CFP last date
22 April 2024
Reseach Article

Design of Integer and Fractional order PID Controller using Dominant Pole Placement Method

Published on May 2013 by Vineeta Ranjan, Sharad Jadhav, M.d. Patil
International Conference and Workshop on Emerging Trends in Technology 2014
Foundation of Computer Science USA
ICWET2014 - Number 2
May 2013
Authors: Vineeta Ranjan, Sharad Jadhav, M.d. Patil
2395e22a-832b-40d1-80bc-a7c9149f3bcd

Vineeta Ranjan, Sharad Jadhav, M.d. Patil . Design of Integer and Fractional order PID Controller using Dominant Pole Placement Method. International Conference and Workshop on Emerging Trends in Technology 2014. ICWET2014, 2 (May 2013), 19-24.

@article{
author = { Vineeta Ranjan, Sharad Jadhav, M.d. Patil },
title = { Design of Integer and Fractional order PID Controller using Dominant Pole Placement Method },
journal = { International Conference and Workshop on Emerging Trends in Technology 2014 },
issue_date = { May 2013 },
volume = { ICWET2014 },
number = { 2 },
month = { May },
year = { 2013 },
issn = 0975-8887,
pages = { 19-24 },
numpages = 6,
url = { /proceedings/icwet2014/number2/16539-1434/ },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Proceeding Article
%1 International Conference and Workshop on Emerging Trends in Technology 2014
%A Vineeta Ranjan
%A Sharad Jadhav
%A M.d. Patil
%T Design of Integer and Fractional order PID Controller using Dominant Pole Placement Method
%J International Conference and Workshop on Emerging Trends in Technology 2014
%@ 0975-8887
%V ICWET2014
%N 2
%P 19-24
%D 2013
%I International Journal of Computer Applications
Abstract

Over the last few decades, controllers found in the industries are mostly PID controllers. They have found large recognition and applications in several industries. The majority of the controllers used in process control are of PID type. The control loops which are not properly tuned, give reduced output and inappropriate and undesired performance. There are continuous researches going on to develop new methods for PID tuning and designing. A number of algorithms have been developed by scientists and suitable methods depending upon the applications are adopted by the industries for PID tuning and designing. Several tuning methods are present but they have some restrictions. These methods do not give desired tuning parameterizations for the control systems which have higher order and delay systems. The method which is named as Dominant pole placement method provides better tuning parameterizations for the above mentioned type of systems. In this method a pair of desired poles is chosen such that the requirements of the control system are converted in terms of these chosen poles. These poles are termed as dominant poles. This is an easy design method which when implemented for various types of plant processes gives desired result. This type of controller can tune plant processes with long dead times, long time constants, and monotonic or oscillatory responses. In this method, desired closed loop performance which is performance specifications, are identified and then the dominant poles are converted in terms of these performance specifications. In this paper, the performance specifications are settling time and peak overshoot. Also constraints have been put on complementary sensitivity function to handle the high frequency noise rejection and to get more mathematical equations to solve further. The method is then extended to fractional order system with a fractional order controller. For fractional order model there is no direct method of expressing dominant poles in terms of performance specifications, so the method starts with the assumption of dominant poles. The procedure is simple, efficient and gives better performance for different types of control systems.

References
  1. I. J. Nagrath and M. Gopal, Control Systems Engineering. New Age International (P) limited Publishers. ,
  2. K. Ogata. , Modern Control Engineering, Upper Saddle River, NJ. : Prentice Hall Inc. , 4th edition. , 2002Aidan O'Dwyer. 2006 PI and PID controller tuning rules: an overview and personal perspective. Proceedings of the {IET} Irish Signals and Systems Conference.
  3. L. M. G. M. Malwatkar. , Design of controllers for higher-order-plus-delay-time processes: A practical solution. ," International Journal of Computer Applications (0975-8887) 1(21) 34:39, 2010.
  4. K. H. G. Chong Ang and Y. Li. ,PID control system analysis, design and technology. ," IEEE Transaction on Control Systems Technology 13, 2005. Arbor, MI: University of Michigan Press 1975, Second edition, Cambridge, MA: The MIT Press, 1992.
  5. K. J. Astrom and T. Hagglund. , PID controller: Theory, design and tuning, second edition. ," Instrument Society of America. Research Triangle Park, 1995. KiamHeongAng, Gregory Chong and Yun Li, "PID Control System Analysis, Design and Technology", IEEE Transactions On Control Systems Technology, vol 13, no 4, pp. 555-576, 2005.
  6. T. -H. L. Ho-Wang Fung Qiang Bi Qing-GuoWang and Y. Zhang. , Pid tuning for improved performance," IEEE Transactions on Control System Technology,7(4):457-65, 1999.
  7. M. Q. G. Wang B. Huang Liu and C. C. Hang. , Improved identification of continuous time delay processes from piecewise step tests. ," Journal of Process Control, (17):51-57,, 2007.
  8. Trans. P. Persson and K. J. Astrom, Dominant pole design - a unified view of PID controllertuning. ," Adaptive systems in control and signal processing 1992:selected papers from the Fourth IFAC Symposium, Grenoble, France, pp. 377{382, 1993
  9. P. Persson and K. J. Astrom, Dominant pole design - a unified view of PID controller tuning. ," Adaptive systems in control and signal processing 1992:selected papers from the Fourth IFAC Symposium, Grenoble, France, pp. 377{382, 1993.
  10. Y. G. P. Rui Ping Wang, Fractional order proportional and derivative controller design for second-order systems with pure time-delay," ," Mechatronic Science, Electric Engineering and Computer (MEC), International Conference, pp. 1321 { 1325, 2011.
  11. Y. C. e. a. C A Monje, Fractional-order Systems and Controls. Glasgow, Scotland, UK: Springer, 2010.
  12. G. Z. Ioan D. Landau, Digital Control System Saint Martin d'Heres, France: Springer, 1938.
  13. Y. Luo, Synthesis of robust pid controllers design with complete information on pre specifications for the foptd systems ," American Control Conference(ACC), pp. 5013, 5018, 2011.
  14. J. Rommes, Effcient computation of transfer function dominant poles using sub space acceleration," Power System, IEEE Transactions, vol. 21, pp. 1218 { 1226, 2006.
  15. A. Gambier, Digital pid controller design based on parametric optimization," Control Applications, CCA, IEEE International Conference, pp. 792 { 797, 2008.
Index Terms

Computer Science
Information Sciences

Keywords

Dominant Poles Pid Tuning Oustaloup Recursive Approximation Technique