Local input-to-state stabilization of time-delay systems subject to actuator saturation and external disturbance

被引：5

作者：

Ding, Yucai ^{[1
]}

Cheng, Jun ^{[2
]}

Liu, Hui ^{[1
]}

Zhong, Shouming ^{[3
]}

机构：

[1] Southwest Univ Sci & Technol, Sch Sci, Mianyang 621010, Sichuan, Peoples R China

[2] Guangxi Normal Univ, Coll Math & Stat, Guilin 541006, Peoples R China

[3] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2020年 / 357卷 / 07期

关键词：

LINEAR-SYSTEMS; MULTIAGENT SYSTEMS; STOCHASTIC-SYSTEMS; STABILITY ANALYSIS; CONTROLLER-DESIGN; CONSENSUS; INEQUALITY;

D O I：

10.1016/j.jfranklin.2020.01.020

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, we deal with the problem of local input-to-state stabilization for a class of time-delay systems subject to actuator saturation and external disturbance. The saturation function is described by a polytopic representation. Based on the Lyapunov-Krasovskii functional method, sufficient conditions on local input-to-state stabilization are derived in terms of linear matrix inequalities (LMIs). Meanwhile, the maximal domain of the initial states is estimated such that the state trajectories starting from this domain are bounded. In the absence of the external disturbance, the exponential stabilization problem is also considered. Three numerical examples are provided to illustrate the feasibility and effectiveness of the derived results. (C) 2020 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：4154 / 4170

页数：17

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