Adaptive Backstepping Fuzzy Control for Nonlinearly Parameterized Systems With Periodic Disturbances

被引：195
|
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
收藏
页码：674 / 685
页数：12
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