Robust H∞ control for a class of 2-D discrete delayed systems

被引：8
作者：
Ye, Shuxia [1 ]
Li, Jianzhen [1 ]
Yao, Juan [2 ]
机构：
[1] Jiangsu Univ Sci & Technol, Sch Elect & Informat, Zhenjiang 212003, Peoples R China
[2] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China
来源：
ISA TRANSACTIONS | 2014年 / 53卷 / 05期
基金：
中国国家自然科学基金;
关键词：
2-D systems; Delayed perturbations; Robust H-infinity control; OUTPUT-FEEDBACK CONTROL; GUARANTEED COST CONTROL; LINEAR-SYSTEMS; STABILITY ANALYSIS; 2-DIMENSIONAL SYSTEMS; EXPONENTIAL STABILITY; NONLINEAR-SYSTEMS; LMI APPROACH; STABILIZATION;
D O I：
10.1016/j.isatra.2013.12.017
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we deal with the problem of robust H-infinity control for a class of 2-D discrete uncertain systems with delayed perturbations described by the Roesser state-space model (RM). The problem to be addressed is the design of robust controllers via state feedback such that the stability of the resulting closed-loop system is guaranteed and a prescribed H-infinity performance level is ensured for all delayed perturbations. By utilizing the Lyapunov method and some results, H-infinity controllers are given. The results are delay-dependent and can be expressed in terms of linear matrix inequalities (LMIs). Finally, some numerical examples are given to illustrate the effectiveness of the proposed results. (C) 2013 ISA. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：1456 / 1462
页数：7
相关论文
共 40 条
  • [1] Stability robustness of linear output feedback systems with both time-varying structured and unstructured parameter uncertainties as well as delayed perturbations
    Chen, SH
    Chou, JH
    Zheng, LA
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2005, 342 (02): : 213 - 234
  • [2] Stability analysis for 2-D systems with interval time-varying delays and saturation nonlinearities
    Chen, Shyh-Feng
    [J]. SIGNAL PROCESSING, 2010, 90 (07) : 2265 - 2275
  • [3] Asymptotical stability of 2-D linear discrete stochastic systems
    Cui, Jia-Rui
    Li, Qing
    Hu, Guang-Da
    Zhu, Qiao
    Zhang, Xiao-Bing
    [J]. DIGITAL SIGNAL PROCESSING, 2012, 22 (04) : 628 - 632
  • [4] An LMI approach to robust optimal guaranteed cost control of 2-D discrete systems described by the Roesser model
    Dhawan, Amit
    Kar, Haranath
    [J]. SIGNAL PROCESSING, 2010, 90 (09) : 2648 - 2654
  • [5] H∞ control and robust stabilization of two-dimensional systems in Roesser models
    Du, CL
    Xie, LH
    Zhang, CS
    [J]. AUTOMATICA, 2001, 37 (02) : 205 - 211
  • [6] Exact stability analysis of 2-D systems using LMIs
    Ebihara, Yoshio
    Ito, Yoshimichi
    Hagiwara, Tomomichi
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2006, 51 (09) : 1509 - 1513
  • [7] Stability and stabilization of uncertain 2-D discrete systems with Stochastic perturbation
    Gao, HJ
    Lam, J
    Xu, SY
    Wang, CH
    [J]. MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 2005, 16 (01) : 85 - 106
  • [8] Robust optimal guaranteed cost control for 2D discrete systems
    Guan, X
    Long, C
    Duan, G
    [J]. IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2001, 148 (05): : 355 - 361
  • [9] Improved delay time estimation of RC ladder networks
    Hou, CH
    Gao, FR
    Qian, JX
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2000, 47 (02): : 242 - 246
  • [10] Izuta G, 2005, 2005 INTERNATIONAL CONFERENCE ON CONTROL AND AUTOMATION (ICCA), VOLS 1 AND 2, P224
1234