Skip to main content
SpringerLink
Log in

Dominant Pole Placement with Modified PID Controllers

  • Published:
International Journal of Control, Automation and Systems Aims and scope Submit manuscript

Abstract

In this paper, the limitations of the standard PID controller for dominant pole placement has been analyzed. Study shows that the modified PID controller, such as PI-D, I-PD, PI-PD and PD-PID controller, is an alternative to solve this problem. For the PI-PD and PD-PID controller, the zeros can be placed on the poles that are close to the specified dominant poles. The conditions for the existence of the dominant poles could be relaxed by pole-zero cancellation. Results show that a good dominant effect with fast response can be realized by the modified PID controllers.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. K. J. Astrom and T. Hagglund, Advanced PID Control, Research Triangle Park: Instrumentation, Systems, and Automation Society, 2006.

    Google Scholar 

  2. Q. G. Wang, Z. P. Zhang, K. J. Astrom, and L. S. Chek, “Guaranteed dominant pole placement with PID controllers”, Journal of Process Control, vol. 19, no. 2, pp. 349–352, 2009.

    Article  Google Scholar 

  3. P. Persson and K. J. Astrom, “Dominant pole design — a unified view of PID controller tuning”, IFAC Proceedings Volumes, vol. 25, no. 14, pp. 377–382, 1992.

    Article  Google Scholar 

  4. K. Ogata, Modern Control Engineering, 5th ed., Prentice Hall, 2010.

    MATH  Google Scholar 

  5. T. Hagglund and K. J. Astrom, “Automatic tuning of PID controllers based on dominant pole design”, IFAC Proceedings Volumes, vol. 18, no. 15, pp. 205–210, 1987.

    Article  Google Scholar 

  6. W. Tang, Q. G. Wang, Z. Ye, and Z. Zhang, “PID tuning for dominant poles and phase margin”, Proc. of 9th International Conf. on Control, Automation, Robotics and Vision, Singapore, pp. 1–3, 2006.

    Google Scholar 

  7. J. C. Liu, H. H. Wang, and Y. Zhang, “New result on PID controller design of LTI systems via dominant eigenvalue assignment”, Automatica, vol. 62, pp. 93–97, 2015.

    Article  MathSciNet  Google Scholar 

  8. E. Dincel and M. T. Soylemez, “Limitations on dominant pole pair selection with continuous PI and PID controllers”, Proc. of International Conf. on Control, Decision and Information Technologies, Malta, pp. 741–745, 2016.

    Google Scholar 

  9. K. J. Astrom and T. Hagglund, “PID controllers — theory design and tuning, 2nd edition”, Proc. of the 26th Conf. Decision and Control, pp. 98–99, 1987.

    Google Scholar 

  10. I. Branica, I. Petrovic, and N. Peric, “Toolkit for PID dominant pole design”, Proc. of 9th International Conf. on Electronics, Circuits and Systems, vol. 3, pp. 1247–1250, 2002.

    Article  Google Scholar 

  11. P. Zitek, J. Fiser, and T. Vyhlidal, “Dimensional analysis approach to dominant three-pole placement in delayed PID control loops”, Journal of Process Control, vol. 23, pp. 1063–1074, 2013.

    Article  Google Scholar 

  12. R. C. Dorf and R. H. Bishop, Modern Control Systems, 9th ed., Prentice-Hall, Upper Saddle River, New Jersey, pp. 232–235, 2001.

    Google Scholar 

  13. Y. Y. Li, A. D. Shen, and Q. Q. Qi„ “Further results on guaranteed dominant pole placement with PID controllers”, Proc. of the 30th Chinese Control Conference, Yantai, China, pp. 3756–3760, 2011.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. State Key Laboratory of Virtual Reality Technology and Systems, Beihang University, Beijing, 100191, China

    Huanchao Du, Xiaoguang Hu & Chaoqun Ma

Authors
  1. Huanchao Du
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Xiaoguang Hu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Chaoqun Ma
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Huanchao Du.

Additional information

Publisher’s Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Recommended by Editor Fumitoshi Matsuno.

Huanchao Du is currently pursuing a Ph.D. degree with the School of Automation Science and Electrical Engineering, Beihang University, Beijing, China. His research interests include control theory, and robust control.

Xiaoguang Hu received her B.S. degree from Northeast Electric Power University, Jilin, China, in 1983, an M.S. degree from Wuhan University of Hydraulic and Electric Engineering, Wuhan, China, in 1997, and a Ph.D. degree from Harbin Institute of Technology, Harbin, China, in 2003. She is currently a professor with the School of Automation Science and Electrical Engineering, Beihang University, Beijing, China. Her current research interests include image processing, embedded test system and smart grid.

Chaoqun Ma received his B.S. degree in Electrical Engineering and Automation from Shandongjianzhu University, Jinan, China, in 2013 and his M.S. degree in Control Theory and Control Engineering from Shenyang Aerospace University, Shenyang, China, in 2016. Currently, he is pursuing a Ph.D. degree in Detection Technology and Automation Devices, School of Automation Science and Electrical Engineering, Beihang University. His research interests include image registration and feature extraction.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Du, H., Hu, X. & Ma, C. Dominant Pole Placement with Modified PID Controllers. Int. J. Control Autom. Syst. 17, 2833–2838 (2019). https://doi.org/10.1007/s12555-018-0642-4

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12555-018-0642-4

Keywords

Search

Navigation