Bounded real criteria for linear time-delay systems

被引：60

作者：

Shaked, U ^{[1
]}

Yaesh, I

de Souza, CE

机构：

[1] Tel Aviv Univ, Dept Elect Engn Syst, IL-69978 Tel Aviv, Israel

[2] Israel Mil Ind, Adv Syst Div, Ramat Hasharon, Israel

[3] CNPq, LNCC, Lab Nacl Computacao Cient, Dept Syst & Control, Rio De Janeiro, Brazil

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1998年 / 43卷 / 07期

关键词：

bounded real lemma; H-infinity; time-delay systems;

D O I：

10.1109/9.701117

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 problem of finding the H-infinity-norm of a linear time-varying system having a delayed state and with an output that comprises a linear combination of the "current" state as well as of the "delayed" state. Both delay-independent and delay-dependent bounded real criteria are derived which provide sufficient conditions for the system to possess an H-infinity-norm which is less than or equal to a prescribed bound. The stationary case for time-invariant systems is also tackled, and in this situation the proposed bounded real criteria are given in terms of linear matrix inequalities. Two examples are presented which compare the guaranteed bounds that are achieved by our results with the actual H-infinity-norm of the system.

引用

页码：1016 / 1022

页数：7

共 17 条

[1]

Boyd S., 1994, LINEAR MATRIX INEQUA, V15

[2]

DESOUZA CE, 1995, P 3 IEEE MED S NEW D, V2, P1

[3] STATE-SPACE SOLUTIONS TO STANDARD H-2 AND H-INFINITY CONTROL-PROBLEMS [J].

DOYLE, JC ;

GLOVER, K ;

KHARGONEKAR, PP ;

FRANCIS, BA .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1989, 34 (08) :831-847

[4]

Green M., 2012, Linear Robust Control

[5]

Hale J. K., 1993, INTRO FUNCTIONAL DIF, DOI 10.1007/978-1-4612-4342-7

[6]

Kojima A, 1995, PROCEEDINGS OF THE 34TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, P4175, DOI 10.1109/CDC.1995.478799

[7]

LEE JH, 1994, IEEE T AUTOMAT CONTR, V39, P159, DOI 10.1109/9.273356

[8]

LI X, 1996, P 13 IFAC WORLD C SA, VH, P113

[9]

MALEKZAVAREI M, 1987, TIME DELAY SYSTEMS

[10]

Morari M., 1989, ROBUST PROCESS CONTR

← 1 2 →