Stabilization for constrained switched positive linear systems via polyhedral copositive Lyapunov functions

被引：9
作者：
Wu, Feiyue [1 ,2 ]
Lian, Jie [1 ,2 ]
Wang, Dong [1 ,2 ]
机构：
[1] Dalian Univ Technol, Key Lab Intelligent Control & Optimizat Ind Equipm, Minist Educ, Dalian 116024, Peoples R China
[2] Dalian Univ Technol, Sch Control Sci & Engn, Dalian 116024, Peoples R China
来源：
INFORMATION SCIENCES | 2022年 / 602卷
基金：
美国国家科学基金会;
关键词：
Switched positive systems; Constrained stabilization; Copositive Lyapunov function; Domain of attraction; STABILITY; DESIGN;
D O I：
10.1016/j.ins.2022.04.016
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 constrained stabilization problem of switched positive linear systems (SPLS) with bounded inputs and states is investigated via the set-theoretic framework of polyhedral copositive Lyapunov functions (PCLFs). It is shown that the existence of a common PCLF is proved to be necessary and sufficient for the stabilizability of an SPLS. As a primary contribution of this paper, we propose a PCLF-based approach for stabilization with a larger estimate of the domain of attraction for the constrained SPLSs. The analysis problems are converted into optimization problems whose constraints become linear matrix inequalities when a few variables are fixed. Finally, a turbofan engine model is employed to demonstrate the potential and effectiveness of the theoretical conclusions. (c) 2022 Elsevier Inc. All rights reserved.
引用
收藏
页码：75 / 85
页数：11
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