【摘要】 通过模糊商空间(粒度计算)理论和模糊集的结构性定义,讨论了模糊控制系统模糊隶属度函数的变化对系统结构的影响,给出了模糊系统同构的充要条件．由模糊等价关系出发,证明了模糊控制器的鲁棒性问题,从而对于这个人们多年来一直争论的问题,在一定意义上给予了解决．通过MATLAB对实际控制系统的仿真,证实以上观点正确．更多还原

【Abstract】 By means of fuzzy quotient space theory(granular computing theory)and the structural definition of fuzzy set, we studied the variation of the membership functions (MFs) of the fuzzy control system, and its effect on the system structure. The sufficient and necessary condition of the isomorphism of fuzzy system is obtained. The robustness of FCS is also proved by using the fuzzy equivalence relationship. In some sense, we solved the problem of robustness that has confused people for a long time. Finally, simulation for an actual control system is performed to demonstrate the conclusions.更多还原