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Approximation-based adaptive tracking control of pure-feedback nonlinear systems with multiple unknown time-varying delays

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2 Author(s)
Min Wang ; College of Automation and the Center for Control and Optimization, South China University of Technology, Guangzhou 510641, China ; Shuzhi Sam Ge

This paper presents adaptive neural tracking control for a class of non-affine pure-feedback systems with multiple unknown state time-varying delays. The separation technique is introduced to decompose unknown functions of all time-varying delayed states into a series of continuous functions of each delayed state. A novel Lyapunov-Krasovskii functional is employed to compensate for the unknown function of current delayed state, which is effectively free from any restrictive assumption on unknown time-delay functions. The proposed control scheme guarantees the boundedness of all the signals in the closed-loop system and the tracking performance. Simulation studies are provided to demonstrate the effectiveness of the proposed scheme.

Published in:

Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on

Date of Conference:

15-18 Dec. 2009