On the design of observer-based fuzzy adaptive controller for nonlinear systems with unknown control gain sign

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• 作者：A. Boulkroune^a ; ^{boulkroune2002@yahoo.fr} ; M. M'saad^b ; ^{msaad@greyc.ensicaen.fr}
• 关键词：Fuzzy system ; Adaptive control ; Observer ; Nussbaum function ; SPR condition ; Nonlinear system
• 刊名：Fuzzy Sets and Systems
• 出版年：2012
• 期刊代码：55_01650114
• 类别：cp
• 出版时间：16 August, 2012
• 卷：201
• 期：Complete
• 页码：71-85
• 文件大小：375 K

摘要

In this paper, an observer-based fuzzy adaptive controller for nonlinear systems with unknown control gain sign is investigated. Because the system states are not available for measurement, a tracking-error observer is constructed. In this controller, the adaptive fuzzy system is used to approximate the unknown nonlinearities and the Nussbaum function is incorporated to deal with the unknown control direction (i.e. with the unknown control gain sign). The stability of the closed-loop system is proven using the strictly positive real (SPR) condition and Lyapunov theory. Finally, simulation results are given to verify the feasibility and effectiveness of the proposed controller.