Abstract
This paper presents a comparison of fuzzy controller optimization results using dynamic parameter adjustment Type 1 (T1) and Interval Type 2 (T2) fuzzy logic to the Firefly Algorithm (FA). The FA is used for optimizations parameters of the membership functions in the fuzzy controllers. The dynamic adjustment is applied to the randomness parameter of the search space, which represents the exploration of the method, avoiding stagnation or premature convergence. The FA generates the values that the parameters of the membership functions take for optimization use in the fuzzy systems for control. The control plants have one or more input variables that are processed and result in one or more output variables, it would be very difficult to model the human reasoning in equations to achieve a machine acquires the knowledge acquired by humans. For that reason the fuzzy logic that generates that insertion is used as if it were human reasoning.
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References
Yang, X.S., He, X.: Firefly algorithm: recent advances and applications. Int. J. Swarm Intell. 1, 321–354 (1995)
Yang, X.S.: Nature-Inspired Metaheuristic Algorithms. Luniver Press, London (2010)
Amador-Angulo, L., Castillo, O.: Comparative analysis of designing differents types of membership functions using bee colony optimization in the stabilization of fuzzy controllers. In: Fuzzy Logic in Intelligent System Design, vol. 648, p. 131. Springer, Heidelberg (2017)
Lagunes, M.L., Castillo, O., Soria, J.: Methodology for the optimization of a fuzzy controller using a bio-inspired algorithm. In: Nature Inspired Design of Hybrid Intelligent Systems, vol. 667, pp. 551–571. Springer, Heidelberg (2017)
Bernal, E., Castillo, O., Soria, J.: Imperialist competitive algorithm with dynamic parameter adaptation applied to the optimization of mathematical functions. In: Nature Inspired Design of Hybrid Intelligent Systems, vol. 667, pp. 329–341. Springer, Heidelberg (2017)
RodrÃguez, L., Castillo, O., Soria, J.: IA study of parameters of the grey wolf optimizer algorithm for dynamic adaptation with fuzzy logic. In: Nature Inspired Design of Hybrid Intelligent Systems, vol. 667, pp. 371–390. Springer, Heidelberg (2017)
Peraza, C., Valdez, F., Castillo, O.: Improved method based on type-2 fuzzy logic for the adaptive harmony search algorithm. In: Fuzzy Logic Augmentation of Neural and Optimization Algorithms, vol. 749, pp. 29–37. Springer, Heidelberg (2018)
Lagunes, M.L., Castillo, O., Valdez, F., Soria, J., Melin, P.: Parameter optimization for membership functions of type-2 fuzzy controllers for autonomous mobile robots using the firefly algorithm. In: Fuzzy Information Processing, vol. 813, pp. 569–679. NAFIPS (2018)
Lagunes, M.L., Castillo, O., Soria, J.: Optimization of membership function parameters for fuzzy controllers of an autonomous mobile robot using the firefly algorithm. In: Fuzzy Logic Augmentation of Neural and Optimization Algorithms, vol. 749, pp. 199–206. Springer, Heidelberg (2018)
Zadeh, L.A.: Fuzzy sets. Inf. Control. 8(3), 338–353 (1965)
Zadeh, L.A.: Fuzzy logic. Computer (Long. Beach. Calif.) 21(3), 83–93 (1988)
Zadeh, L.A.: The concept of a linguistic variable and its application to approximate reasoning-III. Inf. Sci. (NY) 9(1), 43–80 (1975)
Karnik, N.N., Mendel, J.M., Liang, Q.: Type-2 fuzzy logic systems. IEEE Trans. Fuzzy Syst. 7(6), 643–658 (1999)
Liang, Q., Mendel, J.M.: Interval type-2 fuzzy logic systems: theory and design. IEEE Trans. Fuzzy Syst. 8(5), 535–550 (2000)
