A Lyapunov approach to analysis of discrete singular systems

被引：34
|
作者：
Zhang, QL
Liu, WQ [1 ]
Hill, D
机构：
[1] Curtin Univ Technol, Sch Comp, Curtin, WA 6102, Australia
[2] Northeastern Univ, Coll Sci, Liaoning 110006, Peoples R China
[3] Univ Sydney, Sch Elect & Informat Engn, Sydney, NSW 6907, Australia
来源：
SYSTEMS & CONTROL LETTERS | 2002年 / 45卷 / 03期
关键词：
discrete-time singular systems; Lyapunov equation; stability; pole clustering;
D O I：
10.1016/S0167-6911(01)00184-0
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, a new type generalized Lyapunov equation for discrete singular systems is proposed. Then it is applied to study problems such as pole clustering, controllability and observability for discrete singular systems. First, some necessary and sufficient conditions for pole clustering are derived via the solution of this new type Lyapunov equation. Further, the relationship between the solution of the Lyapunov equation and structure properties of discrete singular systems will be investigated based on these results. Finally, a type of generalized Riccati equation is proposed and its solution is used to design state feedback law for discrete singular systems such that all the finite poles of the closed-loop systems are clustered into a specified disk. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：237 / 247
页数：11
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