Design Of Interval Type 2 Fuzzy Adaptive Sliding Mode Control Via Backstepping

In this paper, an Interval Type 2 Fuzzy Adaptive Backstepping Sliding Mode Controller (IT2FABSMC) is proposed for nonlinear unknown systems. The proposed approach is a combination of the interval type 2 fuzzy logic control (IT2FLC), the sliding mode control (SMC) and the Backstepping control (BC), which inherits the benefits of these three methods. The objective of the proposed controller is to allow the system to move to the sliding surface and remain on it, to ensure the asymptotic stability of the closed loop system. IT2FA systems are used to approximate the unknown dynamics of the system and the switching control. The inverted pendulum with uncertainty and disturbance is adopted to illustrate the validity of the proposed method. Simulation results show that the IT2FABSMC achieves the tracking performances in comparison with the T1FABSMC.