Stability analysis of linear systems with two additive time-varying delays via delay-product-type Lyapunov functional

被引：55
|
作者：
Xu, Hao-Tian [1 ]
Zhang, Chuan-Ke [1 ,2 ]
Jiang, Lin [1 ]
Smith, Jeremy [1 ]
机构：
[1] Univ Liverpool, Dept Elect Engn & Elect, Liverpool L69 3GJ, Merseyside, England
[2] China Univ Geosci, Sch Automat, Wuhan 430074, Peoples R China
来源：
APPLIED MATHEMATICAL MODELLING | 2017年 / 45卷
基金：
中国国家自然科学基金;
关键词：
Linear system; Time-varying delay; Stability; Writinger-based inequality; Delay-product-type functional; LOAD FREQUENCY CONTROL; DEPENDENT STABILITY; ROBUST STABILITY; INEQUALITY; CRITERIA;
D O I：
10.1016/j.apm.2017.01.032
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper is concerned with the stability analysis of continuous linear systems with two additive time-varying delays in the Lyapunov-Krasovskii functional (LKF) framework. Two novel delay-product-type terms are introduced into LKF candidate inspired by our previous research. The Wirtinger-based inequality, together with the reciprocally convex combination technique, is applied to estimate the integral terms arising in the derivative of the LKF. As a result, a new delay-and its-change-rate-dependent stability criterion is established. Its advantage of less conservatism than some existing criteria is demonstrated through a numerical example. Finally, the stability criterion is applied to analyze the stability of the load frequency control scheme of power systems. (C) 2017 Elsevier Inc. All rights reserved.
引用
收藏
页码：955 / 964
页数：10
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