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Fuzzy controller based on chaos optimal design and its application

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Abstract

In order to overcome difficulty of tuning parameters of fuzzy controller, a chaos optimal design method based on annealing strategy is proposed. First, apply the chaotic variables to search for parameters of fuzzy controller, and transform the optimal variables into chaotic variables by carrier-wave method. Making use of the intrinsic stochastic property and ergodicity of chaos movement to escape from the local minimum and direct optimization searching within global range, an approximate global optimal solution is obtained. Then, the chaos local searching and optimization based on annealing strategy are cited, the parameters are optimized again within the limits of the approximate global optimal solution, the optimization is realized by means of combination of global and partial chaos searching, which can converge quickly to global optimal value. Finally, the third order system and discrete nonlinear system are simulated and compared with traditional method of fuzzy control. The results show that the new chaos optimal design method is superior to fuzzy control method, and that the control results are of high precision, with no overshoot and fast response.

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References

  1. Khaled B L, Faouzi T. Genetic algorithm for the design of a class of fuzzy controllers: an alternative approach [J]. IEEE Trans on Fuzzy Systems, 2000,8(4):324–342.

    Google Scholar 

  2. Lim M H, Rahardja S, Gwee B H. A GA parading for learning fuzzy rules [J]. Fuzzy and Systems, 1996,82(4):177–186.

    Article  MathSciNet  Google Scholar 

  3. Magne S, Hans R. GA fuzzy modeling and classification: complexity and performance [J]. IEEE Trans on Fuzzy Systems, 2000,8(5):509–522.

    Article  Google Scholar 

  4. ZOU En, LI Xiang-fei, CHEN Jian-guo. Chaotic Control and Optimization Applications [M]. Changsha: National University of Defense Technology Press, 2002:207–216. (in Chinese)

    Google Scholar 

  5. WANG Zi-cai, ZHANG Tong, WANG Hong-wei. Simulated annealing algorithm based on chaotic variable [J]. Control and Decision, 1999,14(4):381–384. (in Chinese)

    Google Scholar 

  6. PAN Yong-xiang, XU Qian-feng, GAO Hong-mei. The research of the fuzzy control algorithm optimization based on chaos[J]. Control Theory and Application, 2000, 17(5): 703–706. (in Chinese)

    MATH  Google Scholar 

  7. Choi C, Lee J. Chaotic local search algorithm[J]. Artificial Life and Robotics, 1998, 2(1):81–384.

    Article  Google Scholar 

  8. Zhou C, He T. Chaotic annealing for optimization[J]. Physical Review E, 1997, 53(3): 2580–2587.

    Article  Google Scholar 

  9. Zhou D, Yashda K, Yokoyama R. A method to combine chaos and neural network based on the fixed theory[J]. Transactions of the Institute of Electrical Engineers of Japan, 1997, 117(5): 599–608.

    Google Scholar 

  10. HU Bao-gang, George K I M, Raymond G G. New methodology for analytical and optimal design of fuzzy PID controller [J]. IEEE Trans on Fuzzy Systems, 1999,7(5):521–538.

    Article  Google Scholar 

  11. YOU J, WANG L. Simplifying fuzzy rule-based models using orthogonal transformation methods [J]. IEEE Trans on Systems, Man & Cybernetics, 1999, 29B:13–24.

    Google Scholar 

  12. WANG L X. Analysis and design of hierarchical fuzzy systems[J]. IEEE Trans On Fuzzy Systems, 1999, 7(6):617–624.

    Article  Google Scholar 

  13. CHAO C T, CHEN Y J, TENG C C. Simplification of fuzzy neural systems using similarity analysis [J]. IEEE Trans on Systems, Man & Cybernetics, 1996, 26B:344–354.

    Article  Google Scholar 

  14. QIAN Fu-cai, FEI Chu-hong, WAN Bai-wu. A hybrid algorithm for finding global minimum [J]. Information and Control, 1998,27(3):232–235. (in Chinese)

    MathSciNet  Google Scholar 

  15. LI Bing. Optimization complex function by chaos search [J]. Cybernetics and Systems, 1998,4(29):409–419.

    Google Scholar 

  16. Chen L, Aihara K. Chaotic simulated annealing by a neural network model with transient chaos[J]. Neural Networks, 1995, 8(6): 915–930.

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Electrical Engineering, Zhuzhou Institute of Technology, 412008, Zhuzhou, China

    Zou En (Professor) & Li Xiang-fei

  2. School of Information Science and Engineering, Central South University, 410083, Changsha, China

    Zou En (Professor), Li Xiang-fei & Zhang Tai-shan

Authors
  1. Zou En
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  2. Li Xiang-fei
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  3. Zhang Tai-shan
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Corresponding author

Correspondence to Zou En.

Additional information

Foundation item: Project (01JJY3029) supported by the Natural Science Foundation Hunan Province

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Zou, E., Li, Xf. & Zhang, Ts. Fuzzy controller based on chaos optimal design and its application. J Cent. South Univ. Technol. 11, 98–101 (2004). https://doi.org/10.1007/s11771-004-0020-7

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  • DOI: https://doi.org/10.1007/s11771-004-0020-7

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