Vibration suppression for two-inertia system based on backstepping and interval type-2 fuzzy neural networks

This paper proposed an adaptive backstepping controller based on interval type-2 fuzzy neural networks for the nonlinear two-inertia system with uncertainty and disturbance. First, a mathematic model of the two-inertia system was presented, and the control law was designed based on adaptive backstepping method with regard of uncertainty. Next, the uncertainty and disturbance of the control system were defined as a total disturbance to be estimated by using interval type-2 fuzzy neural networks, the parameter adaptive law was given based on interval type-2 fuzzy neural networks, and the convergence of output tracking was proved via Lyapunov stability theory. Finally, simulations demonstrate the effectiveness and applicability of the proposed control scheme.