Delay-dependent robust H∞ control for uncertain stochastic time-delay systems

被引：44

作者：

Yang, Rongni ^{[1
]}

Gao, Huijun ^{[1
]}

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

机构：

[1] Harbin Inst Technol, Space Control & Inertial Technol Res Ctr, Harbin 150001, 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, Adelaide, SA 5001, Australia

来源：

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2010年 / 20卷 / 16期

基金：

中国国家自然科学基金; 英国工程与自然科学研究理事会;

关键词：

stochastic systems; time delay; uncertainties; H-infinity control; delay partitioning; Lyapunov-Krasovskii functional; NEURAL-NETWORKS; STABILITY; STABILIZATION; CRITERION;

D O I：

10.1002/rnc.1552

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 investigates the robust H-infinity control problem for stochastic systems with a delay in the state. Sufficient delay-dependent conditions for the existence of state-feedback controllers are proposed to guarantee mean-square asymptotic stability as well as the prescribed H-infinity performance for the closed-loop systems. Moreover, the results are further extended to the stochastic time-delay systems with parameter uncertainties, which are assumed to be time-varying norm-bounded appearing in both the state and the input matrices. The appealing idea is to partition the delay, which differs greatly from the most existing results and reduces conservatism by thinning the delay partitioning. Numerical examples are provided to show the advantages of the proposed techniques. Copyright (C) 2009 John Wiley & Sons, Ltd.

引用

下载

页码：1852 / 1865

页数：14

共 50 条

[41] ROBUST DELAY-DEPENDENT H∞ CONTROL DESIGN FOR UNCERTAIN TAKAGI-SUGENO TIME-DELAY SYSTEMS
Coskun, Serdar
SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, 2020, 38 (03): : 1351 - 1368
[42] Delay-dependent robust output-feedback control for time-delay uncertain systems
Esfahani, SH
Proceedings of the 25th IASTED International Conference on Modelling, Identification, and Control, 2006, : 191 - 196
[43] Comments and remarks on "On improved delay-dependent robust control for uncertain time-delay systems"
Han, Qing-Long
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2006, 51 (10) : 1726 - 1728
[44] Delay-dependent Robust Control for Uncertain Singular Systems with Time-delay: A New Method
Lan, Qixun
Niu, Huawei
2010 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-5, 2010, : 745 - 750
[45] Robust delay-dependent stabilization of uncertain time-delay systems by variable structure control
Jafarov, Elbrous M.
2008 INTERNATIONAL WORKSHOP ON VARIABLE STRUCTURE SYSTEMS, 2008, : 250 - 255
[46] New design approach of delay-dependent robust stabilizing control for a class of uncertain time-delay stochastic systems
Department of Mathematics and Physics, The Hunan Institute of Engineering, Xiantan 411101, China
不详
不详
Kong Zhi Li Lun Yu Ying Yong, 2008, 4 (749-752):
[47] Delay-Dependent Robust H∞ Control for Time-Delay Systems with Polytopic Uncertainty
Sun, Man
Ni, Suhong
Ma, Haiping
PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 280 - 284
[48] Delay-Dependent Stochastic Stability and H∞-Control of Uncertain Neutral Stochastic Systems With Time Delay
Chen, Wu-Hua
Zheng, Wei Xing
Shen, Yanjun
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (07) : 1660 - 1667
[49] Delay-dependent H∞ feedback control for linear discrete uncertain time-delay systems
Li, Yanbo
Gao, Cunchen
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 493 - 497
[50] Delay-dependent robust H∞ control for uncertain systems with time-varying delay
Peng, Chen
Tian, Yu-Chu
INFORMATION SCIENCES, 2009, 179 (18) : 3187 - 3197

← 1 2 3 4 5 →