Skip to main content

Initial Comparison of Experimental Vs. Simulation Results of Velocity Fractional-Order PI Controller of a Servo Drive

  • Conference paper
  • First Online:
Automation 2017 (ICA 2017)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 550))

Included in the following conference series:

Abstract

In the paper, an initial comparison of experimental vs. simulation results from a tracking system is presented, in the case of a Fractional-Order PI controller for a time-delay system. The controller is implemented as to work in real-time regime, for the Modular Servo System (Inteco). Based on theoretical results, stability regions are computed using Hermite-Biehler and Pontryagin theorems. Next, based on identification carried out in previous work, simulation results of a tracking performance (velocity control) are presented, and compared with experimental results from the laboratory stand, to verify if any conclusions can be drawn using computer models, concerning real-world control system with fractional-order controller. To compare control performance, IAE and ISE indices are used.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. User’s Manual, Modular Servo System. www.inteco.com.pl

  2. Bellman, R., Cooke, K.L.: Differential-Difference Equations. Academic Press, New York (1963)

    MATH  Google Scholar 

  3. Caponetto, R., Dongola, G., Fortuna, L., Petras, L.: Fractional Order Systems Modeling and Control Applications. World Scientific Series on Nonlinear Science, Series A, vol. 72. World Scientific Publishing, Singapore (2010)

    Google Scholar 

  4. Giernacki, W., Horla, D., Sadalla, T.: Mathematical models database (MMD ver. 1.0) non-commercial proposal for researchers. In: Proceedings of the 21st International Conference on Methods and Models in Automation and Robotics, Miedzyzdroje, pp. 555–558 (2016). doi:10.1109/MMAR.2016.7575196

  5. Hafasi, S., Laabidi, K., Farkh, R.: Synthesis of a fractional PI controller for a first-order time delay system. Trans. Inst. Meas. Control 35(8), 997–1007 (2013)

    Article  Google Scholar 

  6. Horla, D.: Minimum variance adaptive control of a servo drive with unknown structure and parameters. asian J. Control 15(1), 120–131 (2013). doi:10.1002/asjc.479

    Article  MathSciNet  MATH  Google Scholar 

  7. Kaczorek, T.: Selected Problems of Fractional Systems Theory. Springer, Heidelberg (2011)

    Book  MATH  Google Scholar 

  8. Latawiec, K.J., Łukaniszyn, M., Stanisławski, R.: Advances in Modelling and Control of Non-integer Order Systems. LNEE, vol. 320. Springer, Heidelberg (2014)

    MATH  Google Scholar 

  9. Natori, K.: A design method of time-delay systems with communication disturbance observer by using pade approximation, pp. 1–6. IEEE (2012)

    Google Scholar 

  10. Natori, K., Ohnishi, K.: A design method of communication disturbance observer for time-delay compensation, taking the dynamic property of network disturbance into account. IEEE Trans. Ind. Electron. 55(5), 2152–2168 (2008)

    Article  Google Scholar 

  11. Podlubny, I.: Fractional Differential Equations. Academic Press, New York (1999)

    MATH  Google Scholar 

  12. Podlubny, I.: Fractional order systems and PID controller. In: Proceedings of the IEEE Transaction on Automatic Control, Vol. 44(2) pp. 208–214 (1999)

    Google Scholar 

  13. Sadalla, T., Horla, D.: Analysis of simple anti-windup compensation in approximate pole-placement control of a second order oscillatory system with time-delay. In: 20th International Conference on Methods and Models in Automation and Robotics (MMAR), pp. 1062–1066 (2015). doi:10.1109/MMAR.2015.7284026

  14. Sadalla, T., Horla, D.: Analysis of simple anti-windup compensation in pole-placement control of a second order oscillatory system. Meas. Autom. Monit. (MAM) 61(2), 54–57 (2015)

    Google Scholar 

  15. Sadalla, T., Horla, D.: Stability analysis and tracking performance of fractional-order PI controller for a second-order oscillatory system with time-delay. In: 21th International Conference on Methods and Models in Automation and Robotics (MMAR), pp. 322–326 (2016). doi:10.1109/MMAR.2016.7575155

  16. Sadalla, T., Horla, D.: Stability analysis of simple anti-windup compensation in approximate pole-placement control of a second order oscillatory system with time delay. In: 21th International Conference on Methods and Models in Automation and Robotics (MMAR), pp. 312–315 (2016). doi:10.1109/MMAR.2016.7575153

  17. Tahami, F., Esmaeilnejad, M.B.: Speed control of servo drives with a flexible couplings using fractional order state feedback. In: 2014 5th Power Electronics, Drive Systems and Technologies Conference (PEDSTC), pp. 25–30 (2014)

    Google Scholar 

  18. Tepljakov, A., Petlenkov, E., Belikov, J., Finajev, J.: Fractional-order controller design and digital implementation using FOMCON toolbox for MATLAB. In: IEEE Conference on Computer Aided Control System Design (CACSD), pp. 340–345 (2013)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Talar Sadalla .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Sadalla, T., Horla, D. (2017). Initial Comparison of Experimental Vs. Simulation Results of Velocity Fractional-Order PI Controller of a Servo Drive. In: Szewczyk, R., Zieliński, C., Kaliczyńska, M. (eds) Automation 2017. ICA 2017. Advances in Intelligent Systems and Computing, vol 550. Springer, Cham. https://doi.org/10.1007/978-3-319-54042-9_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-54042-9_7

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-54041-2

  • Online ISBN: 978-3-319-54042-9

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics