MULTIOBJECTIVE GA-FUZZY LOGIC CONTROLLER - Applied to a pH Reactor

Orlando Reyes, Gustavo Sánchez, Miguel Strefezza

2009

Abstract

A Takagi-Sugeno (T-S) Fuzzy Logic Controller (FLC) is tuned using the algorithm NSGA-II. The proposed method eliminates laborious design steps such as tuning of membership functions and conclusion table parameters. An object approach representation is used to build an adequate FLC representation. Object is an individual abstraction in order to improve crossover a mutation operators. The Genetic Algorithm optimization is carry out over signal response performance parameters, in this work: settling time, rise time, overshoot and steady state error. Experiments show how the algorithm reached good response of some individuals in solution set, typically called Pareto frontier.

References

  1. Reyes, O., Sanchez, G., Strefezza, Miguel, 2008. Usign Genetic Algorithms to design a Fuzzy Logic Controller for a pH Reactor: an Object Approach. “IASTED International conference, Quebec City, Canada Control and Applications (CA 2008) May 26- 28”, Proceedings of the xxx conference IASTED. http://www.actapress.com/Abstract.aspx?paperId=336 09
  2. L. A. Zadeh. Fuzzy Sets. 1965. Information and Control Vol 8. 338-353.
  3. E. H. Mamdani and Assilian. 1975. An Experiment In Linguistic Synthesis with a Fuzzy Logic Controller. Int. Man Mach Stud Vol. 7. 1-13.
  4. Moore, R., Lopes, J., 1999. Paper templates. In TEMPLATE'06, 1st International Conference on Template Production. INSTICC Press.
  5. Smith, J., 1998. The book, The publishing company. London, 2nd edition.
  6. E. H. Mandani and S. Assilian. 1975. An Experiment In Linguistic Synthesis with a Fuzzy Logic Controller, Int. J. Man Mach. Stud. Vol. 7. 1-13.
  7. Holland, J. Adaptation in Natural and Artificial Systems. 1975. University of Michigan Press, Ann Arbor.
  8. David E. Golberg, Genetic Algorithms in Search Optimization & Machine Learning. 1953.Addison Wesley Longman Inc.
  9. Gang Feng. 2006. A Survey on Analysis and design of Model-Based Fuzzy Control Systems. IEEE Transactions on Fuzzy Systems,14(5).
  10. McAvoy, T. J.; Hsu, E.; Lowenthal, S. 1975. Dynamics of pH in a Controled Stirred Tank Reactor. Ind. Eng. Chem. Process Des. Dev. 11. 68 -70.
  11. Zhang, J. 2001.A Nonlinear Gain Scheduling Control Strategy Based on Neuro-Fuzzy Networks. Ind. Eng. Chem. Res. 40. 3164 -3170.
  12. Carlos A. Coello Coello. 2004. Recent Trends in Evolutionary Multiobjective Optimization. Evolutionary Multiobjective Optimization Theoretical Advances and Applications. Springer. ISBN 1-85233- 787-7.
  13. Deb, K.; Agrawal, S.; Pratab, A. & Meyarivan, T. 2000. A Fast Elitist Non-Dominated Sorting Genetic Algorithm for Multiobjective Optimization: NSGAII. Proceedings of Parallel Problem Solving From Nature VI Conference, pp 849-858.
  14. O.B. Augusto, S. Rabeau, Ph. De'pince, F. Bennis. 2006. Multi-objective genetic algorithms: a way to improve the convergence rate. Engineering Applications of Artificial Intelligence 19, 501-510
  15. H. Tamaki, H. Kita, and S. Kobayashi. 1996. Multiobjective optimization by Genetic Algorithms: A review. IEEE Proc. Int. Conf. Evolutionary Computation, 517-522
Download


Paper Citation


in Harvard Style

Reyes O., Sánchez G. and Strefezza M. (2009). MULTIOBJECTIVE GA-FUZZY LOGIC CONTROLLER - Applied to a pH Reactor . In Proceedings of the 6th International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO, ISBN 978-989-8111-99-9, pages 384-389. DOI: 10.5220/0002210103840389


in Bibtex Style

@conference{icinco09,
author={Orlando Reyes and Gustavo Sánchez and Miguel Strefezza},
title={MULTIOBJECTIVE GA-FUZZY LOGIC CONTROLLER - Applied to a pH Reactor},
booktitle={Proceedings of the 6th International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,},
year={2009},
pages={384-389},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002210103840389},
isbn={978-989-8111-99-9},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 6th International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,
TI - MULTIOBJECTIVE GA-FUZZY LOGIC CONTROLLER - Applied to a pH Reactor
SN - 978-989-8111-99-9
AU - Reyes O.
AU - Sánchez G.
AU - Strefezza M.
PY - 2009
SP - 384
EP - 389
DO - 10.5220/0002210103840389