Adaptive fuzzy prescribed performance controller design for a class of uncertain fractional-order nonlinear systems with external disturbances

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• 作者：Heng Liu^a ; ^bAuthor Vitae ; Shenggang Li^aAuthor Vitae ; Jinde Cao^c ; ^d ; ^{jdcao@seu.edu.cn}Author Vitae ; Guanjun Li^bAuthor Vitae ; Ahmed Alsaedi^eAuthor Vitae ; Fuad E. Alsaadi^fAuthor Vitae
• 关键词：Adaptive fuzzy control ; Fractional-order nonlinear system ; Prescribed performance control ; Fractional-order controller
• 刊名：Neurocomputing
• 出版年：2017
• 出版时间：5 January 2017
• 年：2017
• 卷：219
• 期：Complete
• 页码：422-430
• 全文大小：1246 K
• 卷排序：219

文摘

A fractional-order adaptive fuzzy controller, capable of guaranteeing prescribed performance, is designed for a class of uncertain fractional-order nonlinear systems with external disturbances in this paper. With respect to the prescribed performance control, we mean that the system variables converge to an arbitrary small region of the origin with convergence rate no less than a certain prescribed function. Fuzzy logic system is utilized to approximate an unknown nonlinear function which contains fractional-order terms. Based on the Lyapunov stability criterion, a fractional-order adaptive fuzzy sliding mode controller, which can guarantee the stability of the closed-loop system as well as the prescribed performance, is constructed. Finally, simulation results are given to confirm our results.