A novel approach on stabilization for linear systems with time-varying input delay

被引：87

作者：

Liu, Yun ^{[1
]}

Hu, Li-Sheng ^{[1
]}

Shi, Peng ^{[2
,3
,4
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200240, Peoples R China

[2] Univ Glamorgan, Fac Adv Technol, Pontypridd CF37 1DL, M Glam, Wales

[3] Victoria Univ, Sch Sci & Engn, Melbourne, Vic 8001, Australia

[4] Univ S Australia, Sch Math & Stat, Mawson Lakes, SA 5095, Australia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 10期

关键词：

Linear systems; Stability and stabilization; Time-delays; DEPENDENT STABILITY; STATE;

D O I：

10.1016/j.amc.2011.11.056

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents new results on delay-dependent stability and stabilization for linear systems with interval time-varying delays. Some less conservative delay-dependent criteria for determining the stability of the time-delay systems are obtained in this paper. Based on the stability conditions, we propose a new state transformation technology to facilitate controller designing efficiently and computationally. The method is also applicable to the existing stability conditions reported by now, while the existing technologies may fail to derive computational control procedures from the stability conditions. Finally, some numerical examples well illustrate the effectiveness of the proposed method. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：5937 / 5947

页数：11

共 50 条

[1] Complete LKF approach to stabilization for linear systems with time-varying input delay
Zhang, Ziye
Lin, Chong
Chen, Bing
[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2015, 352 (06): : 2425 - 2440
[2] A Truncated Prediction Approach to Stabilization of Linear Systems with Long Time-Varying Input Delay
Zhou, Bin
Lin, Zongli
Duan, Guang-Ren
[J]. 2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC), 2011, : 4146 - 4151
[3] New Stabilization Method for Linear Systems with Time-varying Input Delay
Liu, Yun
Hu, Li-Sheng
[J]. 2011 AMERICAN CONTROL CONFERENCE, 2011, : 4878 - 4883
[4] Delay feedback control in exponential stabilization of linear time-varying systems with input delay
Hien, L. V.
Phat, V. N.
[J]. IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2009, 26 (02) : 163 - 177
[5] Robust stabilization of linear discrete-time systems with time-varying input delay
Gonzalez, Antonio
[J]. AUTOMATICA, 2013, 49 (09) : 2919 - 2922
[6] Novel stabilization technique for the H∞ control of systems with time-varying input delay
Figueredo, Luis F. C.
Cavalcanti, Felipe B.
Ishihara, Joao Y.
Borges, Geovany A.
Bauchspiess, Adolfo
[J]. 2013 AMERICAN CONTROL CONFERENCE (ACC), 2013, : 1739 - 1744
[7] Interval Observer Approach to Output Stabilization of Time-Varying Input Delay Systems
Polyakov, Andrey
Efimov, Denis
Perruquetti, Wilfrid
Richard, Jean-Pierre
[J]. 2013 EUROPEAN CONTROL CONFERENCE (ECC), 2013, : 4412 - 4417
[8] STABILIZATION OF LINEAR-SYSTEMS WITH TIME-VARYING DELAY
IKEDA, M
ASHIDA, T
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1979, 24 (02) : 369 - 370
[9] STABILIZATION ON INPUT TIME-VARYING DELAY FOR LINEAR SWITCHED SYSTEMS WITH TRUNCATED PREDICTOR CONTROL
Sakthi, K. Aruna
Vinodkumar, A.
[J]. NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION, 2020, 10 (02): : 237 - 247
[10] Delay-dependent stabilization of linear systems with time-varying state and input delays
Zhang, XM
Wu, M
She, JH
He, Y
[J]. AUTOMATICA, 2005, 41 (08) : 1405 - 1412

← 1 2 3 4 5 →