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.
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
Wang Guojun. On the logic foundation of fuzzy reasoning[J].Information Sciences.1999, 117(1/2):47-88
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
Zhang Lei, Cai Kaiyuan. Optimal fuzzy reasoning and its robustness analysis[J].International Journal of Intelligent Systems.2004, 19(11):1033-1049
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
������, ������, ��־��. ���ܿ��������뼼��[M]. ����:�廪��ѧ������, 1997:28-29 Sun Zengqi, Zhang Zaixing, Deng Zhidong. Intelligent control theory and technology[M]. Beijing:Tsinghua University Press, 1997:28-29(in Chinese)
����ׯ, �����. Fuzzy����������˼��(��)——fuzzy��ֵ������ѧ��ʽ�����㷨[J]. ����ʦ����ѧѧ��(��Ȼ��ѧ��), 1995, 31(4):434-439 Wang Peizhuang, Li Hongxing. A thought to fuzzy computer(��)[J]. Journal of Beijing Normal University (Natural Science), 1995, 31(4):434-439 (in Chinese)