Abstract
In this paper we apply to Bio-inspired and evolutionary optimization methods to design fuzzy logic controllers (FLC) to minimize the steady state error of linear systems. We test the optimal FLC obtained by the genetic algorithms and the PSO applied on linear systems using benchmark plants. The bio-inspired and the evolutionary methods are used to find the parameters of the membership functions of the FLC to obtain the optimal controller. Simulation results are obtained with Simulink showing the feasibility of the proposed approach.
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References
Engelbretht, A.P.: Fundamentals of Computational Swarm Intelligence, pp. 5–129. John Wiley & Sons Ltd., England (2005)
Melin, P., Castillo, O.: A New Method for Adaptive Control of Non-Linear Plants Using Type-2 Fuzzy Logic and Neural Networks. International Journal of General Systems 1563-5104 33(2), 289–304 (2004)
Sepúlveda, R., Montiel, O., Castillo, O., Melin, P.: Optimizing the MFs in Type-2 Fuzzy Logic Controllers. Using the Human Evolutionary Model International Review of Automatic Control (IREACO) Theory and Applications 3(1), 1–10 (2010)
Eberhart, R.C., Kennedy, J.: A new optimizer using particle swarm theory. In: Proceedings of the Sixth International Symposium on Micromachine and Human Science, Nagoya, Japan, pp. 39–43 (1995); Lu, J.-G.: Title of paper with only the first word capitalized. J. Name Stand. Abbrev (in press)
Fogel, D.B.: An introduction to simulated evolutionary optimization. IEEE Transactions on Neural Networks 5(1), 3–14 (1994)
Angeline, P.J.: Using Selection to Improve Particle Swarm Optimization. In: Proceedings 1998 IEEE World Congress on Computational Intelligence, Anchorage, Alaska, IEEE, Los Alamitos (1998)
Kennedy, J., Mendes, R.: The particle swarm-explosion, stability, and convergence in a multidimensional complex space. IEEE Transactions on Evolutionary Computation 6(1), 58–73 (2002)
Kennedy, J., Mendes, R.: Population structure and particle swarm performance. In: Proceeding of IEEE Conference on Evolutionary Computation, pp. 1671–1676 (2002)
Angeline, P.J.: Evolutionary Optimization versus Particle Swarm Optimization: Philosophy and Performance Differences. In: Porto, V.W., Waagen, D. (eds.) EP 1998. LNCS, vol. 1447, pp. 601–610. Springer, Heidelberg (1998)
Alcalá, R., Alcalá-Fdez, J., Herrera, F.: A proposal for the Genetic Lateral Tuning of Linguistic Fuzzy Systems and its Interaction with Rule Selection. IEEE Transactions on Fuzzy Systems 15(4), 616–635 (2007)
Alcalá, R., Gacto, M.J., Herrera, F., Alcalá-Fdez, J.: A Multi-objective Genetic Algorithm for Tuning and Rule Selection to Obtain Accurate and Compact Linguistic Fuzzy Rule-Based Systems. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 15(5), 539–557 (2007)
Casillas, J., Cordon, O., del Jesús, M.J., Herrera, F.: Genetic Tuning of Fuzzy Rule Deep Structures Preserving Interpretability and its Interaction with Fuzzy Rule Set Reduction. IEEE Transaction on Fuzzy Systems 13(1), 13–29 (2005)
Cordon, O., Gomide, F., Herrera, F., Hoffmann, F., Magdalena, L.: Ten Years of Genetic Fuzzy Systems: Current Framework and New trends. Fuzzy Sets and Systems 141(1), 5–31 (2004)
Chi, Z., Yan, H., Pham, T.: Fuzzy Algorithms: With Applications to Image Processing and Pattern recognition. World Scientific, Singapore (1996)
Driankov, D., Hellendoorn, H., Reinfrank, M.: An Introduction to Fuzzy Control. Springer, Berlin (1993)
Fukao, T., Nakagawa, H., Adachi, N.: Adaptive Tracking Control of a NonHolonomic Mobile Robot. IEEE Trans. On Robotics and Automation 16(5), 609–615 (2000)
Liang, Q., Mendel, J.M.: Interval Type-2 Fuzzy Logic Systems: Theory and Design. IEEE Trans. on Fuzzy Systems 8(5), 535–550 (2000)
Lee, T.H., Leung, F.H.F., Tam, P.K.S.: Position Control for Wheeled Mobile Robot Using a Fuzzy Controller, pp. 525–528. IEEE, Los Alamitos (1999)
Pedrycz, W. (ed.): Fuzzy Modelling: Paradigms and Practice. Kluwer Academic Press, Dordrecht (1996)
Martinez, R., Castillo, O., Aguilar, L.T., Rodriguez, A.: Evolutionary Optimization of type-2 Fuzzy Systems Applied to Linear Plants. To appear in System, Man, and Cybernetic Conference (2009)
Martinez, R., Castillo, O., Aguilar, L.T.: Intelligent Control For A Perturbed Autonomous Wheeled Mobile Robot Using Type-2 Fuzzy Logic and Genetic Algorithms. Journal of Automation, Mobile Robotics & Intelligent Systems 2 (2008); Wilkinson, J.P.: Nonlinear resonant circuit devices (Patent style), U.S. Patent 3 624 12 (July 16, 1990)
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Martinez-Soto, R., Castillo, O., Aguilar, L.T., Melin, P. (2010). Fuzzy Logic Controllers Optimization Using Genetic Algorithms and Particle Swarm Optimization. In: Sidorov, G., Hernández Aguirre, A., Reyes García, C.A. (eds) Advances in Soft Computing. MICAI 2010. Lecture Notes in Computer Science(), vol 6438. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16773-7_41
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DOI: https://doi.org/10.1007/978-3-642-16773-7_41
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