Adaptive neural network control for a class of nonlinear time-delay systems

An observer-based adaptive neural network robust control for a class of nonlinear time-delay systems with unmodeled dynamics. By the implicit function theorem, Taylor´s formula and mean theorem, the form of the non-affine nonlinear systems is transformed into the form of affine nonlinear systems. The controller designed to attenuate the effect of external disturbance and approximation errors of the neural networks on tracking. The applicability of our results is demonstrated by means of a specific example.