Design of a fractional order PID controller with application to an induction motor drive

Ashraf SALEEM, (Department of Electrical and Computer Engineering, Sultan Qaboos University, Muscat, Oman)
Hisham SOLIMAN, (Department of Electrical and Computer Engineering, Sultan Qaboos University, Muscat, Oman)
Serein AL RATROUT, (Information Technology Department, Al Zahra College for Women, Muscat, Oman)
Mostefa MESBAH (Department of Electrical and Computer Engineering, Sultan Qaboos University, Muscat, Oman)
Turkish Journal of Electrical Engineering and Computer Sciences
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Yıl: 2018 Cilt: 26 Sayı: 5 Sayfa Aralığı: 2768 - 2778 Metin Dili: İngilizce DOI: 10.3906/elk-1712-183 İndeks Tarihi: 29-07-2022

Design of a fractional order PID controller with application to an induction motor drive

Öz:
In this paper, a new method for designing a fractional-order proportional-integral-derivative (FO-PID) controller with an application to an induction motor drive is proposed. In the proposed method, the motor drive is modeled using an autoregressive with exogenous input (ARX) model whose parameters are experimentally identified using real I/O data. A genetic algorithm is then used to find the FO-PID parameters. To guarantee the robustness of the controller against load variations, minimax optimization is adopted. To validate the results, the proposed controller is applied to a real-life motor drive using a hardware-in-the-loop (HIL) simulator. The experimental results show that the proposed controller significantly improves the time response of the induction motor compared to a conventional PID controller. It also shows it is robust against motor load variations.
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  • [1] Krishnan R. Electric Motor Drives: Modeling, Analysis, and Control. 1st ed. Upper Saddle River, NJ, USA: Prentice Hall, 2001.
  • [2] Soliman HM, Saleem A, Tutunji TA, Al Ratrout S. Robust digital pole-placer for electric drives based on uncertain Diophantine equation and interval mathematics. T I Meas Control 2018; 40: 2546-2559.
  • [3] Astrom K, Hagglund I. PID Controllers: Theory, Design and Tuning. 2nd ed. Durham, NC, USA: Instrument Society of America, 1995.
  • [4] Cominos P, Munro N. PID controllers: recent tuning methods and design to specification. IEE Proc Control Theory Appl 2002; 149: 46-53.
  • [5] Rahimian M, Tavazoei M. Improving integral square error performance with implementable fractional-order PI controllers. Optim Contr Appl Met 2014; 35: 303-323.
  • [6] Podlubny I. Fractional-order systems and $PI^lambda D^mu$ controllers. IEEE T Automat Contr 1999; 44: 208-213.
  • [7] Podlubny I, Dorcák L, Kostial I. On fractional derivatives, fractional-order dynamic systems and $PI^lambda D^mu$ controllers. In: 36th IEEE Conference on Decision and Control. 10–12 Dec 1997; San Diego, CA, USA.
  • [8] Duma R, Dobra P, Trusca M. Embedded application of fractional order control. Electronics Letters 2012; 48: 1526-1528.
  • [9] Merrikh-Bayat F, Karimi-Ghartemani M. Method for designing $PI^lambda D^mu$ stabilizers for minimum-phase fractionalorder systems. IET Control Theory A 2010; 4: 61-70.
  • [10] Yeroglu C, Onat C, Tan N. A new tuning method for $PI^lambda D^mu$ controller. In: Proceedings of the Electrical and Electronics Engineering; 5–8 Nov 2009; Bursa, Turkey.
  • [11] Monje A, Chen YQ, Vinagre BM, Xue D, Feliu V. Fractional-order Systems and Controls: Fundamentals and Applications. 1st ed. London, UK: Springer-Verlag, 2010.
  • [12] Zeng GQ, Chen J, Dai YX, Li LM, Zheng CW, Chen MR. Design of fractional order PID controller for automatic regulator voltage system based on multi-objective extremal optimization. Neurocomputing 2015; 160: 173-184.
  • [13] Al-Ratrout S, Saleem A, Soliman H. Optimization methods in fractional order control of electric drives: a comparative study. In: 10th IEEE International Symposium on Mechatronics and its Applications (ISMA). 8–10 Dec 2015; Sharjah, UAE.
  • [14] Ogata K. Modern Control Engineering. 5th ed. Upper Saddle River, NJ, USA: Pearson, 2009.
  • [15] Tutunji TA, Saleem A. Weighted parametric model identification of induction motors with variable loads using FNN structure and NN2TF algorithm. T I Meas Control 2018, 40: 1645-1658.
  • [16] Khubalkar S, Chopade A, Junghare A, Aware M, Das S. Design and realization of stand-alone digital fractional order PID controller for buck converter fed DC motor. Circ Syst Signal Pr 2016; 35: 2189-2211.
  • [17] Luo Y, Zhang T, Lee BJ, Kang C, Chen YQ. Fractional-order proportional derivative controller synthesis and implementation for hard-disk-drive servo system. IEEE T Contr Syst T 2014; 22: 281-289.
