SavedAdd your journal

Journals / Journal of New Results in Science / 2016 / Cilt: 5 - Sayı: 11

Fractional Model Reference Adaptive PIλDμ Control

Hüseyin ARPACI
Ömerül Faruk ÖZGÜVEN
Mehmet Serhat CAN
Pages
102–117
Publication Date
2016-12-31
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

By means of the results obtained from simulation applications, fractional MRAPIλDμ control is compared to integer MRAPID control in terms of performance, speed and robustness.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This study explains the auto-adjustable fractional order the proportional–integral–derivative (PID) controller design methodology by using the technique of fractional model reference adaptive control (fractional MRAC).
📊
Key Findings & Data:This method purposes a fractional order model reference adaptive PID (fractional MRAPIλDμ) control structure by applying the MIT rule to an adaptive control system which is including fractional order PID controller.
💡
Conclusion & Impact:By means of the results obtained from simulation applications, fractional MRAPIλDμ control is compared to integer MRAPID control in terms of performance, speed and robustness.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Fractional calculus · fractional PID (PIλDμ) · Model Reference Adaptive Control

Abstract

This study explains the auto-adjustable fractional order the proportional–integral–derivative (PID) controller design methodology by using the technique of fractional model reference adaptive control (fractional MRAC). This method purposes a fractional order model reference adaptive PID (fractional MRAPIλDμ) control structure by applying the MIT rule to an adaptive control system which is including fractional order PID controller. This structure uses fractional order derivative, integral operators and fractional order reference model. Through this method, fractional order PID controller will be faster and more robustness. Respectively using integer PID and fractional order PID, the coefficients of them are determined with Zeigler-Nichols technique, simulation applications of the fractional MRAPIλDμ control and the model reference adaptive PID (MRAPID) control performed. By means of the results obtained from simulation applications, fractional MRAPIλDμ control is compared to integer MRAPID control in terms of performance, speed and robustness.

🔖

Cite This Article

ARPACI, H., ÖZGÜVEN, Ö. F., CAN, M. S. (2016). Fractional Model Reference Adaptive PIλDμ Control. Journal of New Results in Science, Cilt: 5 - Sayı: 11, 102–117. https://ajindex.com/articles/777907

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (11)

  1. I. Petras, B. M Vinagre, Practical application of digital fractional-order controller to temperature control, Acta Montanistica Slovaca. 7(2), pp. 131-137, 2002. A. J. Caldero´n, B. M. Vinagre, V. Feliu, Fractional order control strategies for power electronic buck converters, Signal Processing 86, pp. 2803–2819, 2006.
  2. V. Feliu-Batlle, R. R Pe´rez, L.S Rodrı´guez, Fractional robust control of main irrigation canals with variable dynamic parameters, Control Engineering Practice, Volume 15, Issue 6, pp. 673-686, 2007.
  3. W. Li, Y. H. Fellow, Vibration suppression using single neuron-based PI fuzzy controller and fractional-order disturbance observe”, IEEE Transactions on Industrial Electronics, Vol. 54, No.1, pp. 117-126, February 2007.
  4. R. S. Barbosa, J. A. T. Machado, I. S. Jesus, On the fractional PID control of a Laboratory servo system, Proceedings of the 17th World Congress The International Federation of Automatic Control Seoul, Korea, July 6-11, pp. 15273-15278, 2008.
  5. I. Podlubny, Fractional order systems and controllers, IEEE Transactions on Automatic Control, Vol. 44, No. 1, pp. 208-214, January 1999.
  6. I. Petras, B. N. Vinagre, L. Dorcak, V. Feliu, Fractional digital control of a heat solid: experimental results, In Proc. International Carpathian Control Conference ICCC’2002
  7. Malenovice, Czech Republic, pp. 27-30, May 2002.
  8. R. S. Barbosa, J. A. T. Machado,, I. M. Ferreira, A Fractional calculus perspective of PID tuning, In Proc. DETC’03, ASME 2003 Design Engineering Technical Conferences and Computers and Information in Engineering Conference Chicago, Illinois USA, 2003.
  9. R. S. Barbosa, J. A. T. Machado, I. M. Ferreira, Tuning of PID based on bode’s ideal transfer function, Nonlinear Dynamics 38, pp. 305–321, 2004.
  10. C. A. Monje, A. J. Calderon, B. M.Vinagre, Y. Q. Chen, V. Feliu, “On fractional PID controller some tuning rules for robustness to plant uncertainties”, Nonlinear Dynamics, 38, pp. 369–381, 2004.
  11. C. Zhao, D. Xue, Y. Q Chen, A fractional order PID tuning algorithm for a class of fractional order plants, Mechatronics and Automation, 2005 IEEE International Conference Vol. 1, pp. 216 – 221, 2005. D. Vale´rio, J. S. Costa, Tuning of fractional PID controllers with Ziegler–Nichols type rules”, Signal Processing, 86, pp. 2771–2784, 2006. D. Vale´rio, J. S. Costa, Tuning-rules for fractional PID controllers, Second IFAC Workshop on Fractional Differentiation and its Applications, Fractional Differentiation and its Applications, Volume 2, Part 1, 200