Stability and stabilization for switched positive systems under a weighted MDADT method

被引：13

作者：

Du, Shengli ^{[1
,2
]}

Dong, Jiangtao ^{[1
,2
]}

Li, Xu ^{[3
]}

Qiao, Junfei ^{[1
,2
]}

机构：

[1] Beijing Univ Technol, Sch Artificial Intelligence & Automat, Beijing 100124, Peoples R China

[2] Minist Educ, Engn Res Ctr Intelligent Percept & Autonomous Con, Beijing 100124, Peoples R China

[3] Dalian Univ Technol, Minist Educ, Key Lab Precis & Nontradit Machining Technol, Dalian 116024, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2022年 / 359卷 / 08期

基金：

中国国家自然科学基金; 北京市自然科学基金;

关键词：

LINEAR-SYSTEMS; NONLINEAR-SYSTEMS; CONTROLLER SYNTHESIS; DELAY;

D O I：

10.1016/j.jfranklin.2022.03.001

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The stability and stabilization synthesis problems of the switched positive systems (SPSs) with external disturbances are studied in this paper. For the studied SPSs, a weighted mode-dependent average dwell time (WMDADT) switched strategy has been adopted to analyze the above-mentioned issue, based on which the deficiencies of the existing ADT and MDADT switching techniques can be overcomed. By using the adopted strategy, some improved stability conditions that have less conservativeness are presented for the systems under investigation. Moreover, based on the developed stability conditions, an efficient controller design method avoiding computational complexity and eliminating the rank requirement of the controller is presented. In the end, the effectiveness of the method is verified by two numerical examples. (C) 2022 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：3656 / 3670

页数：15

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