Observer-based robust adaptive fuzzy sliding mode control for unknown nonlinear dynamical systems with dead-zone input

In this paper, an observer-based robust adaptive fuzzy sliding mode controller (RAFSMC) for an unknown nonlinear dynamical system with dead-zone input is presented. First, the fuzzy models are used to estimate the unknown function of the nonlinear dynamical system. Next, an observer is employed to estimate the tracking error. By the strictly-positive-real (SPR) Lyapunov stability theorem, it is shown that the proposed controller can not only attenuate the effect of dead-zone input and disturbance, but also guarantees the stability of the overall system. An example is given to illustrate the feasibility and the effectiveness of the proposed control strategy.