Fuzzy Logic Controller Foundations: A Review
Keywords:
Center of gravity method, Fuzzy logic controller, Fuzzy logic controller construction, Fuzzy logic terms, Mathematical operations in the fuzzy logic domain, Membership functionsAbstract
The use of language variables rather than numerical variables is a key characteristic of fuzzy logic controllers, which are among the most successful implementations of fuzzy set theory. Fuzzy logic is a simple technique for deriving a definitive result from unclear, noisy, or missing input data. In situations when precise mathematical formulations are tiresome, fuzzy logic controllers are a suitable option. The properties of the fuzzy logic controller are greatly affected by any alteration to the shapes and overlaps of fuzzy sets. Consequently, the design process and final performance are greatly influenced by the expertise and experience of the designer. An overview of fuzzy control is given in this work, along with a description of its general methodology, some of its main techniques, and the mathematical ideas used in linguistic rules.
References
H. R. Berenji, “Fuzzy logic controllers,” in An Introduction to Fuzzy Logic Applications in Intelligent Systems, J. Yen and R. Langari, Eds. Boston, MA, USA: Springer, Jan. 1992, pp. 69–96.
Ahmet Beşkardeş, Yakup Hameş, and K. Kaya, “A comprehensive review on fuzzy logic control systems for all, hybrid, and fuel cell electric vehicles,” Soft Computing, Jul. 2024, doi: https://doi.org/10.1007/s00500-023-09454-5
B. D’Ambrosio, “Fuzzy logic control,” in Qualitative Process Theory Using Linguistic Variables, Berlin, Germany: Springer, 1989, pp. 5–15.
Y. Bai and D. Wang, “Fundamentals of fuzzy logic control—Fuzzy sets, fuzzy rules and defuzzifications,” Advances in Industrial Control, pp. 17–36, doi: https://doi.org/10.1007/978-1-84628-469-4_2
A. I. Ryntathiang, Dawadbniah Ramde, Deiwamangmi Suchiang, and Bhaswati Medhi, “An analysis on performance of fuzzy logic controller in automatic voltage controller along with the classical controllers,” Lecture Notes in Networks and Systems, pp. 1–8, Jan. 2024, doi: https://doi.org/10.1007/978-981-99-9531-8_1
Pankaj Mohindru, “Review on PID, fuzzy and hybrid fuzzy PID controllers for controlling non-linear dynamic behaviour of chemical plants,” Artificial Intelligence Review, vol. 57, no. 4, Mar. 2024, doi: https://doi.org/10.1007/s10462-024-10743-0
H. Hagras, “Type-2 fuzzy logic controllers: A way forward for fuzzy systems in real world environments,” Lecture Notes in Computer Science, pp. 181–200, doi: https://doi.org/10.1007/978-3-540-68860-0_9
Reza Katebi, M. A. Johnson, and J. Wilkie, “Fuzzy logic control design and analysis,” Advances in Industrial Control, pp. 227–273, Jan. 1999, doi: https://doi.org/10.1007/978-1-4471-0423-0_10
C. C. Lee, “Fuzzy logic in control systems: Fuzzy logic controller. I,” IEEE Transactions on Systems, Man, and Cybernetics, vol. 20, no. 2, pp. 404–418, 1990, doi: https://doi.org/10.1109/21.52551
A. Alazzam and I. Ahmed, “A speed control system using fuzzy logic,” 2018 Fifth HCT Information Technology Trends (ITT), pp. 12–17, Nov. 2018, doi: https://doi.org/10.1109/ctit.2018.8649539
J. Luo and E. Lan, “Fuzzy logic controllers for aircraft flight control,” in Springer eBooks, Berlin, Germany: Springer, Jul. 2007, pp. 85–124.
C.-C. Tsai, S.-M. Hsieh, and C.-T. Chen, “Fuzzy longitudinal controller design and experimentation for adaptive cruise control and stop&go,” Journal of Intelligent & Robotic Systems, vol. 59, no. 2, pp. 167–189, Aug. 2010, doi: https://doi.org/10.1007/s10846-010-9393-z
L. Nchena, “Fuzzy logic application in automation control,” 2020 10th International Conference on Advanced Computer Information Technologies (ACIT), pp. 282–287, Sep. 2020, doi: https://doi.org/10.1109/acit49673.2020.9208862
H.-J. Zimmermann, “Fuzzy control,” in Fuzzy Set Theory—and Its Applications, 3rd ed., Boston, MA, USA: Springer, 1996, pp. 203–240.
K. Vinodhini, A. Sobiya, M. Gengaraj, M. Nanthini, M. Subashini, and L. Kalaivani, “Fuzzy logic controller based power factor correction converter for industrial applications,” 2022 Second International Conference on Artificial Intelligence and Smart Energy (ICAIS), Feb. 2022, doi: https://doi.org/10.1109/icais53314.2022.9742911
