Paper:

# Optimization of Fuzzy Logic Controller for Trajectory Tracking Using Genetic Algorithm

## Pintu Chandra Shill^{*}, M. A. H. Akhand^{**},

Md. Faijul Amin^{*}, and Kazuyuki Murase^{*}

^{*}Department of System Design Engineering, Graduate School of Engineering, University of Fukui, 3-9-1 Bunkyo, Fukui 910-8507, Japan

^{**}Department of Computer Science and Engineering (CSE), Khulna University of Engineering & Technology (KUET), Khulna 9203, Bangladesh

*J. Adv. Comput. Intell. Intell. Inform.*, Vol.15 No.6, pp. 639-651, 2011.

- [1] A. Bagis, “Fuzzy and PD controller based intelligent control of spillway gates of dams,” Intelligent Fuzzy Systems, Vol.14, No.1, pp. 25-36, 2003.
- [2] L. X.Wang, “Adaptive fuzzy systems and control design and stability analysis,” Prentice Hall, 1994.
- [3] K. Belarbi, F. Titel, W. Bourebia, and K. Benmahammed, “Design of Mamdani fuzzy logic controllers with rule base minimisation using genetic algorithm,” J. of Engineering Applications of Artificial Intelligence, Vol.18, pp. 875-880, 2005.
- [4] A. Arslan and M. Kaya, “Determination of fuzzy logic membership functions using genetic algorithms,” Fuzzy Sets and Systems, Vol.118, pp. 297-306, 2001.
- [5] D. L. Meredith, C. L. Karr, and K. Krishna Kumar, “The use of genetic algorithms in the design of fuzzy logic controllers,” Proc. of Third Workshop on Neural Networks: Academic/Industrial/Defence (WNN’92), pp. 1105-1109, 1992.
- [6] A. Bagis, “Fuzzy rule base design using tabu search algorithm for nonlinear system modeling,” ISA Trans., Vol.47, pp. 32-44, 2008.
- [7] Y. Li and Y. Li, “Neural-fuzzy control of truck backer-upper system using a clustering method,” Neuro Computing, Vol.70, pp. 680-688, 2007.
- [8] C. C. Yang and N. K. Bose, “Generating fuzzy membership function with self-organizing feature map,” Pattern Recognition Letters, Vol.27, pp. 356-365, 2006.
- [9] A. F. M. Huang, S. J . H. Yang, M. Wang, and J. J. P. Tsai, “Improving fuzzy knowledge integration with particle swarm optimization,” Expert Systems with Applications, Vol.37, pp. 8770-8783, 2010.
- [10] S. E. Papadakis and J. B. Theocharis, “A GA-based fuzzy modeling approach for generating TSK models,” Fuzzy Sets and Systems, Vol.131, No.2, pp. 121-152, 2002.
- [11] M. Russo, “Genetic Fuzzy Learning,” IEEE Trans. on Evolutionary Computation, Vol.4, No.3, pp. 259-273, 2000.
- [12] F. Herrera and M. Lozano, “Adaptive genetic operators based on coevolution with fuzzy behaviors,” IEEE Trans. on Evolutionary Computation, Vol.5, No.2, pp. 149-165, 2001.
- [13] Y. Shi, R. Eberhart, and Y. Chen, “Implementation of evolutionary fuzzy systems,” IEEE Trans. on Fuzzy Systems, Vol.7, pp. 109-119, 1999.
- [14] N. B. Hui and D. K. Pratihar, “Automatic design of fuzzy logic controller using a genetic algorithm for collision-free, time-optimal navigation of a car-like robot,” Int. J. of Hybrid Intelligent Systems, Vol.2, No.3, pp. 161-187, 2005.
- [15] F. Herrera, M. Lozano, and J. L. Verdegay, “A learning process for fuzzy control rules using genetic algorithms,” Fuzzy Sets and Systems, Vol.100, pp. 143-158, 1998.
- [16] C. L. Karr, “Design of an adaptive fuzzy logic controller using a genetic algorithm,” Proc. of 4th Int. Conf. on Genetic Algorithms, pp. 450-457, 1991.
- [17] S. Bai and S. Chen, “Automatically constructing grade membership functions of fuzzy rules for students’ evaluation,” Expert Systems with Applications, Vol.35, pp. 1408-1414, 2008.
- [18] L. A. Zadeh, “Fuzzy Sets,” Information and Control, Vol.8, pp. 338-353, 1965.
- [19] D. G. Burkhardt and P. P. Bonissone, “Automated fuzzy knowledge base Generation and tuning,” Proc. of IEEE Int. Conf. on Fuzzy Systems, pp. 179-188, 1992.
- [20] B. Kosko, “Neural Networks and Fuzzy Systems: A Dynamical Systems Approach to Machine Intelligence,” Prentice Hall, 1992.
- [21] T. Koga, K. Horio, and T. Yamakawa, “Self-organizing Relationship (SOR) Network with fuzzy Inference Based Evaluation and Its application to Trailer-Truck Back-up control,” Proc. of 11th Int. Conf. on Neural Information Processing (ICONIP), pp. 368-374, 2004.
- [22] M. Mohammadian and R. J. Stonier, “Generating fuzzy rules by genetic algorithms,” Proc. of 3rd Int. workshop on Robot and Human Communication, Nagoya, Japan, pp. 362-367, 1994.
- [23] K. Belarbi, F. Titel, W. Bourebia, and K. Benmahammed, “Design of Mamdani fuzzy logic controllers with rule base minimisation using genetic algorithm,” Engineering Applications of Artificial Intelligence, Vol.18, No.7, pp. 875-880, 2005.
- [24] H. J. Zimmermann, “Fuzzy Set Theory and its Application,” 2nd edition, Allied Publishers Ltd. New Delhi, Association with kluwer Academic Publishers, Boston, 1996.
- [25] A. Rajapakse, K. Furuta, and S. Kondo, “Evolutionary learning of fuzzy logic controllers and their adaptation through perpetual evolution,” IEEE Trans. on Fuzzy Systems, Vol.10, No.3, pp. 309-321, 2002.

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