引用本文:张持健,李旸 ,陈万里,张铃.商空间下模糊系统性能一致性(鲁棒性)分析[J].控制理论与应用,2006,23(5):833~837.[点击复制]
ZHANG Chi-jian, LI Yang, CHENWan-li, ZHANG Ling .Analysis of robustness of FCS structure based on quotient space theory[J].Control Theory and Technology,2006,23(5):833~837.[点击复制]
商空间下模糊系统性能一致性(鲁棒性)分析
Analysis of robustness of FCS structure based on quotient space theory
摘要点击 1548  全文点击 1304  投稿时间：2004-11-26  修订日期：2005-11-23
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DOI编号  
  2006,23(5):833-837
中文关键词  模糊控制  隶属度函数  模糊粒度分析  鲁棒性
英文关键词  fuzzy control system(FCS)  membership functions(MFs)  fuzzy granule computing  robustness
基金项目  国家自然科学基金资助项目(60475017); 国家重点基础研究(973)基金资助项目(2004CB318108); 省教委自然科学基金和安师大博士启动基金资助项目．
作者单位
张持健,李旸 ,陈万里,张铃 安徽师范大学物理电子信息学院,安徽芜湖241000
安徽大学智能计算与信号处理教育部重点实验室,安徽合肥230039 
中文摘要
      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．
英文摘要
      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.