Backstepping Control of Uncertain Time Delay Systems Based on Neural Network

Authors:
Mou Chen;Chang-Sheng Jiang;Qing-Xian Wu;Wen-Hua Chen
Affiliations:
Automation College, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;Automation College, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;Automation College, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;Department of Aeronautical and Automotive Engineering, Loughborough University Loughborough, Leicestershire LE11 3TU, UK
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, a robust adaptive control scheme is proposed for a class of uncertain MIMO time delay systems based on backstepping method with Radical basis function(RBF) neural network. The system uncertainty is approximated by RBF neural networks, and a parameter update law is presented for approximating the system uncertainty. In each step, the control scheme is derived in terms of linear matrix inequalities (LMI's). A robust adaptive controller is designed using backstepping and LMI method based on the output of the RBF neural networks. Finally, an example is given to illustrate the availability of the proposed control scheme.