Mostafa Ghaemi
Mohammad-R Akbarzadeh-T

A stable adaptive interval type-2 fuzzy sliding mode control for a class of nonlinear systems is investigated. The method is based on interval type-2 fuzzy logic system (IT2 FLS) to approximate unknown nonlinear functions. The use of this type-2 control requires an additional operation which is the type reduction, in comparing with typ-1 control. The proposed controller use singleton fuzzifier, product inference engine, center of sets type reduction and average defuzzifier. Based on the Lyapunov method, we design the adaptive interval type-2 fuzzy sliding mode control with mathematical proofs for stability and convergence of the closed-loop system. Two nonlinear system simulation examples are presented to verify the effectiveness of the (IT2 FLS) that is introduced.

Adaptive interval type-2 fuzzy sliding mode, Uncertain nonlinear systems, Type-1 and interval type-2 fuzzy set, Interval type-2 fuzzy logic system (IT2 FLS), Type reducer