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Journal of Applied Mathematics
Volume 2012, Article ID 158720, 15 pages
http://dx.doi.org/10.1155/2012/158720
Research Article

The Hybrid Adaptive Control of T-S Fuzzy System Based on Niche

1Department of Mathematics, East China Normal University, Shanghai 200241, China
2Department of Mathematics, Nantong Shipping College, Jiangsu, Nantong 226010, China
3Department of Mathematics, Jiangsu College of Information Technology, Jiangsu, Wuxi 214400, China
4Faculty of Science, Jiangsu University, Jiangsu, Zhenjiang 212013, China

Received 31 March 2012; Revised 14 May 2012; Accepted 14 May 2012

Academic Editor: Zhiwei Gao

Copyright © 2012 Tong Zhao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Based on the niche characteristics, a hybrid adaptive fuzzy control method with the function of continuous supervisory control is proposed in this paper. Considering the close degree of Niche as the consequent of adaptive T-S fuzzy control system, the hybrid control law is designed by tracking, continuous supervisory, and adaptive compensation. Adaptive compensator is used in the controller to compensate the approximation error of fuzzy logic system and the effect of the external disturbance. The adaptive law of consequent parameters, which is achieved in this paper, embodies system adaptability as biological individual. It is proved that all signals in the closed-loop system are bounded and tracking error converges to zero by Lyapunov stability theory. The effectiveness of the approach is demonstrated by the simulation results.