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Fractional Order PID Controller Optimized using Bacterial Foraging Technique for Three Interacting Tank Process considered as a Third Order Process

Published on October 2014 by U. Sabura Banu, P.r. Hemavathy, J.susai Mary
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National Conference on Computational Intelligence for Engineering Quality Software
Foundation of Computer Science USA
CIQS - Number 1
October 2014
Authors: U. Sabura Banu, P.r. Hemavathy, J.susai Mary
8783e40c-1084-4cf4-b2e2-a2e0ece8c5d4

U. Sabura Banu, P.r. Hemavathy, J.susai Mary . Fractional Order PID Controller Optimized using Bacterial Foraging Technique for Three Interacting Tank Process considered as a Third Order Process. National Conference on Computational Intelligence for Engineering Quality Software. CIQS, 1 (October 2014), 29-34.

@article{
author = { U. Sabura Banu, P.r. Hemavathy, J.susai Mary },
title = { Fractional Order PID Controller Optimized using Bacterial Foraging Technique for Three Interacting Tank Process considered as a Third Order Process },
journal = { National Conference on Computational Intelligence for Engineering Quality Software },
issue_date = { October 2014 },
volume = { CIQS },
number = { 1 },
month = { October },
year = { 2014 },
issn = 0975-8887,
pages = { 29-34 },
numpages = 6,
url = { /proceedings/ciqs/number1/18032-1707/ },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Proceeding Article
%1 National Conference on Computational Intelligence for Engineering Quality Software
%A U. Sabura Banu
%A P.r. Hemavathy
%A J.susai Mary
%T Fractional Order PID Controller Optimized using Bacterial Foraging Technique for Three Interacting Tank Process considered as a Third Order Process
%J National Conference on Computational Intelligence for Engineering Quality Software
%@ 0975-8887
%V CIQS
%N 1
%P 29-34
%D 2014
%I International Journal of Computer Applications
Abstract

In this paper, an attempt has been made to tune the fractional order PID controller parameters for three interacting tank process using Bacterial Foraging Algorithm (BFA). PID controllers are tuned to satisfy three control specifications as the tunable parameters are the proportional gain, integral gain and derivative gain. The search space can be improved by the investigation of fractional order PID which involves two more parameters, the integral order and the derivative order thereby handling two additional specifications. Grunwald-Letnikov definition is used for the defining the derivative controller and Oustaloup's filter technique is used for the approximation of the function. Tuning is complicated by the mathematical approach. The tuning is effected using BFA technique. The performance index selected is Integral Square Error (ISE). The proposed BFA tuned FOPID controller will serve as a viable controller for automating three interacting tank process.

References
  1. Gement, A. 1938, "On fractional differentials", Proc. Philosophical Magazine, 25, 2008, pp. 540-549.
  2. Méhauté, A. L. 1991, "Fractal Geometries: Theory and Applications", Penton Press.
  3. Oustaloup, A. 1991, "La Commande CRONE: Commande Robust Order Non Intiger", Hermes.
  4. Podlubny, I. 1999, "Fractional Diferential Equations", Academic Press, San Diego.
  5. Tenreiro Machado, J. A, "System modelling and control through fractional-order algorithms" FCAA – Journal of Fractional Calculus and Ap. Analysis, 4, (2001) pp. 47-66.
  6. Torvik, P. J. , L. Bagley, R. (1984), "On the appearance of the fractional derivative in the behaviour of real materials", ASME Journal of Applied Mechanics, 51 (june 1984), pp. 294- 298.
  7. Vinagre, B. M. , Petras, I. , Podlubny, I. , Chen, Y. Q. (2002), "Using fractional order adjustment rules and fractional order reference models in model-reference adaptive control", Nonlinear Dynamics, 29 (July 2002), pp. 269-279.
  8. Westerlund, S. 2002, "Dead Matter Has Memory", Causal Consulting Kalmar, Sweden.
  9. Astrom, K. ,Hagglund,T. 1995. "PID Controllers: Theory, Design and Tuning", Instrument Society of America, Research Triangle Park.
  10. Cao. J. , Liang,J. , Cao,B. 2005. "Optimization of fractional order PID controllers based on genetic algorithms", Proceedings of the International Conference on Machine Learning and Cybernetics, Guangzhou, 18–21 August.
  11. Caputo, M. "Linear model of dissipation whose Q is almost frequency independent—II", Geophysical Journal of the Royal Astronomical Society, 13, (1967), pp. 529–539.
  12. Caputo, M. 1969. "Elasticitae Dissipacione", Zanichelli ,Bologna.
  13. Chengbin, Ma. ,Hori,Y. 2004. "The application of fractional order PID controller for robust two-inertia speed control", Proceedings of the 4th International Power Electronics and Motion Control Conference, Xi'an, August.
  14. Chen Y. Q, Ahn H, Xue D. 2005. "Robust controllability of interval fractional order linear time invariant systems", Proceedings of the ASME 2005 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, LongBeach, CA, 24–28 September, pp. 1–9.
  15. Das S, Konar A, Chakraborty U. K. 2005. "Two improved differential evolution schemes for faster global search", ACM-SIGEVO Proceedings of GECCO, Washington, DC, June, pp. 991–998.
  16. Dorcak L. , Petras I. , Kostial I. , Terpak J. 2001. "State-space controller design for the fractional-order regulated system", Proceedings of the ICCC '2001, Krynica, pp. 15–20.
  17. Holland J. H. 1975. "Adaptation in Natural and Artificial Systems", University of Michigan Press, Ann Harbor.
  18. Lubich C. H. 1986. "Discretized fractional calculus", SIAM Journal on Mathematical Analysis, 17(3), pp. 704–719.
  19. Miller K. S. , Ross B. 1993. "An Introduction to the Fractional Calculus and Fractional Differential Equations", Wiley, New York.
  20. Nakagawa M, Sorimachi K. 1992. "Basic characteristics of a fractance device", IEICE Transactions on Fundamentals E75-A(12), pp. 1814–1819.
  21. K. M. Passino, "Biomimicry of bacterial foraging for distributed optimization and control", IEEE Control System Magazine, (June 2002), pp. 52-67.
  22. Liu. Y, Passino. K. M, "Biomimicry of Social Foraging Bacteria for Distributed Optimization: Models, Principles and Emergent Behaviours", Journal of Optimization Theory and Applications, Vol. 115, No. 3,( December 2000)pp. 603-628.
Index Terms

Computer Science
Information Sciences

Keywords

Bacterial Foraging Fractional Order Controller Interacting Tank Process Integral Square Error Optimization