retention of the dominant dynamics: Application in IMC based tuning of FOPI and FOPID controllers. ISA Trans, 50, 432–442 [Google Scholar]

[10] Maâmar, B., & Rachid, M. (2014). IMC-PIDfractional-order-filter controllers design for integer order systems. ISA Trans, 53, 1620–1628 [Google Scholar]

[11] Valerio, D., & Sa da Costa, J. (2006). Tuning of fractional PID controllers with Ziegler–Nichols-type rules, Signal Processing, 86, 2771–2784 [Google Scholar]

[12] Vinopraba, T., Sivakumaran, N., Narayanan, S., & Radhakrishnan, T.K. (2012). Design of internal model control based fractional order PID controller. J Control Theory Appl., 10, 297–302 [CrossRef] [Google Scholar]

[13] Isfer, L.A.D., da Silva, G.S., Lenzi, M. K. & Lenzi, E.K. (2012). Generalization of internal model control loops using fractional calculus, Latin American Applied Research, 42 [Google Scholar]

[14] Sondhi, S., & Hote, Y.V. (2014). Fractional IMC design for fractional order gas turbine model, The 9th International Conference on Industrial and Information Systems (ICIIS), Dec. 15-17 2014 [Google Scholar]

[15] Muresan, C.I., Dutta, A., Dulf, E.H., Pinar, Z., Maxim, A., Ionescu, C.M. (2016), Tuning algorithms for fractional order internal model controllers for time delay processes, International Journal of Control, Vol. 89, No. 3, pp. 579–593 [Google Scholar]

[16] Li Z, Liu L, Dehghan S, et al. (2017), A review and evaluation of numerical tools for fractional calculus and fractional order controls. Int J Contr; 90(6): 1165–81. [CrossRef] [Google Scholar]

[17] De Keyser, R., Muresan, C.I., Ionescu, C.M. (2018), An efficient algorithm for low-order discrete-time implementation of fractional order transfer functions, ISA Transactions, vol. 74, pp. 229–238 [CrossRef] [PubMed] [Google Scholar]

[18] Rivera, D.E., M. Morari and S. Skogestad (1986). Internal Model Control. 4. PID Controller Design, Ind. Eng. Chem. Proc. Des. Dev., 25, 252–265 [CrossRef] [Google Scholar]