Direct adaptive fuzzy control for a class of nonlinear systems based on integral Lyapunov functions

Authors:
Shi Wuxi
Affiliations:
School of Computer Technology and Automation, Tianjin Polytechnic University, Tianjin, China
Venue:
FSKD'09 Proceedings of the 6th international conference on Fuzzy systems and knowledge discovery - Volume 6
Year:
2009

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Abstract

In this paper, a direct adaptive fuzzy control scheme is developed for a class of uncertain nonlinear systems based on integral Lyapunov functions. In this scheme, using the fuzzy logic system online approximation capability,the fuzzy approximator is used to design a direct adaptive fuzzy controller, and the unknown parameters are adjusted by the time-varying dead-zone, which its size is adjusted adaptively. The proposed design scheme guarantees that all the signals in the resulting closed-loop system are bounded, and the tracking error converges to a small neighborhood of the origin. Finally, a simulation example is used to demonstrate the effectiveness of the proposed control scheme.