Stability and stabilisation for switched impulsive positive systems

被引：5

作者：

Du, Shengli ^{[1
,2
]}

Dong, Jiangtao ^{[1
,2
]}

Wang, Yuee ^{[3
]}

机构：

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

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

[3] Shaanxi Normal Univ, Sch Math & Informat Sci, Xian, Peoples R China

来源：

IET CONTROL THEORY AND APPLICATIONS | 2021年 / 15卷 / 06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：

DISCRETE-TIME-SYSTEMS; S FUZZY-SYSTEMS; LYAPUNOV FUNCTIONS; ROBUST STABILITY;

D O I：

10.1049/cth2.12085

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 current study is dedicated to addressing the stability and weighted L1-gain performance analysis of switched impulsive positive systems (SIPSs). Firstly, by designing a novel multiple piecewise-continuous copositive linear Lyapunov function and using the mode-dependent average dwell time (MDADT) switching method, improved stability conditions that are able to achieve a tighter dwell time bound are developed. It is shown that the system under study is stable and possesses an attenuation property under the designed switching signals. Secondly, with the above stability conditions, a more effective controller design strategy has been proposed. The solved controllers are both quasi-time dependent and mode-dependent. Moreover, the constraint on the rank of the controller and the computation burden caused by iteration algorithm used in literature are relaxed. Finally, the feasibility and superiority of the proposed strategies are verified by some simulations.

引用

页码：839 / 849

页数：11

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