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This paper reveals a new mathematical model of the simplest fuzzy PID controller which employs two fuzzy sets (negative and positive) on each of the three input variables (error, change in error and double change in error) and four fuzzy sets (−2, −1, +1, +2) on the output variable (incremental control). L — type, Γ — type and Π — type membership functions are considered in fuzzification process of...
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...
In this paper mathematical models of Mamdani type fuzzy PI or PD controllers via Center of Gravity (CoG) defuzzification are obtained. These controllers are called the simplest fuzzy PI or PD controllers as minimal number of fuzzy sets (two fuzzy sets on each of the two-input variables and three fuzzy sets on the output variable) are employed. The basic components of these models are L-type and Y-type...
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