Castillo, O., Melin, P., Kacprzyk, J., Pedrycz, W.: Type-2 fuzzy logic: theory and applications. In: 2007 IEEE International Conference on Granular Computing (GRC 2007), p. 145 (2007)
Perez, J., Valdez, F., Castillo, O.: Modification of the bat algorithm using type-2 fuzzy logic for dynamical parameter adaptation. In: Nature Inspired Design of Hybrid Intelligent Systems, vol. 667, pp. 343–355. Springer, Heidelberg (2017)
Soto, C., Valdez, F., Castillo, O.: A review of dynamic parameter adaptation methods for the firefly algorithm. In: Nature Inspired Design of Hybrid Intelligent Systems, vol. 667, pp. 285–295. Springer, Heidelberg (2017)
Solano-Aragón, C., Castillo, O.: Optimization of benchmark mathematical functions using the firefly algorithm. In: Recent Advances on Hybrid Approaches for Designing Intelligent Systems, vol. 547, pp. 177–189. Springer, Heidelberg (2014)
Ochoa, P., Castillo, O., Soria, J.: Fuzzy differential evolution method with dynamic parameter adaptation using type-2 fuzzy logic. In: 8th International Conference on Intelligent Systems, pp. 113–118. IEEE (2016)
Water Level Control in a Tank - MATLAB: Simulink Example - MathWorks America Latina. https://la.mathworks.com/help/fuzzy/examples/water-level-control-in-a-tank.html. Accessed 04 July 2018
Leal RamÃrez, C., Castillo, O., Melin, P., RodrÃguez DÃaz, A.: Simulation of the bird age-structured population growth based on an interval type-2 fuzzy cellular structure. Inf. Sci. 181(3), 519–535 (2011)
Cázarez-Castro, N.R., Aguilar, L.T., Castillo, O.: Designing type-1 and type-2 fuzzy logic controllers via fuzzy Lyapunov synthesis for nonsmooth mechanical systems. Eng. Appl. of AI. 25(5), 971–979 (2012)
Castillo, O., Melin, P.: Intelligent systems with interval type-2 fuzzy logic. Int. J. Innov. Comput. Inf. Control 4(4), 771–783 (2008)
Mendez, M., Castillo, O.: Interval type-2 TSK fuzzy logic systems using hybrid learning algorithm, information and control. In: The 14th IEEE International Conference on Fuzzy Systems, FUZZ 2005, pp. 230–235 (2005)
Melin, P., Castillo, O.: Intelligent control of complex electrochemical systems with a neuro-fuzzy-genetic approach. IEEE Trans. Industr. Electron. 48(5), 951–955 (2001)
Melin, P., González, C.I., Castro, J.R., Mendoza, O., Castillo, O.: Edge-detection method for image processing based on generalized type-2 fuzzy logic. IEEE Trans. Fuzzy Syst. 22(6), 1515–1525 (2014)
González, C.I., Melin, P., Castro, J.R., Castillo, O., Mendoza, O.: Optimization of interval type-2 fuzzy systems for image edge detection. Appl. Soft Comput. 47, 613–643 (2016)
González, C.I., Melin, P., Castro, J.R., Mendoza, O., Castillo, O.: An improved sobel edge detection method based on generalized type-2 fuzzy logic. Soft Comput. 20(2), 773–784 (2016)
Ontiveros, E., Melin, P., Castillo, O.: High order \(\alpha \)-planes integration: a new approach to computational cost reduction of general type-2 fuzzy systems. Eng. Appl. AI 74, 186–197 (2018)
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Lagunes, M.L., Castillo, O., Valdez, F., Soria, J. (2019). Comparative Study of Fuzzy Controller Optimization with Dynamic Parameter Adjustment Based on Type 1 and Type 2 Fuzzy Logic. In: Kearfott, R., Batyrshin, I., Reformat, M., Ceberio, M., Kreinovich, V. (eds) Fuzzy Techniques: Theory and Applications. IFSA/NAFIPS 2019 2019. Advances in Intelligent Systems and Computing, vol 1000. Springer, Cham. https://doi.org/10.1007/978-3-030-21920-8_27
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