常见模糊蕴涵算子的模糊系统及其响应函数  

Fuzzy systems and their response functions based on commonly used fuzzy implication operators

作　　者：李洪兴[1] 彭家寅[2] 王加银[1] 

机构地区：[1]北京师范大学数学系,北京100875 [2]内江师范学院数学系,四川内江641112

出　　处：《控制理论与应用》2005年第3期341-347,共7页Control Theory & Applications

基　　金：国家自然科学基金资助项目(60474023);教育部博士点基金资助项目(20020027013);教育部科学技术重点项目(03184);数学天元基金资助项目(A0324639);973国家重大基础研究计划基金资助项目(2002CB312200).

摘　　要：详细讨论了较常见的21种模糊蕴涵算子构成的模糊控制器及其响应函数.主要结果是,异常蕴涵算子模糊控制算法都可归结为某种插值方法,它们相应的模糊控制器均具有函数逼近的泛性且彼此等效;而正常蕴涵算子(包括正规蕴涵算子的导出算子)模糊控制算法均非插值方法,其模糊控制器都不具有函数逼近的泛性,除Zadeh蕴涵算子外,这些正常蕴涵算子的模糊控制器均只具备阶跃输出功能且在一定意义下相互等效.<Abstrcat> Fuzzy controllers and their response functions are studied which are based on 21 commonly used fuzzy implication operators.Fuzzy controllers based on irregular implication operators in the 21 ones are regarded as some interpolation functions so that these controllers are universal approximators and are equivalent to each other.Except for Zadeh operator,fuzzy controllers based on regular implication operators in the 21 ones are not universal approximators,they are controllers with only step output ability.

关 键 词：模糊逻辑 模糊推理 模糊控制 响应函数 泛逼近性 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]