Adaptive Controller Design for a Class of Uncertain Fractional-Order Nonlinear Systems: An Adaptive Fuzzy Approach

被引：59
|
作者：
Liu, Heng [1 ,2 ]
Li, Shenggang [1 ]
Li, Guanjun [2 ]
Wang, Hongxing [3 ]
机构：
[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710119, Shaanxi, Peoples R China
[2] Huainan Normal Univ, Dept Appl Math, Huainan 232038, Peoples R China
[3] Guangxi Univ Nationalities, Sch Sci, Guangxi Key Lab Hybrid Computat & IC Design Anal, Nanning 530006, Peoples R China
来源：
INTERNATIONAL JOURNAL OF FUZZY SYSTEMS | 2018年 / 20卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Adaptive fuzzy control; Fractional-order nonlinear system; Fractional adaptation law; FINITE-TIME STABILITY; ROBUST STABILITY; LINEAR-SYSTEMS; LYAPUNOV FUNCTIONS; NEURAL-NETWORKS; MIMO SYSTEMS; SYNCHRONIZATION; STABILIZATION; SUBJECT; SCHEME;
D O I：
10.1007/s40815-017-0371-5
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
An adaptive fuzzy controller is designed for uncertain fractional-order nonlinear systems in this paper. Fuzzy logic system is utilized to estimate an unknown nonlinear function. By using fractional-order Lyapunov stability criterion, an adaptive fuzzy controller, which is valid for both the Caputo fractional-order systems and the Riemann-Liouville fractional-order systems, is constructed. Fuzzy system parameters are updated by fractional-order differential equations online, and the boundedness of the parameters can be guaranteed. In stability analysis, quadratic Lyapunov functions are utilized, and some basic results which are useful in the stability analysis of fractional-order nonlinear systems are proposed. Finally, simulation results are presented to confirm our results.
引用
收藏
页码：366 / 379
页数：14
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