Robust Fuzzy Control using the Type2 Distending Function

Abstract

Here, we develop a novel robust type2 fuzzy controller (FC). It is based on a new type-2 membership function called the type2 Distending Function (T2DF). It can model the uncertainties associated with the measurement noise. The design process does not include the implication and the type reduction steps, hence it is computationally efficient. Also, aggregation is carried out using fuzzy arithmetic operations and T2DF is closed under linear combination. Because of these unique features, the proposed type2 FC performs better even in the presence of large measurement noise. The efficiency of the proposed FC is demonstrated using the altitude control of a quadcopter with a noisy feedback signal.