  • [18] Özdemir MT, Öztürk D, Eke İ, Çelik V, Lee KY. Tuning of optimal classical and fractional order PID parameters for automatic generation control based on the bacterial swarm optimization. In: 9th IFAC Symposium on Control of Power and Energy Systems. 9–11 Dec 2015; New Delhi, India.
  • [19] Al-Alaoui MA. Novel digital integrator and differentiator. Electronics Letters 1993; 29: 376-378.
  • [20] Al-Alaoui MA. Al-Alaoui operator and the new transformation polynomials for discretization of analogue systems. Electrical Engineering 2008; 29: 455-467.
  • [21] Chena YQ, Vinagre BM. A new IIR-type digital fractional order differentiator. Signal Processing 2003; 83: 2359- 2365.
  • [22] Petráš I. An effective numerical method and its utilization to solution of fractional models used in bioengineering applications. Adv Differential Equ 2011; 2011: 1-14.
  • [23] Isermann R, Münchhof M. Identification of Dynamic Systems: An Introduction with Applications. 1st ed. London, UK: Springer-Verlag, 2010.
  • [24] Tarhuni NG, Saleem A, Mesbah M. On-line denoising of motor speed control loop using order statistics filtering. In: 10th IEEE International Symposium on Mechatronics and its Applications (ISMA). 8–10 Dec 2015; Sharjah, UAE.
  • [25] Soliman HM, Bayoumi EHE, Hassan MF. Power system stabilizer design for minimal overshoot and control constraint using swarm optimization. Electr Pow Compo Sys 2009; 37: 111-126.
  • [26] Çelik V, Demir, Y. Effects on the chaotic system of fractional order $PI^alpha$ controller. Nonlinear Dynam 2010; 59: 143-159.
APA Saleem A, soliman h, Al-Ratrout S, MESBAH M (2018). Design of a fractional order PID controller with application to an induction motor drive. , 2768 - 2778. 10.3906/elk-1712-183
Chicago Saleem Ashraf,soliman hisham,Al-Ratrout Serein,MESBAH Mostefa Design of a fractional order PID controller with application to an induction motor drive. (2018): 2768 - 2778. 10.3906/elk-1712-183
MLA Saleem Ashraf,soliman hisham,Al-Ratrout Serein,MESBAH Mostefa Design of a fractional order PID controller with application to an induction motor drive. , 2018, ss.2768 - 2778. 10.3906/elk-1712-183
AMA Saleem A,soliman h,Al-Ratrout S,MESBAH M Design of a fractional order PID controller with application to an induction motor drive. . 2018; 2768 - 2778. 10.3906/elk-1712-183
Vancouver Saleem A,soliman h,Al-Ratrout S,MESBAH M Design of a fractional order PID controller with application to an induction motor drive. . 2018; 2768 - 2778. 10.3906/elk-1712-183
IEEE Saleem A,soliman h,Al-Ratrout S,MESBAH M "Design of a fractional order PID controller with application to an induction motor drive." , ss.2768 - 2778, 2018. 10.3906/elk-1712-183
ISNAD Saleem, Ashraf vd. "Design of a fractional order PID controller with application to an induction motor drive". (2018), 2768-2778. https://doi.org/10.3906/elk-1712-183
APA Saleem A, soliman h, Al-Ratrout S, MESBAH M (2018). Design of a fractional order PID controller with application to an induction motor drive. Turkish Journal of Electrical Engineering and Computer Sciences, 26(5), 2768 - 2778. 10.3906/elk-1712-183
Chicago Saleem Ashraf,soliman hisham,Al-Ratrout Serein,MESBAH Mostefa Design of a fractional order PID controller with application to an induction motor drive. Turkish Journal of Electrical Engineering and Computer Sciences 26, no.5 (2018): 2768 - 2778. 10.3906/elk-1712-183
MLA Saleem Ashraf,soliman hisham,Al-Ratrout Serein,MESBAH Mostefa Design of a fractional order PID controller with application to an induction motor drive. Turkish Journal of Electrical Engineering and Computer Sciences, vol.26, no.5, 2018, ss.2768 - 2778. 10.3906/elk-1712-183
AMA Saleem A,soliman h,Al-Ratrout S,MESBAH M Design of a fractional order PID controller with application to an induction motor drive. Turkish Journal of Electrical Engineering and Computer Sciences. 2018; 26(5): 2768 - 2778. 10.3906/elk-1712-183
Vancouver Saleem A,soliman h,Al-Ratrout S,MESBAH M Design of a fractional order PID controller with application to an induction motor drive. Turkish Journal of Electrical Engineering and Computer Sciences. 2018; 26(5): 2768 - 2778. 10.3906/elk-1712-183
IEEE Saleem A,soliman h,Al-Ratrout S,MESBAH M "Design of a fractional order PID controller with application to an induction motor drive." Turkish Journal of Electrical Engineering and Computer Sciences, 26, ss.2768 - 2778, 2018. 10.3906/elk-1712-183
ISNAD Saleem, Ashraf vd. "Design of a fractional order PID controller with application to an induction motor drive". Turkish Journal of Electrical Engineering and Computer Sciences 26/5 (2018), 2768-2778. https://doi.org/10.3906/elk-1712-183
Sayfa Oluşturulma Tarihi
24-04-2024 0:11

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