Abstract:

Based on the adding a power integrator method, a non-smooth state feedback adaptive neural network dynamic surface control scheme is proposed for a class of uncertain high-order nonlinear systems with unknown time varying delays. The appropriate Lyapunov Krasovskii functionals are chosen to deal with the unknown timevarying delay uncertainties. The proper power function of the norm of the neural network’s power value is adopted to model the constructed unknown function in every step. And the problem of “explosion of complexity” can be solved by adopting the dynamic surface control. The designed controller can guarantee that all the states of the closedloop control systems and the tracking error are semi-global uniformly ultimately bounded. The results of a simulation example demonstrate the effectiveness of this scheme.