Fractional order based on genetic algorithm PID controller for controlling the speed of DC motors
Keywords:Buck Boost Converter, Genetic Algorithm, Fractional Order PID Controller, Speed Controlling on DC Motor.
Buck boost converter is a good interface between photo voltaic (PV) and the load. It is utilized in applications that require an output voltage of a value above or below the input voltage level. The benefit of using this circuit is to supply a stable and controlled output voltage regardless of the input voltage level. This research presents an optimal design method for fractional-order proportionalâ€“integral-derivative (FOPID) controllers of buck boost converter for the purpose of acquiring a group of desired properties. FOPID controller, usually denoted byã€–PI^Î¼ Dã€—^Î», is a special PID controller type in which its derivative and integral orders are fractions between zero and one. Thus, FOPID controller has five variables instead of three in compare with the classical PID controller. In this work, the FOPID is designed to control the speed of Direct Current (DC) motor fed by a buck boost converter. Genetic algorithm will be implemented to set the variables related to the fractional order controller of PID using various type of fitness function such as MSE, ISE and ITSE. The obtained results indicate an enhancement in the steady and transient state performance of system, including the time of settling and rise as well as peak overshoot.
style='mso-spacerun:yes'> ADDIN EN.REFLIST
 B. Joshi, R. Shrestha, and R. Chaudhar, "Modeling, Simulation and Implementation of Brushed DC Motor Speed Control Using Optical Incremental Encoder Feedback," in Proceedings of IOE Graduate Conference, 2014.
 C. S. Gohiya, S. Sadistap, S. Akbar, and B. Botre, "Design and development of digital PID controller for DC motor drive system using embedded platform for mobile robot," in Advance Computing Conference (IACC), 2013 IEEE 3rd International, 2013, pp. 52-55. https://doi.org/10.1109/IAdCC.2013.6514193.
 M. Udani, N. Patil, and D. Mehta, "Speed Control of DC Motor using Digital Control System," International Journal of Engineering Research & Technology (IJERT), vol. 3, 2014.
 J. Leyva-Ramos and J. A. Morales-Saldana, "Uncertainty models for switch-mode DC-DC converters," IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, vol. 47, pp. 200-203, 2000. https://doi.org/10.1109/81.828573.
 G. Garcera, A. Abellan, and E. Figueres, "Sensitivity study of the control loops of DC-DC converters by means of robust parametric control theory," IEEE Transactions on Industrial Electronics, vol. 49, pp. 581-586, 2002. https://doi.org/10.1109/TIE.2002.1005383.
 J. H. Deane and D. C. Hamill, "Instability, subharmonics, and chaos in power electronic systems," IEEE Transactions on Power Electronics, vol. 5, pp. 260-268, 1990. https://doi.org/10.1109/63.56516.
 S. Rafiei, R. Ghazi, R. Asgharian, M. Barakati, and H. Toliyat, "Robust control of DC/DC PWM converters: a comparison of H/sub/spl infin//,/spl mu/, and fuzzy logic based approaches," in Control Applications, 2003. CCA 2003. Proceedings of 2003 IEEE Conference on, 2003, pp. 603-608. https://doi.org/10.1109/CCA.2003.1223505.
 A. G. Beccuti, G. Papafotiou, and M. Morari, "Optimal control of the boost dc-dc converter," in Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC'05. 44th IEEE Conference on, 2005, pp. 4457-4462. https://doi.org/10.1109/CDC.2005.1582864.
 F. Alonge, F. D'Ippolito, and T. Cangemi, "Identification and robust control of DC/DC converter Hammerstein model," IEEE Transactions on Power Electronics, vol. 23, pp. 2990-3003, 2008. https://doi.org/10.1109/TPEL.2008.2005034.
 A. Saleem, H. Soliman, S. Al-Ratrout, and M. Mesbah, "Design of a fractional order PID controller with application to an induction motor drive," Turkish Journal of Electrical Engineering & Computer Sciences, vol. 26, pp. 2768-2778, 2018. https://doi.org/10.3906/elk-1712-183.
 P. Cominos and N. Munro, "PID controllers: recent tuning methods and design to specification," IEE Proceedings-Control Theory and Applications, vol. 149, pp. 46-53, 2002. https://doi.org/10.1049/ip-cta:20020103.
 M. A. Rahimian and M. S. Tavazoei, "Improving integral square error performance with implementable fractionalâ€order PI controllers," Optimal Control Applications and Methods, vol. 35, pp. 303-323, 2014. https://doi.org/10.1002/oca.2069.
 I. Podlubny, "Fractional-order systems and PI/sup/spl lambda//D/sup/spl mu//-controllers," IEEE Transactions on automatic control, vol. 44, pp. 208-214, 1999. https://doi.org/10.1109/9.739144.
 I. Podlubny, L. Dorcak, and I. Kostial, "On fractional derivatives, fractional-order dynamic systems and PI D controllers," in Proceedings of the 36th conference on decision & control, 1997, pp. 4985-4990.
 Y. Luo and J. Li, "The controlling parameters tuning and its application of fractional order PID bacterial foraging-based oriented by particle swarm optimization," in Intelligent Computing and Intelligent Systems, 2009. ICIS 2009. IEEE International Conference on, 2009, pp. 4-7. https://doi.org/10.1109/ICICISYS.2009.5357944.
 R. Duma, P. Dobra, and M. Trusca, "Embedded application of fractional order control," Electronics Letters, vol. 48, pp. 1526-1528, 2012. https://doi.org/10.1049/el.2012.1829.
 D. ValÃ©rio and J. S. da Costa, "Tuning of fractional PID controllers with Zieglerâ€“Nichols-type rules," Signal processing, vol. 86, pp. 2771-2784, 2006. https://doi.org/10.1016/j.sigpro.2006.02.020.
 F. Merrikh-Bayat and M. Karimi-Ghartemani, "Method for designing PIÎ»DÎ¼ stabilisers for minimum-phase fractional-order systems," IET control theory & applications, vol. 4, pp. 61-70, 2010. https://doi.org/10.1049/iet-cta.2008.0062.
 G.-Q. Zeng, J. Chen, Y.-X. Dai, L.-M. Li, C.-W. Zheng, and M.-R. Chen, "Design of fractional order PID controller for automatic regulator voltage system based on multi-objective extremal optimization," Neurocomputing, vol. 160, pp. 173-184, 2015. https://doi.org/10.1016/j.neucom.2015.02.051.
 C. W. De Silva, Modeling and control of engineering systems: Crc Press, 2009. https://doi.org/10.1201/9781420076875.
 M. Kushwah and A. Patra, "Tuning PID controller for speed control of DC motor using soft computing techniques-A review," Advance in Electronic and Electric Engineering, vol. 4, pp. 141-8, 2014.
 H. Guldemir, "Modeling and sliding mode control of dc-dc buck-boost converter," in Proc. 6th Int. advanced technological Symp, 2011, pp. 475-480.
 V. Sinlapakun and W. Assawinchaichote, "Optimized PID controller design for electric furnace temperature systems with Nelder Mead Algorithm," in Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology (ECTI-CON), 2015 12th International Conference on, 2015, pp. 1-4. https://doi.org/10.1109/ECTICon.2015.7206925.
Y. Chen, I. Petras, and D. Xue, "Fractional order control-a tutorial," in American Control Conference, 2009. ACCâ€™09, 2009, pp. 1397-1411. https://doi.org/10.1109/ACC.2009.5160719
font-family:"Times New Roman","serif";mso-fareast-font-family:Calibri;