Fuzzy approximation-based adaptive sliding-mode control scheme for underactuated systems

This paper proposes a fuzzy approximation-based adaptive sliding-mode controller for uncertain nonlinear perturbed underactuated systems. The fuzzy logic system is used for approximating the unknown nonlinear functions. For estimating the parameters of the fuzzy systems and some unknown bounds, a set of adaptation laws are appropriately designed. The boundedness of all signals of the closed-loop system as well as the asymptotic convergence of the underlying tracking errors to the origin are established based on a Lyapunov analysis. The effectiveness of the proposed fuzzy adaptive controller is illustrated throughout simulation results.