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Transformation and optimization of fuzzy controllers using signal processing techniques

机译:信号处理技术的模糊控制器改造与优化

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This paper propses an eclectic approach for the efficient computation of fuzzy rules based on fuzzy logic and signal processing techniques. The rules {R_r} of the MISO zero-order Takagi-Sugno fuzzy system considered, are given in the form of R_r: If X_1 is A_(r1) and ... and X_N is A_(rN) then z is c_r, where Xj are fuzzified input variables, A_(rj) are standard fuzzy sets which belong to the corresponding partition of unity {A_(ri)} and C_r is a nonfuzzy singleton term of output variable z. A relevant feature of this approach is a quantitative, signal processing based, transformation of uncertainty (imprecision) of each input Xj into an additional uncertaintly (vagueness) on the corresponding fuzzy partition {A_(rj)}. This transformation greatly simplifies the involved matching computation. Moreover, this fuzzification transformation gives a new set of linguistic terms {A_(rj)'} which is also a partition the unity.
机译:本文基于模糊逻辑和信号处理技术,提出了一种折衷的方法,用于基于模糊逻辑和信号处理技术的模糊规则。 MISO零阶Takagi-Sugno模糊系统的规则{R_R}以R_R的形式给出:如果x_1是a_(r1),并且x_n是a_(rn),则z是c_r,在哪里XJ是模糊的输入变量,A_(RJ)是属于Unity的相应分区的标准模糊集{A_(RI)},并且C_R是输出变量Z的不可换单术语项。该方法的相关特征是基于定量的信号处理,将每个输入XJ的不确定性(不精确)的转换转换为相应的模糊分区上的额外的不确定(模糊){A_(RJ)}。该转换大大简化了所涉及的匹配计算。此外,这种模糊变换给出了一组新的语言术语{a_(rj)'},它也是单位的分区。

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