Mathematical Models of the Simplest Fuzzy Two-Term (PI/PD) Controllers Using Algebraic Product Inference

Table 2

(a) Signs of 𝑠₁ and 𝑠₂. (b) Signs of 𝑠₁, 𝑠₂ and 𝑠₃. (c) Attributes of 𝑠₁, 𝑠₂, and 𝑥_𝑁(𝑘).

(a)

Region	𝑠1	𝑠2
1, 2	+	−
3, 4	−	+

(b)

Region	𝑠1	𝑠2	𝑠3
1	−	+	−
2	−	+	+
3	+	−	+
4	+	−	−

(c)

Region	𝑠1	𝑠2	𝑥𝑁(𝑘)
1	−	+	−𝑣𝑁(𝑘)
2	−	+	𝑑𝑁(𝑘)
3	+	−	𝑣𝑁(𝑘)
4	+	−	−𝑑𝑁(𝑘)