Closed-loop optimal fuzzy reasoning and its application
-
摘要: 最优模糊推理的基本思想在于模糊推理引入优化机制.首先针对现有的一种最优模糊推理方法,证明其满足模糊推理的2个基本性质,即推理一致性和所构成模糊系统的通用逼近性;其次提出闭环最优模糊推理的基本思想,即模糊推理引入反馈和优化机制,并在此基础上提出一种闭环最优模糊推理方法;然后针对这种新方法,同理证明其满足上述2个基本性质;最后通过飞机高度控制系统的仿真平台,体现出由闭环最优模糊推理方法所构成的模糊PID控制器的控制效果和强鲁棒性.Abstract: The basic idea of optimal fuzzy reasoning is introducing optimization mechanism into fuzzy reasoning, while traditional fuzzy reasoning is an open-loop and optimization process. Firstly two main characteristics of fuzzy reasoning methods, reasoning consistency and approximation, were discussed for an existing optimal fuzzy reasoning method. Secondly the basic idea of closed-loop optimal fuzzy reasoning was provided, that is, introducing feedback and optimization mechanism into fuzzy reasoning, and a new method based on the idea was given. Thirdly the above characteristics for the new method was discussed. Proofs display that the two fuzzy reasoning methods both satisfy reasoning consistency and approximation. Based on the platform of a flight control system, simulation results display that the fuzzy-PID controller based on the closed-loop optimal fuzzy reasoning method has better control performance and more robustness. And the idea of closed-loop optimal fuzzy reasoning builds a full framework for treating fuzzy reasoning as a control problem.
-
Key words:
- fuzzy sets /
- fuzzy control /
- optimization
-
[1] Zadeh L A. The concept of a linguistic variable and its applications to approximate reasoning, I, II, III[J]. Information Sciences, 1975, 8(3):199-249; 1975, 8(4):301-357; 1975, 9(1):43-80 [2] Wang Guojun. On the logic foundation of fuzzy reasoning[J]. Information Sciences, 1999, 117(1/2):47-88 [3] Turksen I B, Zhong Z. An approximate analogical reasoning approach based on similarity measures[J]. IEEE Transactions on Systems, Man and Cybernetics, 1988, 18(6):1049-1056 [4] Zhang Lei, Cai Kaiyuan. Optimal fuzzy reasoning and its robustness analysis[J]. International Journal of Intelligent Systems, 2004, 19(11):1033-1049 [5] Li Hanxiong, Zhang Lei, Cai Kaiyuan, et al. An improved robust fuzzy-PID controller with optimal fuzzy reasoning[J]. IEEE Transactions on Systems, Man and Cybernetics, 2005, 35B(6):1283-1294 [6] 孙增圻, 张再兴, 邓志东. 智能控制理论与技术[M]. 北京:清华大学出版社, 1997:28-29 Sun Zengqi, Zhang Zaixing, Deng Zhidong. Intelligent control theory and technology[M]. Beijing:Tsinghua University Press, 1997:28-29(in Chinese) [7] 汪培庄, 李洪兴. Fuzzy计算机的设计思想(Ⅳ)——fuzzy插值器的数学形式及其算法[J]. 北京师范大学学报(自然科学版), 1995, 31(4):434-439 Wang Peizhuang, Li Hongxing. A thought to fuzzy computer(Ⅳ)[J]. Journal of Beijing Normal University (Natural Science), 1995, 31(4):434-439 (in Chinese) -
点击查看大图
计量
- 文章访问数: 2914
- HTML全文浏览量: 220
- PDF下载量: 747
- 被引次数: 0
下载:
