H∞ Unbiased Filtering for Linear Descriptor Systems via LMI

被引：57
作者：
Darouach, M.
机构：
[1] CRAN-CNRS, UMR 7039, Nancy University
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2009年 / 54卷 / 08期
关键词：
Descriptor systems; existence conditions; full order; linear matrix inequality (LMI); minimal order; rectangular systems; reduced order; unknown input estimation; SINGULAR SYSTEMS; UNKNOWN INPUTS; STATE ESTIMATION; OBSERVERS; DESIGN;
D O I：
10.1109/TAC.2009.2023962
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 note concerns the optimal H-infinity unbiased filtering problem for linear descriptor systems. It unifies the design of reduced-order, minimal-order and full-order filters for continuous and discrete-time systems. Necessary and sufficient conditions for the solvability of the problem are obtained in terms of a set of linear matrix inequalities (LMIs). The parametrization of all H-infinity unbiased filters is presented. Application to standard systems with or without unknown inputs is given. A numerical example is given to show the applicability of the presented approach.
引用
收藏
页码：1966 / 1972
页数：7
相关论文
共 50 条
  • [31] H∞ Kalman Filtering for Rectangular Descriptor Systems with Unknown Inputs
    Hsieh, Chien-Shu
    2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC), 2011, : 2404 - 2409
  • [32] Controliability of linear descriptor systems
    Xie, GM
    Wang, L
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2003, 50 (03): : 455 - 460
  • [33] Robust filtering for uncertain linear discrete-time descriptor systems
    de Souza, Carlos E.
    Barbosa, Karina A.
    Fu, Minyue
    AUTOMATICA, 2008, 44 (03) : 792 - 798
  • [34] Dynamical robust H∞ filtering for nonlinear uncertain systems: An LMI approach
    Abbaszadeh, Masoud
    Marquez, Horacio J.
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2010, 347 (07): : 1227 - 1241
  • [35] On the SPRification of Linear Descriptor Systems via Output Feedback
    Corless, Martin
    Zeheb, Ezra
    Shorten, Robert
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2019, 64 (04) : 1535 - 1549
  • [36] Filtering and fault estimation of descriptor switched systems
    Koenig, Damien
    Marx, Benoit
    Varrier, Sebastien
    AUTOMATICA, 2016, 63 : 116 - 121
  • [37] Solution to Sylvester equation associated to linear descriptor systems
    Darouach, M.
    SYSTEMS & CONTROL LETTERS, 2006, 55 (10) : 835 - 838
  • [38] Finite-Time Boundedness Analysis of a Class of Linear Discrete Descriptor Systems: an LMI Approach
    Stojanovic, Sreten B.
    Debeljkovic, Dragutin Lj
    Nestorovic, Tamara N.
    Antic, Dragan S.
    2013 3D INTERNATIONAL CONFERENCE ON SYSTEMS AND CONTROL (ICSC), 2013,
  • [39] Robust Unbiased H∞ Filtering for Uncertain Two-dimensional Systems
    Xu, Huiling
    Lin, Zhiping
    Makur, Anamitra
    2012 12TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION, ROBOTICS & VISION (ICARCV), 2012, : 1296 - 1301
  • [40] Full Order H∞ Filtering for Linear Systems in the Frequency Domain
    Ezzine, Montassar
    Ali, Harouna Souley
    Darouach, Mohamed
    Messaoud, Hassani
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2011, 9 (03) : 558 - 565
12345