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

页码：955 / 964

页数：10

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