Delay-dependent Stability Criteria for Linear Systems with Two Additive Time-varying Delays

被引：6
|
作者：
Li, Yan [1 ]
Qiu, Tingting [1 ]
Yang, Yuehai [2 ]
机构：
[1] Yancheng Biol Engn Higher Vocat Technol Sch, Undergrad Off, Yancheng, Jiangsu, Peoples R China
[2] Yancheng Teachers Univ, Fac Educ & Sci, Yancheng, Jiangsu, Peoples R China
来源：
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2022年 / 20卷 / 02期
关键词：
Additive time-varying delays; linear matrix inequality; Lyapunov theory; stability; LURE SYSTEMS; INEQUALITY;
D O I：
10.1007/s12555-020-0344-6
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 studies the stability problem of linear systems with two additive time-varying delays. Firstly, a modified Lyapunov-Krasovskii functional (LKF) is constructed involving the delay-dependent non-integral items and some augmented single-integral items. Secondly, based on the improved LKF, a stability criterion is derived via the generalized free-matrix-based inequality application, which is less conservative than some recent existing ones. Thirdly, a generalized refinement of allowable delay set removed some impossible delay subsets is proposed to further reduce the conservatism of the stability criterion. Finally, a numerical example and an application of the load frequency control for a single area power system are presented to show the effectiveness of the proposed approach.
引用
收藏
页码：392 / 402
页数：11
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