Variable Universe Fuzzy Control Based on Multilayer Ant Colony Algorithm
ZHAO Yun-Tao1, WANG Jing1, XIE Xin-Liang1, HOU Qiang2
1.National Engineer Research Center of Advanced Rolling, University of Science and Technology Beijing, Beijing 100083 2.Technology Center, Taiyuan Iron and Steel Corporation, Taiyuan 030003
Abstract：Aiming at the low accuracy and poor adaptation of the fuzzy control algorithm, an adaptive fuzzy controller with variable universe is proposed. Firstly, based on the theory of ant colony optimization (ACO), a multilayer ant colony algorithm for continuous domains is designed. Through decomposing solution space into finite grids, the proposed algorithm is realized by three-stage search strategy with the progress of iterations, and heterogeneous mechanism is utilized at each stage. Secondly, the intelligent algorithm is used to optimize the contraction and expansion factors. Thus, the universe of fuzzy controller is adjusted on line according to performance indicator. Meanwhile, the adaptive fuzzy controller with variable universe is adopted to hydraulic servo system of medium plate. Finally, the simulation results show that the convergence speed of the system with adaptive fuzzy controller is higher than that of others. And the proposed control strategy has fine property in effectiveness and robustness.
[1] Li Hongxing. The Essence of Fuzzy Control and a Kind of Fine Fuzzy Controller. Control Theory and Applications, 1997, 14(6): 868-872 (in Chinese) (李洪兴.Fuzzy控制的本质与一类高精度Fuzzy控制器的设计.控制理论与应用, 1997, 14(6): 868-872) [2] Takagi H, Hayashi I. NN-Driven Fuzzy Reasoning. International Journal of Approximate Reasoning, 1991, 5(3): 191-212 [3] Wang Yongfu, Chai Tianyou, Chi Ying, et al. Observer-Based Adaptive Fuzzy Control for a Class of Nonlinear Systems. Control Theory and Applications, 2005, 22(3): 395 - 400 (in Chinese) (王永富,柴天佑,迟 瑛,等.基于观测器的一类非线性系统的自适应模糊控制.控制理论与应用, 2005, 22(3): 395-400) [4] Li Hongxin. Adaptive Fuzzy Controller Based on Variable Universe.Science in China: Series E, 1999, 29 (1): 32-42 (in Chinese) (李洪兴.变论域自适应模糊控制器.中国科学:E辑, 1999, 29(1): 32-42) [5] Li Hongxin. Design on a Class of High-Accuracy Fuzzy Controller. Control Theory and Applications, 1997, 14(6): 868-876 (in Chinese) (李洪兴.一类高精度模糊控制器的设计.控制理论与应用, 1997, 14(6): 868-876) [6] Li Shujiang, Hu Shaohua, Wu Hai. Anti-Swing Control of Crane Based on LQR and Variable Universe Fuzzy Control. Control and Decision, 2006, 21(3): 289- 292 (in Chinese) (李树江,胡韶华,吴 海.基于LQR和变论域模糊控制的吊车防摆控制.控制与决策, 2006, 21(3): 289-292) [7] Yu Peng, Zhao Guocai. Injection Pressure Control System of Die Casting Machine Based on Variable Universe Adaptive Fuzzy. Journal of Shenyang Institute of Aeronautical Engineering, 2006, 23(3): 54-56 (in Chinese) (于 鹏,赵国材.变论域模糊控制在压铸机压力控制系统中的应用研究.沈阳航空工业学院学报, 2006, 23(3): 54-56) [8] Dorigo M, Gambardella L M. Ant Colony System: A Cooperative Learning Approach to the Traveling Salesman Problem. IEEE Trans on Evolutionary Computation, 1997, 1(1): 53-66 [9] Gambardella L M, Taillard D, Dorigo M. Ant Colonies for the Quadratic Assignment Problem. Journal of the Operational Research Society, 1999, 50(2): 167-176 [10] Gao Shang, Zhong Juan, Mo Shujun. Research on Ant Colony Algorithm for Continuous Optimization Problem. Microcomputer Development, 2003, 13(1): 21-22, 69 (in Chinese) (高 尚,钟 娟,莫述军.连续优化问题的蚁群算法研究.微机发展, 2003, 13(1): 21-22,69) [11] Tan Guanzheng, Li Wenbin. Design of Ant Algorithm-Based Optimal PID Controller and Its Application to Intelligent Artificial Leg. Journal of Central South University of Technology: Natural Science, 2004, 35(1): 91-96 (in Chinese) (谭冠政,李文斌.基于蚁群算法的智能人工腿最优PID控制器设计.中南大学学报:自然科学版, 2004, 35(1): 91- 96) [12] Stützle T, Hoos H H. MAX-MIN Ant System. Future Generation Computer Systems, 2000, 16(8): 889-914 [13] Liu Jinkun. Advanced PID Control and Matlab Simulation. Beijing, China: Electronics Industry Press, 2005 (in Chinese) (刘金琨.先进PID控制Matlab仿真.北京:电子工业出版社, 2005) [14] Gao Xuejin, Wang Pu, Sun Chongzheng, et al. An Adaptive Genetic Algorithm Based on Real Coded and Its Application. Journal of Beijing University of Technology, 2007, 33(2): 144-148 (in Chinese) (高学金,王 普,孙崇正,等.基于实数编码的自适应遗传算法及应用.北京工业大学学报, 2007, 33(2): 144-148)
2009, Vol. 22 
