Adaptive fuzzy dynamic surface control for a class of nonlinear systems with fuzzy dead zone and dynamic uncertainties

Abstract

In this paper, a fuzzy adaptive dynamic surface control is developed for a class of nonlinear systems with fuzzy dead zone and dynamic uncertainties. The nonlinear systems addressed in this paper are assumed to possess the unmodeled dynamics, dynamical disturbances and unknown nonlinear functions. By using a new scheme, the assumption on the dynamic uncertainties is relaxed, but the control law is simpler than the ones in the existing papers. Moreover, the dead zone input of the nonlinear systems is fuzzy, and by defuzzifying for fuzzy dead zone $$\tilde{\Gamma }(u)$$ and adopting an integrated design, a new fuzzy controller is constructed. It is shown that, despite fuzzy dead zone input $$\tilde{\Gamma }(u)$$ , the proposed integrated fuzzy controller can guarantee the desired tracking performance. Finally, simulation example demonstrates the effectiveness of the proposed scheme.