Stability Analysis of Aperiodic Sampled-Data Systems: A Switched Polytopic System Method

被引：29
作者：
Sun, Jian [1 ,2 ]
Chen, Guoliang [1 ,2 ]
Chen, Jie [1 ,2 ]
机构：
[1] Beijing Inst Technol, Sch Automat, Beijing 100081, Peoples R China
[2] Beijing Inst Technol, Key Lab Intelligent Control & Decis Complex Syst, Beijing 100081, Peoples R China
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2020年 / 67卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Switches; Stability criteria; Sampled data systems; Circuit stability; Numerical stability; Lyapunov methods; Aperiodic sampled-data system; discrete-time switched polytopic system; time-scheduled switched homogeneous Lyapunov function; stability; STABILIZATION; INEQUALITY;
D O I：
10.1109/TCSII.2019.2924988
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
Stability of aperiodic sampled-data systems is investigated in this brief. A sampling interval discretization method is proposed to transform an aperiodic sampled-data system into a discrete-time switched polytopic system with help of the convex approximation technique. Using a high order time-scheduled switched homogeneous Lyapunov function (TSSHLF), a necessary and sufficient stability condition for the discrete-time switched polytopic system is proposed and presented in terms of linear matrix inequality (LMI). On the basis of this result, a sufficient stability criterion for the aperiodic sampled-data system is obtained. Finally, numerical examples are given to confirm the effectiveness of the proposed method and significant improvements over some existing ones.
引用
收藏
页码：1054 / 1058
页数：5
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