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Mathematical modeling of the Mamdani simplest fuzzy PI or PD TITO controller via Larsen Product inference method

机译:MAMDANI最简单的模糊PI或PD分型控制器的数学建模通过Larsen产品推理方法

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This paper presents the mathematical model of Mamdani simplest fuzzy PI or PD Two-Input Two- Output (TITO) controller via Larsen Product (LP) inference method. There are two fuzzy sets on each of the four input variables and five fuzzy sets on each of the two output variables. L - type and Γ - type membership functions are chosen on each input variable, and trapezoidal and triangular membership functions are chosen on each output variable. The other components chosen are algebraic product t - norm, bounded sum s - norm, linear fuzzy control rules and Center of Sums (CoS) defuzzification. Mathematical model of the simplest fuzzy PI or PD TITO controller via Larsen product inference was not reported in the literature and hence a model is presented for the first time in this paper.
机译:本文介绍了Mamdani最简单的模糊PI或PD二输入二输出(TITO)控制器的数学模型,通过Larsen产品(LP)推理方法。四个输入变量中的每一个都有两个模糊集,每个输出变量中的每一个都有五个模糊集。 L型和γ型隶属函数在每个输入变量上选择,并且在每个输出变量上选择梯形和三角形隶属函数。所选择的其他组件是代数产品T - 符号,有界和S - 范数,线性模糊控制规则和总和(COS)Defuzzzification。在文献中没有报道通过Larsen产品推断的最简单的模糊PI或PD分托控制器的数学模型,因此在本文中首次呈现了模型。

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