Abstract

In this paper, a novel stable adaptive fuzzy sliding–mode controller (AFSMC) is investigated for a class of uncertain underactuated nonlinear dynamic systems. The underactuated system is decoupled into two subsystems. In the controller design, a sliding surface for each subsystem is defined and a suitable adaptive fuzzy system is used to reasonably approximate the uncertain functions. The stability of the closed-loop system is proven by Lyapunov approach. The effectiveness of the proposed AFSMC is illustrated throughout simulation results.

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