References

International Journal of Applied Mathematics and Machine Learning

OPTIMAL TUNING OF FRACTIONAL ORDER CONTROLLER USING WOUND HEALING ALGORITHM BASED ON CLONAL SELECTION PRINCIPLE

[1] K. Ogata, Modern Control Engineering, Prentice Hall, New Jersey, 2002.

[2] K. Aström and T. Hagglund, PID Controllers: Theory, Design and Tuning, Instrument Society of America, North Carolina, 1995.

[3] C. Ma and Y. Hori, Fractional-order control: Theory and applications in motion control, IEEE Industrial Electronics Magazine 1(4) (2007), 6-16.
DOI: https://doi.org/10.1109/MIE.2007.909703

[4] A. Tustin, J. T. Allanson, J. M. Layton and R. J. Jakeways, The design of systems for automatic control of the position of massive objects, Proceedings of the IEE - Part C: Monographs 105(1S) (1958), 1-57.
DOI: https://doi.org/10.1049/pi-c.1958.0001

[5] C. Ma, Experimental verification of fractional order controller’s robustness using torsion test bench, Proceedings of the Chinese Control and Decision Conference (CCDC), 17-19 June 2009, Guilin, China, 335-340.
DOI: https://doi.org/10.1109/CCDC.2009.5195075

[6] S. Manabe, The Non-integer integral and its application to control systems, The Journal of the Institute of Electrical Engineers of Japan 80(860) (1960), 589-597.
DOI: https://doi.org/10.11526/ieejjournal1888.80.589

[7] S. Manabe, The system design by the use of non-integer integral and transport delay, The Journal of the Institute of Electrical Engineers of Japan 81(878) (1962), 1803-1812.
DOI: https://doi.org/10.11526/ieejjournal1888.81.1803

[8] I. Podlubny, Fractional-order systems and IEEE Transactions on Automatic Control 44(1) (1999), 208-214.
DOI: https://doi.org/10.1109/9.739144

[9] V. Çelik, Effects of Fractional Order Structures on the Nonlinear Behaviors, PhD. Thesis, Firat Universitesi, Türkiye, 2010.

[10] A. Tepljakov, E. Petlenkov, J. Belikov, FOMCON: Fractional-order modelling and control toolbox for MATLAB, Proceedings of the 18th International Conference on Mixed Design of Integrated Circuits and Systems (MIXDES), Gliwice, Poland (2011), 684-689.

[11] I. Dimeas, Design of an Integrated Fractional-Order Controller, M.Sc. Thesis, University of Patras, 2017.

[12] K. Matsuda and H. Fujii, optimized wave-absorbing control: Analytical and experimental results, Journal of Guidance, Control, and Dynamics 16(6) (1993), 1146-1153.
DOI: https://doi.org/10.2514/3.21139

[13] A. Oustaloup, F. Levron, B. Mathieu and F. M. Nanot, Frequency-band complex noninteger differentiator: Characterization and synthesis, IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 47(1) (2000), 25-39.
DOI: https://doi.org/10.1109/81.817385

[14] G. Carlson and C. Halijak, Approximation of fractional capacitors by a regular Newton process, IEEE Transactions on Circuit Theory 11(2) (1964), 210-213.
DOI: https://doi.org/10.1109/TCT.1964.1082270

[15] A. Charef, H. Sun, Y. Tsao and B. Onaral, Fractal system as represented by singularity function, IEEE Transactions on Automatic Control 37(9) (1992), 1465-1470.
DOI: https://doi.org/10.1109/9.159595

[16] I. Podlubny, I. Petráš, B. M. Vinagre, P. O’Leary and L. Dorčák, Analogue realizations of fractional-order controllers, Nonlinear Dynamics 29(1) (2002), 281-296.
DOI: https://doi.org/10.1023/A:1016556604320

[17] M. Çınar and A. Kaygusuz, Artificial immunity based wound healing algorithm for power loss optimization in smart grids, Advances in Electrical and Computer Engineering 20(1) (2020), 11-18.
DOI: https://doi.org/10.4316/AECE.2020.01002

[18] E. D. Kaymaz, Predicting the Cellular Localization Sites of Protein Patterns with k-NN Classification Algorithm Based Artificial Immune System, Master of Thesis, Firat University, Turkey, 2007.

[19] S. S. F Souza, R. Romero and J. F. Franco, Artificial immune networks Copt-aiNet and Opt-aiNet applied to the reconfiguration problem of radial electrical distribution systems, Electric Power Systems Research 119 (2015), 304-312.
DOI: https://doi.org/10.1016/j.epsr.2014.10.012

[20] M. S. Tavazoei, Notes on integral performance indices in fractional-order control systems, Journal of Process Control 20(3) (2010), 285-291.
DOI: https://doi.org/10.1016/j.jprocont.2009.09.005