Adaptive Control for a Class of Nonlinear Time-Delay Systems Using RBF Neural Networks

Authors:
Geng Ji;Qi Luo
Affiliations:
School of Mathematics and Information Engineering, Taizhou University, Linhai 317000, P.R. China;College of Information and Control, Nanjing University of Information Science and Technology, Nanjing 210044, P.R. China
Venue:
ISNN '07 Proceedings of the 4th international symposium on Neural Networks: Advances in Neural Networks
Year:
2007

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Abstract

In this paper, adaptive neural network control is proposed for a class of strict-feedback nonlinear time-delay systems. Unknown smooth function vectors and unknown time-delay functions are approximated by two neural networks, respectively, such that the requirement on the unknown time-delay functions is relaxed. In addition, the proposed systematic backstepping design method has been proven to be able to guarantee semiglobally uniformly ultimately bounded of closed loop signals, and the output of the system has been proven to converge to a small neighborhood of the desired trajectory. Finally, simulation result is presented to demonstrate the effectiveness of the approach.