Proportional Plus Derivative State Feedback Control of Takagi-Sugeno Fuzzy Singular Fractional Order Systems

被引：2

作者：

Zhang, Xuefeng ^{[1
]}

Jin, Kaijing ^{[1
]}

机构：

[1] Northeastern Univ, Coll Sci, Shenyang 110819, Liaoning, Peoples R China

来源：

INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2021年 / 19卷 / 11期

关键词：

Admissibility; fractional order systems; singular systems; Takagi-Sugeno fuzzy systems;

D O I：

10.1007/s12555-020-0556-9

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper investigates the fuzzy normalization and stabilization issues of a class of singular fractional order nonlinear systems with order 0 < alpha < 1 based on a singular Takagi-Sugeno fuzzy model. First, we present the admissibility theorem of Takagi-Sugeno fuzzy singular fractional order systems. Next, benefited by that the fuzzy model and the state feedback controllers do not share the same membership functions, a proportional plus derivative state feedback controller is designed, which guarantees the closed-loop system normalized and admissible. Finally, a numerical simulation example is given to illustrate the effectiveness of the proposed method.

引用

页码：3823 / 3829

页数：7

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