New LMI approach to H ∞ control of discrete-time singular systems

被引：1

作者：

Chang, Xiao-Heng ^{[1
]}

Wang, Xiao-Yan ^{[2
]}

Hou, Li -Wei ^{[1
]}

机构：

[1] Bohai Univ, Coll Control Sci & Engn, Jinzhou 121013, Liaoning, Peoples R China

[2] Bohai Univ, Coll Math Sci, Jinzhou 121013, Liaoning, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2024年 / 474卷

关键词：

Discrete-time singular system; State feedback; Output feedback; H infinity control; Linear matrix inequality; BOUNDED REAL LEMMA; FEEDBACK; DESIGN;

D O I：

10.1016/j.amc.2024.128703

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article studies the problem of feedback 7i infinity control for discrete -time singular system. The objective is to design the controller to make the closed -loop system admissible and satisfy the specified 7i infinity performance. Firstly, the admissibility of the closed -loop system is analyzed via the Lyapunov function and linear matrix inequality (LMI) method, the admissibility condition of the singular system with 7i infinity performance is given. Then, applying a useful matrix inequality lemma, the controller design condition for discrete -time singular system is shown by a LMI. Specially, the benefit of the proposed design result is their less conservatism, the validity of the viewpoint is proposed by numeric illustrations.

引用

页数：10

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