Stabilization of a class of Takagi-Sugeno fuzzy fractional order systems based on fuzzy controller switching

被引：0

作者：

Wang, Zhe ^{[1
]}

Pan, Feng ^{[1
]}

Xue, Dingyu ^{[1
]}

Nie, Jiwei ^{[1
]}

机构：

[1] Northeastern Univ, Sch Informat Sci & Engn, Shenyang 110004, Peoples R China

来源：

PROCEEDINGS OF THE 33RD CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2021) | 2021年

关键词：

Fractional Order Systems; Fuzzy Systems; Switching Controllers; Stabilization; Linear Matrix Inequalities; ROBUST STABILIZATION; FILTER DESIGN; UNCERTAIN; STABILITY; SUFFICIENT;

D O I：

10.1109/CCDC52312.2021.9601653

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, the stability of fuzzy fractional order systems (FOSs)is discussed. Firstly, a fuzzy model of FOSs with switching controllers is presented. Then, the stability criteria of fuzzy FOS with order 0 < alpha < 1 and 1 < alpha < 2, respectively, are given. The stability conditions are composed of bilinear matrix inequalities (BMIs) and can be converted to linear matrix inequalities (LMIs). Moreover, the stabilizing switching laws of the state-dependent form are designed. Finally, two examples are given to verify the effectiveness of the proposed results.

引用

页码：1204 / 1209

页数：6

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