Design of fuzzy output feedback stabilization for uncertain fractional-order systems

被引：34

作者：

Ji, Yude ^{[1
,2
]}

Su, Lianqing ^{[2
]}

Qiu, Jiqing ^{[2
]}

机构：

[1] Hebei Normal Univ, Coll Math & Sci Informat, Shijiazhuang 050024, Hebei, Peoples R China

[2] Hebei Univ Sci & Technol, Coll Sci, Shijiazhuang 050018, Hebei, Peoples R China

来源：

NEUROCOMPUTING | 2016年 / 173卷

关键词：

Fractional-order systems (FOS); Fuzzy output feedback controller; Linear matrix inequality (LMI); ROBUST STABILITY ANALYSIS; H-INFINITY CONTROL; MODEL; CONTROLLER;

D O I：

10.1016/j.neucom.2015.09.041

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper focuses on the fuzzy output feedback stabilization for uncertain fractional-order systems (FOS) in the case of the fractional-order satisfying 0 < alpha < 1 and 1 <= alpha < 2. Firstly, the uncertain FOS is described by the so-called fractional-order Takagi-Sugeno (T-S) fuzzy model, and the fuzzy output feedback controller is correspondingly designed. Secondly, based on the slack variable method and FOS stability criteria, sufficient conditions in the form of linear matrix inequality (LMI) are derived for the robust asymptotical stability of the closed-loop control systems with fractional-order 0 < alpha < 1. Furthermore, the results are extended to stabilize the FOS with fractional-order 1 <= alpha < 2. Finally, two numerical simulation examples are given to show the effectiveness of the proposed method. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：1683 / 1693

页数：11

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