Adaptive backstepping neural network control for unknown nonlinear time-delay systems

Abstract

For a class of unknown nonlinear time-delay systems, an adaptive neural network (NN) control design is proposed in this paper. Bacsteppping, domination and adaptive bounding design technique are combined to construct an adaptive NN controller. Unknown time-delay functions are approximated by NNs. Based on the Lyapnov-Krasovikii functional, the sem-globally uniformly ultimately boundedness (SGUUB) of all the signals in the closed-loop systems is proved. The arbitrary output tracking accuracy is achieved by tuning the design parameters. The feasibility is investigated by an illustrative simulation example. © Springer-Verlag Berlin Heidelberg 2005.