Robust stability analysis of fractional-order interval systems with multiple time delays

被引：23
|
作者：
Mohsenipour, Reza [1 ]
Jegarkandi, Mohsen Fathi [1 ]
机构：
[1] Sharif Univ Technol, Dept Aerosp Engn, Tehran 1458889694, Iran
来源：
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2019年 / 29卷 / 06期
关键词：
fractional-order system; neutral delay system; retarded delay system; robust stability; NUMERICAL ALGORITHM; BIBO-STABILITY; IDENTIFICATION; STABILIZATION; CONTROLLERS; CRITERION; UNCERTAINTIES; INEQUALITY; MODEL;
D O I：
10.1002/rnc.4461
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 robust stability analysis of fractional-order interval systems with multiple time delays, including retarded and neutral systems. A bound on the poles of fractional-order interval systems of retarded and neutral type is obtained. Then, the concept of the value set and zero exclusion principle is extended to these systems, and a necessary and sufficient condition is produced for checking the robust stability of them. The value set of the characteristic equation of the systems is obtained analytically and, based on it, an auxiliary function is introduced to check the zero exclusion principle. Finally, two numerical examples are given to illustrate the effectiveness of the results presented.
引用
收藏
页码：1823 / 1839
页数：17
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