Optimization of Membership Functions for the Fuzzy Controllers of the Water Tank and Inverted Pendulum with Differents PSO Variants

Resffa Fierro, Oscar Castillo, Fevrier Valdez, Patricia Melin

Abstract


 In this paper the particle swarm optimization metaheuristic and two of its variants (inertia weight and constriction coefficient) are used as an optimization strategy for the design of optimal membership functions of fuzzy control systems for the water tank and inverted pendulum benchmark problems. Each variant has its own advantages in the algorithm, allowing the exploration and exploitation in different ways and this allows finding the optimal solution in a better way.


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References


J. Kennedy, R. Eberhart, 1995, Particle Swarm Optimization, from Proc. IEEE int´l. Conf. On Neural Networks (Perth, Australia), IEEE Service Center, Piscataway, NJ, IV: 1942-1948.

L. Zadeh, (1965), “Fuzzy Logic”, IEEE Computer, pp. 83-92.

J. Kennedy, Y. Shi, 2001, Swarm Intelligence, Academic Press, Inc.

J. Kennedy, Shi Y., “Swarm Intelligence”. San Francisco: Morgan Kaufmann Publishers, 2001.

J. Kennedy, “The Particle Swarm: Social Adaptation of Knowledge”. IEEE International Conference on Evolutionary Computation, pp. 303-308, 1997.

P. Andries, “Fundamentals of Computational Swarm Intelligence”, Wiley, J England, pp. 85-129, 2005.

Y. Del Valle, V. Kumar G., S. Mohagheghi, J.C. Hernández, R. G. Harley: Particle Swarm Optimization: Basic Concepts, Variants and Applications in Power Systems. April 2008

R. Martinez, O. Castillo, and J. Soria: Particle Swarm Optimization Applied to the Design of Type-1 and Type-2 Fuzzy Controllers for an Autonomous Mobile Robot. Bio-inspired Hybrid Intelligent Systems for Image Analysis and Pattern Recognition 2009: pp. 247-262

S. J., Marmolejo, O. Castillo: Optimization of Membership Functions for Type-1 and Type-2 Fuzzy Controllers of an Autonomous Mobile Robot Using PSO. Ed. Springer 2013: pp. 97-104.

F. Olivas, O. Castillo: Particle Swarm Optimization with Dynamic Parameter Adaptation Using Fuzzy Logic for Benchmark Mathematical Functions. Ed. Springer 2013: pp. 247-258.

K. Zielinski, P. Weitkemper, R. Laur, K. Kammeyer, Optimization of Power Allocation for Interference Cancellation With Particle Swarm Optimization, IEEE transactions on evolutionary computation, vol. 13, no.1, February 2009.

E. Lizárraga, O. Castillo, J. Soria, A Method to Solve the Traveling Salesman Problem Using Ant Colony Optimization Variants with Ant Set Partitioning, Recent Advances on Hybrid Intelligent Systems, Ed.Springer 2013, pp.237-246

R. Fierro, O. Castillo, Design of Fuzzy Different PSO Variants, Recent Advances on Hybrid Intelligent Systems, Ed. Springer 2013, pp. 81-88.

M. C. Ibarra, O. Castillo, J. Soria, Designing Systematic Stable Fuzzy Logic Controllers by Fuzzy Lyapunov Synthesis, Recent Advances on Hybrid Intelligent System, Ed. Springer 2013, pp. 63-79

R. Aranda, Optimization of Membership Functions stable fuzzy controllers using genetic algorithms, Master thesis, Tijuana Institute of Technology 2012.

Eberhart, R.C. & Shi, Y. Parameter Selection in Particle Swarm Optimization. Evolutionary Programming VII Springer, Lecture Notes in Computer Science, 1998. 1447, p.591-600.

Kennedy, J. & Eberhart, R. C. Particle swarm optimization. en IEEE International Conference on Neural Networks. Piscataway, New York, USA, 1995.Vol. 4: p. 1942-1948.

Li, X., Tian, M. & Kong, P. Novel particle swarm optimization for constrained optimization problems, Lecture Notes in Computer Science, , 2005. Vol. 3809, p. 1305–1310.

Matias Javier Micheletto, Optimizador de Funciones Multivariadas por Enjsmbre de Particulas, Dpto. Ingeniería Eléctrica y Computadoras Universidad Nacional del Sur, Junio 18 2013, http://www.41jaiio.org.ar/sites/default/files/39_EST_2012.pdf

Yenny Noa Vargas., Estrategias para mejorar el Balance entreExploración y Explotación en Optimización de Enjambre de Partículas, Universidad de La Habana, Diciembre 2011, Disponible en: http://www.yorku.ca/sychen/research/theses/2011_Yenny_MSc.pdf




DOI: http://doi.org/10.12928/telkomnika.v11i4.1182

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