Analytical Structures of Some Simplest Fuzzy PD Controllers using Bounded Sum Aggregation
Sadhna Malik, B.M. Mohan · IFAC-PapersOnLine · 2024
Bounded Sum (BS) was hardly used as an aggregation operator in the modeling of fuzzy controllers. In this work, the utilization of the Bounded Sum (BS) as an aggregation operator has been explored in the modeling of the simplest fuzzy PD controller. Mathematical models of two simplest fuzzy PD controllers utilizing Mamdani Minimum (MM) inference and Center of Area (CoA) defuzzification have been derived in this paper. In addition to modeling, the properties of newly developed controllers are examined. A simulation study is carried out on a single link manipulator system to show the effectiveness of the proposed controllers over the linear PD controller. An improvement in numerical accuracy of results is clearly shown. These newly designed fuzzy PD controllers have the potential to be beneficial for a wide range of control applications where most traditional control algorithms might not yield satisfactory results.