CFP last date
20 May 2024
Reseach Article

Design of Controllers for Higher-Order-plus-Delay-Time Processes: A Practical Solution

by Gajanan M. Malwatkar, Laxman M. Waghmare
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 1 - Number 21
Year of Publication: 2010
Authors: Gajanan M. Malwatkar, Laxman M. Waghmare
10.5120/62-653

Gajanan M. Malwatkar, Laxman M. Waghmare . Design of Controllers for Higher-Order-plus-Delay-Time Processes: A Practical Solution. International Journal of Computer Applications. 1, 21 ( February 2010), 34-39. DOI=10.5120/62-653

@article{ 10.5120/62-653,
author = { Gajanan M. Malwatkar, Laxman M. Waghmare },
title = { Design of Controllers for Higher-Order-plus-Delay-Time Processes: A Practical Solution },
journal = { International Journal of Computer Applications },
issue_date = { February 2010 },
volume = { 1 },
number = { 21 },
month = { February },
year = { 2010 },
issn = { 0975-8887 },
pages = { 34-39 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume1/number21/62-653/ },
doi = { 10.5120/62-653 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T19:47:31.267120+05:30
%A Gajanan M. Malwatkar
%A Laxman M. Waghmare
%T Design of Controllers for Higher-Order-plus-Delay-Time Processes: A Practical Solution
%J International Journal of Computer Applications
%@ 0975-8887
%V 1
%N 21
%P 34-39
%D 2010
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, a simple design method of proportional-integral (PI) controllers is proposed for higher order (HO)-plus delay time (HOPDT) processes. This controller is designed to handle higher order processes with long dead times, long time constants, and monotonic or oscillatory responses. The method is based on the real and imaginary values of the higher order processes for the desired settling time, and constraints on the complementary sensitivity function to handle the high frequency noise rejection. The procedure seems to be simpler, effective and improved performance can be expected of the various processes. The method has guarantee of existence of the solution. A simulation example and real time experimental level system are included to show the effectiveness, simplicity and practical applicability of the proposed method.

References
  1. Astrom, K. J., and Hagglund T, 1995. PID controllers: theory, design and tuning, USA: Instrument Society of America.
  2. Astrom, K. J., Hagglund, T., Hang, C. C., and Ho, W. K. , 1993. Automatic Tuning and Adaptation for PID Controllers-A Survey, IFAC J. Control Eng. Practice, Vol.1, no.4, pp.699-714.
  3. Astrom , K. J., and Hagglund, T., 2001. The Future of PID Control, IFAC J. Control Engineering Practice, Vol. 9, pp. 1163-1175.
  4. Ching-Hung Lee, 2004. A Survey of PID Controller Design Based on Gain and Phase Margins (Invited Paper), International Journal of Computational Cognition Vol. 2, No. 3, pp. 63-100.
  5. H. W. Fung, Q. G. Wang, and T. H. Lee, 1998. PI tuning in Terms of Gain and Phase Margins, Automatica, vol. 34, No. 9, pp. 1145-1149.
  6. W. K. Ho, C. C. Hang, and L. S. Cao, 1995. Tuning of PID controllers based on gain and phase margin specifications, Automatica, vol. 31, no. 3, 497-502.
  7. W. K. Ho, O. P. Gan, E. B. Tay, and E. L. Ang, 1996. Performance and Gain and Phase Margins of Well-known PID Tuning Formulas, IEEE Trans. Control Systems Technology, Vol. 4, No. 11, pp. 473-477.
  8. Qing-Guo Wang, Tong-Heng Lee, Ho-Wang Fung, Qiang Bi, and Yu Zhang, 1999. PID Tuning for Improved Performance, IEEE Transactions on Control System Technology, Vol. 7, No. 4, 457-465.
  9. G. M. Malwatkar, S. H. Sonawane and L. M. Waghmare, 2009. Tuning PID controllers for higher-order oscillatory systems with improved performance, ISA Transactions, 48, 347-353
  10. A. Lepschy, and U. Viaro,1983. A note on the model reduction problem, IEEE Transactions on Automatic Control, vol. AC-28, no. 4, 525-527.
  11. W. Krajewski, A. Lepschy, and U. Viaro, 1994. Reduction of linear continuous-time multivariable systems by matching first and second-order information, IEEE Transactions on Automatic Control, vol. 39, no. 10, 2126-2129.
  12. N. K. Sinha, 1992. Reduced order models for linear systems, IEEE International Conference on Systems, Man and Cybernetics, 1992.
  13. P. S. Shingare, 2007. Fixed and Interval Model Reduction Techniques for Control System Design, Ph. D. thesis, Indian Institute of Technology Bombay, Mumbai.
  14. Qing-Guo Wang, Zhiping Zhang, Karl Johan Astrom, and Lee See Chek, 2009. Guaranteed dominant pole placement with PID controllers, Journal of Process Control 19, 349-352.
Index Terms

Computer Science
Information Sciences

Keywords

Delay time Desired settling time High order systems Sensitivity function PI controllers