Quadratic stability and stabilization of uncertain linear discrete-time systems with state delay

被引：158

作者：

Xu, SY

Lam, J

Yang, CW

机构：

[1] Nanjing Univ Sci & Technol, Sch Power Engn, Div 810, Nanjing 210094, Peoples R China

[2] Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China

来源：

SYSTEMS & CONTROL LETTERS | 2001年 / 43卷 / 02期

关键词：

quadratic stability; quadratic stabilizability; uncertain linear discrete-time systems; state delay; state feedback;

D O I：

10.1016/S0167-6911(00)00113-4

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 deals with the problem of quadratic stability analysis and quadratic stabilization for uncertain linear discrete-time systems with state delay. The system under consideration involves state time delay and time-varying norm-bounded parameter uncertainties appearing in all the matrices of the state-space model. Necessary and sufficient conditions for quadratic stability and quadratic stabilization are presented in terms of certain matrix inequalities, respectively. A robustly stabilizing state feedback controller can be constructed by using the corresponding feasible solution of the matrix inequalities. Two examples are presented to demonstrate the effectiveness of the proposed approach. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：77 / 84

页数：8

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