Controllability and quadratic stability quadratic stabilization of discrete-time interval systems - an LMI approach

被引：8

作者：

Zhang, Da-Qing ^{[1
]}

Zhang, Qing-Ling

Chen, Yue-Peng

机构：

[1] Northeastern Univ, Inst Syst Sci, Shenyang 110004, Liaoning, Peoples R China

[2] Anshan Univ Sci & Technol, Coll Sci, Anshan 114044, Liaoning, Peoples R China

[3] Northeastern Univ, Inst Syst Sci, Shenyang 110004, Liaoning, Peoples R China

来源：

IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION | 2006年 / 23卷 / 04期

关键词：

discrete interval systems; quadratic stability; quadratic stabilization; controllability; observability; linear matrix inequality (LMI);

D O I：

10.1093/imamci/dni070

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 presents necessary and sufficient conditions for discrete-time interval systems to be quadratically stable or quadratically stabilizable, and sufficient conditions for discrete-time interval systems to be controllable. All the results are obtained in terms of linear matrix inequality (LMI). With the LMI toolbox, the problems can be conveniently solved. Illustrative numerical examples show that the results are effective and less conservative to check the robust controllability and stability and to design the stabilizing controller for discrete-time interval systems.

引用

页码：413 / 431

页数：19

共 17 条

[1] STABILITY ROBUSTNESS OF INTERVAL MATRICES VIA LYAPUNOV QUADRATIC-FORMS
GAROFALO, F
CELENTANO, G
GLIELMO, L
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1993, 38 (02) : 281 - 284
[2] HAN HS, 1993, CONTR-THEOR ADV TECH, V9, P745
[3] He XQ, 2004, DYNAM CONT DIS SER B, V11, P165
[4] Hu SQ, 2000, IEEE T AUTOMAT CONTR, V45, P2106, DOI 10.1109/9.887635
[5] ROBUST STABILITY OF INTERVAL MATRICES
MANSOUR, M
[J]. PROCEEDINGS OF THE 28TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-3, 1989, : 46 - 51
[6] Quadratic stability and stabilization of dynamic interval systems
Mao, WJ
Chu, J
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (06) : 1007 - 1012
[7] PADMANABHAN P, 1993, PROCEEDINGS OF THE 32ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, P2010, DOI 10.1109/CDC.1993.325548
[8] Necessary and sufficient conditions for componentwise stability of interval matrix systems
Pastravanu, O
Voicu, M
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (06) : 1016 - 1021
[9] A STABILIZATION ALGORITHM FOR A CLASS OF UNCERTAIN LINEAR-SYSTEMS
PETERSEN, IR
[J]. SYSTEMS & CONTROL LETTERS, 1987, 8 (04) : 351 - 357
[10] A RICCATI EQUATION APPROACH TO THE STABILIZATION OF UNCERTAIN LINEAR-SYSTEMS
PETERSEN, IR
HOLLOT, CV
[J]. AUTOMATICA, 1986, 22 (04) : 397 - 411

← 1 2 →