Design and performance analysis of tracking controller for uncertain nonlinear composite system using neural networks

Based on high order dynamic neural network, this paper presents the tracking problem for uncertain nonlinear composite system, which contains external disturbance, whose nonlinearities are assumed to be unknown. A smooth controller is designed to guarantee a uniform ultimate boundedness property for the tracking error and all other signals in the dosed loop. Certain measures are utilized to test its performance. No a priori knowledge of an upper bound on the “optimal” weight and modeling error is required; the weights of neural networks are updated on-line. Numerical simulations performed on a simple example illustrate and clarify the approach.

Design and performance analysis of tracking controller for uncertain nonlinear composite system using neural networks

Based on high order dynamic neural network, this paper presents the tracking problem for uncertain nonlinear composite system, which contains external disturbance, whose nonlinearities are assumed to be unknown. A smooth controller is designed to guarantee a uniform ultimate boundedness property for the tracking error and all other signals in the closed loop. Certain measures are utilized to test its performance. No a priori knowledge of an upper bound on the “optimal” weight and modeling error is required; the weights of neural networks are updated on-line. Numerical simulations performed on a simple example illustrate and clarify the approach. This work was supported by the National Natural Science Foundation of China ( No. 60274009) and Specialized Research Fund for the Doctoral Program of Higher Education (No.20020145007). Endong LIU was born in 1969. He is engineer at Angang New Iron and Steel Company. He is currently a doctorate candidate at School of Information Science and Engineering, Northeastern University, China. His main research interests include complex systems control theory, robust control and neural networks. E-mail: Iiued69@163.com. Yuanwei JING was born in 1956. He is professor of Northeastern University. His main research interests include structure analysis and control of complex control systems, game theory, and network communication control. Siying ZHANG was born in 1925. He graduated from Wuhan University in 1948. He is an academician of the Chinese Academy of Sciences; Professor of Northeastern University. His main research interests include complex systems control and control theory.