A new interval type-2 fuzzy controller for stabilization of interval type-2 T–S fuzzy systems

Abstract This study proposes a new interval type-2 (IT2) fuzzy controller for stabilization of nonlinear systems subject to parameter uncertainties. An IT2 T–S fuzzy model is employed to represent the nonlinear systems. New membership-dependent stability conditions in terms of linear matrix inequalities (LMIs) are derived by employing fuzzy weighting-dependent Lyapunov functions. The information about the time derivative of upper and lower membership functions is considered to achieve more relaxed stability conditions. Compared to existing techniques in literature, simulation examples illustrate that the conservativeness of the obtained results is reduced.