Adaptive Backstepping Fuzzy Control for Nonlinearly Parameterized Systems With Periodic Disturbances

被引：196

作者：

Chen, Weisheng ^{[1
,2
]}

Jiao, Licheng ^{[1
]}

Li, Ruihong ^{[2
]}

Li, Jing ^{[2
]}

机构：

[1] Xidian Univ, Key Lab Intelligent Percept & Image Understanding, Minist Educ China, Inst Intelligent Informat Proc, Xian 710071, Peoples R China

[2] Xidian Univ, Dept Appl Math, Xian 710071, Peoples R China

来源：

IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2010年 / 18卷 / 04期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Dynamic surface control; Fourier series expansion (FSE); fuzzy-logic system (FLS); integral Lyapunov function (ILF); nonlinearly parameterized system; periodic disturbance; DYNAMIC SURFACE CONTROL; TRACKING CONTROL; ASYMPTOTIC REJECTION; LEARNING CONTROL; NEURAL-CONTROL; DESIGN;

D O I：

10.1109/TFUZZ.2010.2046329

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

A novel-function approximator is constructed by combining a fuzzy-logic system with a Fourier series expansion in order to model unknown periodically disturbed system functions. Then, an adaptive backstepping tracking-control scheme is developed, where the dynamic-surface-control approach is used to solve the problem of "explosion of complexity" in the backstepping design procedure, and the time-varying parameter-dependent integral Lyapunov function is used to analyze the stability of the closed-loop system. The semiglobal uniform ultimate boundedness of all closed-loop signals is guaranteed, and the tracking error is proved to converge to a small residual set around the origin. Two simulation examples are provided to illustrate the effectiveness of the control scheme designed in this paper.

引用

页码：674 / 685

页数：12

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