In this paper, the adaptive sliding mode control problem of fractional-order nonlinear systems in the presence of model uncertainties and external disturbances is considered. More particularly, an adaptive interval type-2 fuzzy sliding mode controller is designed for achieving finite-time stability of unknown fractional-order nonlinear systems. First, a nonsingular terminal sliding mode surface is designed to reduce chattering and improve the robustness and effectiveness of the controller. Then, the interval type-2 fuzzy logic is used to approximate the unknown parts appearing in the fractional-order nonlinear system model. Following these are augmented by a novel adaptive interval type-2 fuzzy sliding mode controller which can guarantee the stability of the target system in a finite time. In terms of Lyapunov approach, the adaptive laws are designed, meanwhile the proof of the corresponding finite-time property is presented. Finally, three examples are given to illustrate the effectiveness of the proposed strategy.
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