CFP last date
20 January 2025
Reseach Article

Generating Lower Order System using Modified Truncation and PSO

Published on March 2013 by S. R. Desai, Rajendra Prasad
International Conference on Computing, Communication and Sensor Network
Foundation of Computer Science USA
CCSN2012 - Number 3
March 2013
Authors: S. R. Desai, Rajendra Prasad
b459e908-04fe-450a-9672-76febacbedb9

S. R. Desai, Rajendra Prasad . Generating Lower Order System using Modified Truncation and PSO. International Conference on Computing, Communication and Sensor Network. CCSN2012, 3 (March 2013), 17-21.

@article{
author = { S. R. Desai, Rajendra Prasad },
title = { Generating Lower Order System using Modified Truncation and PSO },
journal = { International Conference on Computing, Communication and Sensor Network },
issue_date = { March 2013 },
volume = { CCSN2012 },
number = { 3 },
month = { March },
year = { 2013 },
issn = 0975-8887,
pages = { 17-21 },
numpages = 5,
url = { /specialissues/ccsn2012/number3/10863-1027/ },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Special Issue Article
%1 International Conference on Computing, Communication and Sensor Network
%A S. R. Desai
%A Rajendra Prasad
%T Generating Lower Order System using Modified Truncation and PSO
%J International Conference on Computing, Communication and Sensor Network
%@ 0975-8887
%V CCSN2012
%N 3
%P 17-21
%D 2013
%I International Journal of Computer Applications
Abstract

A novel method of generating lower order system is being introduced which grasps the advantages of Particle Swarm Optimization (PSO) technique and Modified Truncation (MT) Method. The proposed combination of PSO and MT is applied to original fourth and sixth order Linear Time Invariant (LTI) systems. The denominator polynomial is reduced using MT and numerator term using PSO. The step responses of the resultant lower order system and the original system are compared and their performances are justified.

References
  1. Dia Abu-Al-Nadi, Othman MK Alsmadi, Zaer S Abo-Hammour," Reduced order modeling of linear mimo systems using particle swarm optimization", The Seventh International Conference on Autonomic and Autonomous Systems ICAS 2011,. ISBN: 978-1-61208-134-2, pp. 62-66, IARIA, 2011.
  2. Obinata, G. , and Anderson, B. D. O. , Model Reduction for Control System Design, London, Springer-Verlag, 2001.
  3. M. S. Mahmoud and M. G. Singh, Large Scale Systems Modelling, Pergamon Press, International Series on Systems and Control 1st ed. , Vol. 3, 1981.
  4. M. Jamshidi, Large Scale Systems Modelling and Control Series, New York, Amsterdam, Oxford, North Holland, Vol. 9, 1983.
  5. R. Prasad and J. Pal, "Use of continued fraction expansion for stable reduction of linear multivariable systems", Journal of Institution of Engineers, India, IE(I) Journal – EL, Vol. 72, pp. 43-47, June 1991.
  6. R. Prasad, A. K. Mittal and S. P. Sharma, "A mixed method for the reduction of multi-variable systems", Journal of Institution of Engineers, India, IE(I) Journal – EL, Vol. 85, pp. 177-181, March 2005.
  7. Antonio Lepschy and Umberto Viaro," A Note on the Model Reduction Problem", IEEE Transactions On Automatic Conixol, Vol. Ac-28, No. 4, April 1983.
  8. R. Genesio and M. Milanese,"A note on the derivation and use of reduced order models", IEEE Trans. Automat. Control, Vol. AC-21, No. 1, pp. 118-122, February 1976.
  9. A. C. Antoulas, D. C. Sorensen, S. Gugercin ,"A survey of model reduction methods for large-scale systems", Contemporary Mathematics, Vol. 280, pp. 193-219, 2001.
  10. Boby Philip, Jayanta Pal, "An Evolutionary Computation Based Approach for Reduced Order Modelling of Linear Systems", IEEE International Conference on Computational Intelligence and Computing Research (ICCIC), 2010, Coimbatore 28-29 Dec. 2010.
  11. Dia Abu-Al-Nadi, Othman MK Alsmadi and Zaer S. Abo-Hammour,"Reduced order modeling of linear MIMO systems using particle swarm optimization", The Seventh International Conference on Autonomic and Autonomous Systems(ICAS 2011),2011.
  12. S. N. Sivanandam and S. N. Deepa,"A Comparative Study Using Genetic Algorithm and Particle Swarm Optimization for Lower Order System Modelling ", International Journal of the Computer, the Internet and Management Vol. 17. No. 3 pp 1 -10 Sept - Dec, 2009.
  13. S. R. Desai, and Rajendra Prasad," Design of PID Controller using Particle Swarm Optimized Reduced Order Model", Eighth Control Instrumentation System Conference (An International Conference) CISCON-2011, Manipal, Nov. 3- 6, 2011.
  14. S. R. Desai and Rajendra Prasad,"Genetically Optimized Model Order Reduction for PID Controller ", International Conference on System Dynamics and Control –ICSDC 2010.
  15. http://www. mat. univie. ac. at/~neum/glopt. html
  16. Prasad R. , Pant A. K. and Pal. J. ,"Model Order Reduction using Modified Truncation", National System Conference, REC Kurukshetra, Dec. 22-24,1987.
  17. Hassan, R. , Cohanim, B. , de Weck, O. , "A Comparison of Particle Swarm Optimization and the Genetic Algorithm", 46th IAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics & Materials Conference, 18-21 April 2005,
  18. M. Clerc, "The swarm and the queen: towards a deterministic and adaptive particle swarm optimization", in Proc. 1999 ICEC, Washington, DC, 1999, pp. 1951-1957.
  19. J. Kennedy and R. Eberhart, "Particle swarm optimization", in Proc. IEEE International Conference Neural Networks, vol. 4, 1995, pp. 1942,1948.
  20. Kennedy, J. , Eberhart, R. , "Swarm Intelligence", Academic Press, ISBN 1-55860-595-9, 2001.
  21. Majid Bahrepour, Elham Mahdipour, Raman Cheloi, and Mahdi Yaghoobi," SUPER-SAPSO: A new sa-based pso algorithm", Applications of Soft Computing, AISC 58, pp. 423- 430,2009.
  22. Y. Shi and R. C. Eberhart, "A modified particle swarm optimizer", Proc. IEEE International Conference on Evolutionary Computation, Piscataway, NJ, IEEE Press, pp. 69–73, 1998.
  23. Jagdish C. Bansal, Kusum Deep, Kalyan Veeramachaneni, Lisa Osadciw,"Information Sharing Strategy among Particles in Particle Swarm Optimization Using Laplacian Operator", IEEE Swarm Intelligence Symposium, pp. 30-36, 2009.
  24. Prasad Rajendra,"Analysis and design of control Systems using reduced order models ", Ph. D Thesis, University of Roor kee, Roorkee,India, 1989.
  25. Shamash Y. ,"Viability of methods for generating stable reduced order models",IEEE. Trans. On Automatic Control, vol. AC-26, No. 6, pp. 1285-1286,1981.
  26. S. Mukherjee, and R. N. Mishra, "Order reduction of linear systems using an error minimization technique", Journal of Franklin Inst. , Vol. 323,No. 1, pp. 23-32, 1987.
Index Terms

Computer Science
Information Sciences

Keywords

Lower Order System Particle Swarm Optimization Modified Truncation Linear Time Invariant System