Relationship between fuzzy controllers and PID controllers
Hongxing Li, C. L. Philip Chen · 2003
The internal relationship between fuzzy controllers and PID controllers is discussed. First, we point out that a fuzzy controller with one input and one output is a piecewise P controller. Then it is proved that a fuzzy controller with two inputs and one output is a piecewise PD (or I) controller with mutual affection between P and D (or PI). finally, we prove that a fuzzy controller with three inputs and one output is a piecewise PID controller with mutual affection among P, I and D.