Robust stability criteria for interval fractional-order systems: the 0<a<1 case

被引：0

作者：

Gao, Zhe ^{[1
,2
]}

Liao, Xiao-Zhong ^{[1
,2
]}

机构：

[1] School of Automation, Beijing Institute of Technology

[2] Key Laboratory of Complex System Intelligent Control and Decision, Beijing Institute of Technology, Ministry of Education

来源：

Zidonghua Xuebao/Acta Automatica Sinica | 2012年 / 38卷 / 02期

关键词：

Fractional-order system; Interval uncertainty; Robust stability; Value set;

D O I：

10.3724/SP.J.1004.2012.00175

中图分类号：

学科分类号：

摘要：

This paper presents a robust stability theorem like the Kharitonov theorem for interval fractional-order systems with commensurate order between 0 and 1. The condition that the origin is not contained in the value set of the principle branch function of denominator function in an interval fractional-order system is studied. The vertex and edge conditions for interval fractional-order systems are proposed based on the zero exclusion principle. Some matrices depending on parameters of the denominator function are defined and the edge conditions are tested by checking whether eigenvalues of each matrix lie on the negative real axis. Finally, two numerical examples are analyzed to illustrate the effectiveness of the proposed method. © 2012 Acta Automatica Sinica. All rights reserved.

引用

页码：175 / 182

页数：7

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