Modelling and Simulation of a Mamdani Fuzzy PID Controller Using Non-Uniformly Distributed Fuzzy Sets

From the literature, it seems to the authors that there is no relevant work related to modelling of a Fuzzy PID (FPID) controller using Non-Uniformly Distributed Fuzzy Sets (NUD FSs). Fuzzy controllers with NUD FSs have more potential to deliver superior performance when the dynamic systems are nonlinear. This paper attempts to model and develop a three-input general Mamdani FPID controller using NUD FSs. Algebraic Product (AP) t-norm, Maximum (Max) t-conorm, Larsen Product (LP) inference, and Centre of Gravity (CoG) defuzzification are considered for obtaining the analytical structures of the controller. The applicability and usefulness of the proposed FPID controller are demonstrated through the simulation of two nonlinear plants.