Reduced-Order H∞ Filters for Uncertain 2-D Continuous Systems, Via LMIs and Polynomial Matrices

被引：0
|
作者：
Chakir El-Kasri
Abdelaziz Hmamed
Fernando Tadeo
机构：
[1] LESSI,Department of Physics, Faculty of Sciences Dhar El Mehraz
[2] University of Valladolid,Department of Systems Engineering and Automatic Control
来源：
Circuits, Systems, and Signal Processing | 2014年 / 33卷
关键词：
2-D Continuous systems; Uncertain systems; filtering; Linear matrix inequality (LMI);
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper deals with designing H∞ filters of reduced order for two dimensional (2-D) continuous systems described by Roesser models, with uncertain state space matrices. These filters are characterized in terms of linear matrix inequalities (LMI), to minimize a bound on the H∞ noise attenuation, by using homogeneous polynomially parameter-dependent matrices of arbitrary degree. The methodology is also particularized for full order and zero order (static) filters, where more simple LMI conditions are derived. Numerical examples are presented to illustrate the proposed methodology.
引用
收藏
页码：1189 / 1214
页数：25
相关论文
共 50 条
  • [1] Reduced-Order H∞ Filters for Uncertain 2-D Continuous Systems, Via LMIs and Polynomial Matrices
    El-Kasri, Chakir
    Hmamed, Abdelaziz
    Tadeo, Fernando
    [J]. CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2014, 33 (04) : 1189 - 1214
  • [2] H∞ reduced-order approximation of 2-D digital filters
    Du, CL
    Xie, LH
    Soh, YC
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2001, 48 (06): : 688 - 698
  • [3] Robust Reduced-order H∞ Filter Design for Uncertain 2-D Continuous Systems with Time-varying Delays
    El-Kasri, C.
    Hmamed, A.
    [J]. 2013 3D INTERNATIONAL CONFERENCE ON SYSTEMS AND CONTROL (ICSC), 2013,
  • [4] H∞ control synthesis via reduced-order LMIs
    Yu, J
    Sideris, A
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 1998, 70 (01) : 85 - 101
  • [5] Robust H2 and H∞ filter design for uncertain linear systems via LMIs and polynomial matrices
    Lacerda, Marcio J.
    Oliveira, Ricardo C. L. F.
    Peres, Pedro L. D.
    [J]. SIGNAL PROCESSING, 2011, 91 (05) : 1115 - 1122
  • [6] Reduced-Order H∞ Filtering for 2-D Singular Roesser Models
    Xu Huiling
    Zou Yun
    [J]. Proceedings of the 27th Chinese Control Conference, Vol 7, 2008, : 772 - 776
  • [7] Robust H∞ filtering for uncertain 2-D continuous systems
    Xu, SY
    Lam, J
    Zou, Y
    Lin, ZP
    Paszke, W
    [J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2005, 53 (05) : 1731 - 1738
  • [8] Robust H2 Filter Design for Polytopic Linear Systems via LMIs and Polynomial Matrices
    Lacerda, Marcio J.
    de Oliveira, Ricardo C. L. F.
    Peres, Pedro L. D.
    [J]. 49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2010, : 1466 - 1471
  • [9] LMI Relaxations for Reduced-Order Robust H∞ Control of Continuous-Time Uncertain Linear Systems
    Agulhari, Cristiano M.
    Oliveira, Ricardo C. L. F.
    Peres, Pedro L. D.
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2012, 57 (06) : 1532 - 1537
  • [10] A simple design method of H∞ reduced-order filters for stochastic systems
    Duan, Zhisheng
    Zhang, Jingxin
    Zhang, Cishen
    Mosca, Edoardo
    [J]. 2006 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOLS 1-11, PROCEEDINGS, 2006, : 2497 - 2500
12345