Robust Finite-Time Stabilization for Uncertain Discrete-Time Linear Singular Systems

被引：2

作者：

Wang, Jianxin ^{[1
]}

Wu, Hecheng ^{[1
]}

Ji, Xiaofu ^{[2
]}

Liu, Xuehua ^{[2
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, Coll Econ & Management, Nanjing 211106, Peoples R China

[2] Jiangnan Univ, Sch Internet Things Engn, Wuxi 214122, Jiangsu, Peoples R China

来源：

IEEE ACCESS | 2020年 / 8卷

关键词：

Linear matrix inequalities; Robustness; Stability criteria; Numerical stability; Power system stability; Uncertain systems; Uncertain linear singular system; discrete-time singular system; finite-time stability; finite-time stabilization; matrix inequality; H-INFINITY CONTROL; STABILITY; SUBJECT; DELAY;

D O I：

10.1109/ACCESS.2020.2998531

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper considers the robust finite-time stabilization problem for a class of discrete-time linear singular systems with norm-bounded parameter uncertainties. With the introduction of an additional matrix to describe the algebraic relationship between the slow subsystem and fast subsystem of a discrete-time linear singular system, a matrix inequality condition is first given for a discrete-time linear singular system to be regular, causal and finite-time stable. With this condition, the robust finite-time stability and robust finite-time stabilization problems are also resolved, and the explicit expression of the desired state feedback control law is also given in terms of a set of matrix inequalities. A numerical example is given to show the effectiveness of the proposed method.

引用

页码：100645 / 100651

页数：7

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