Delay-dependent criteria for robust stability and stabilization of fractional-order time-varying delay systems

被引：16
|
作者：
Jin, Xiao-Chuang [1 ,2 ]
Lu, Jun-Guo [1 ,2 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200240, Peoples R China
[2] Minist Educ China, Key Lab Syst Control & Informat Proc, Shanghai 200240, Peoples R China
来源：
EUROPEAN JOURNAL OF CONTROL | 2022年 / 67卷
基金：
中国国家自然科学基金;
关键词：
Fractional-order system; Time-varying delay; Lyapunov Razumikhin theorem; Robust stabilization; LYAPUNOV FUNCTIONS; DIFFERENTIAL-SYSTEMS;
D O I：
10.1016/j.ejcon.2022.100704
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 robust stability and stabilization problems for fractional-order time-varying delay systems are investigated. Firstly, a new fractional-order Razumikhin theorem is given. By using the proposed fractional-order Razumikhin theorem, novel delay-dependent stability conditions for both nominal and uncertain linear fractional-order time-varying delay systems are derived. The results are in form of linear matrix inequalities, which are convenient for application and calculation. Then, the obtained stability conditions are utilized to derive a state feedback stabilization controller. To tackle the computational difficulty of the controller design method, a local optimization algorithm is proposed. Finally, three examples are provided to illustrate that the proposed results are valid and less conservative. (C) 2022 European Control Association. Published by Elsevier Ltd. All rights reserved.
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页数：12
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