Robust stability of fractional order system with polynomial uncertainties based on sum-of-squares approach

被引：3

作者：

Zheng, Shiqi ^{[1
,2
]}

Liang, Bingyun ^{[1
,2
]}

Liu, Feng ^{[1
,2
]}

Yang, Zichao ^{[1
,2
]}

Xie, Yuanlong ^{[3
]}

机构：

[1] China Univ Geosci, Sch Automat, 388 Lumo Rd, Wuhan 430074, Peoples R China

[2] Hubei Key Lab Adv Control & Intelligent Automat C, Wuhan 430074, Peoples R China

[3] Huazhong Univ Sci & Technol, Wuhan, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2020年 / 357卷 / 12期

基金：

中国国家自然科学基金;

关键词：

INTERVAL SYSTEMS; CONTROLLERS; STABILIZATION;

D O I：

10.1016/j.jfranklin.2020.05.033

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 concentrates on the study of robust stability of fractional order system with polynomial uncertainties. Polynomial uncertainties means that the coefficients of the fractional system are polynomial functions of the parameters, and the uncertain parameters vary in semialgebraic set. The roots of the fractional order characteristic function are assigned in the shifted half plane. Therefore, the fractional system can maintain certain robustness and time domain performance. In order to check the robust stability of fractional order polynomial system, alternative methods are presented by using Sum of Squares (SOS) programs. Since SOS programs can be all written as Linear Matrix Inequalities (LMI) feasibility tests, our proposed method embraces the advantages of LMI techniques. Numerical examples are presented to illustrate the proposed results. (c) 2020 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：8035 / 8058

页数：24

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