A note on fuzzy PI-type controllers with resetting action

Abstract
In this note we analyze the effect of the resetting operation in the fuzzy PI controller proposed by Lee (IEEE Trans. Fuzzy Systems 1(4) (1993) 298–301). We justify that the resetting operation can result in a steady-state error for different systems thereby destroying one of the important characteristics of PI-type controllers. We also exhibited through simulations with several second-order linear as well as non-linear systems with and without integration that the resetting operation makes the fuzzy PI controller behave more like a fuzzy PD controller, although for some systems the resetting operation can improve the transient response significantly.

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