| 基于梯形隶属函数的模糊控制器的逼近精度分析 |
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| 引用本文： | 龙祖强,梁昔明,刘灿,许岳兵,杨利容.基于梯形隶属函数的模糊控制器的逼近精度分析[J].衡阳师专学报,2010(3):29-32. |
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| 作者姓名： | 龙祖强 梁昔明 刘灿 许岳兵 杨利容 |
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| 作者单位： | [1]衡阳师范学院物理与电子信息科学系,湖南衡阳421008 [2]中南大学信息科学与工程学院,湖南长沙410083 |
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| 基金项目： | 国家自然科学基金项同（60874070）;高等学校博士学科点专项科研基金项目（20070533131）;湖南省科技计划项目（2009GK3020）;衡阳师范学院科学基金项目（09A29,09A30） |
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| 摘 要： | 讨论了一类基于梯形隶属函数、单值模糊器、乘积型推理和中心平均解模糊的模糊控制器结构。利用泰勒公式．给出了一个在预定逼近精度的条件下如何划分模糊论域的公式，并且用仿真例子验证了该公式的正确性。仿真结果表明．该文所提出的计算公式是一个充分条件。
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| 关 键 词： | 模糊控制 函数逼近 万能逼近器 |
Analysis on the Approximation Accuracy of Fuzzy Controllers with Trapezoid Membership Functions |
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| LONG Zu-qiang,LIANG Xi-ming,LIU Can,XU Yue-bing,YANG Li-rong.Analysis on the Approximation Accuracy of Fuzzy Controllers with Trapezoid Membership Functions[J].Journal of Hengyang Normal University,2010(3):29-32. |
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| Authors: | LONG Zu-qiang LIANG Xi-ming LIU Can XU Yue-bing YANG Li-rong |
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| Institution: | 1. Department of Physics and Electronics Information Science, Hengyang Normal University, Hengyang Hunan 421008, China; 2. School of Information Science and Engineering, Central South University, Changsha Hunan 410083, China) |
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| Abstract: | A structure is discussed for a type of fuzzy controllers, which are based on trapezoid membership functions singleton fuzzifier, product inference and center average defuzzifier. And a formula is given to partition fuzzy universe of discourse on the condition of given approximation accuracy. Finally the correctness of this formula is verified by a simulation example and the result of which shows the formula is a sufficient condition. |
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| Keywords: | fuzzy controller function approximation universal approximator |
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