Disturbance decoupling for descriptor systems by state feedback

被引：27
|
作者：
Chu, DL
Mehrmann, V
机构：
[1] Natl Univ Singapore, Dept Math, Singapore 119260, Singapore
[2] TU Chemnitz, Fak Math, D-09107 Chemnitz, Germany
来源：
SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2000年 / 38卷 / 06期
关键词：
descriptor system; state feedback; disturbance decoupling; stability; orthogonal matrix transformation;
D O I：
10.1137/S0363012900331891
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We study the disturbance decoupling problem for linear time invariant descriptor systems. We give necessary and sufficient conditions for the existence of a solution to the disturbance decoupling problem with or without stability via a proportional and/or derivative feedback that also makes the resulting closed-loop system regular and/or of index at most one. All results are proved constructively based on condensed forms that can be computed using orthogonal matrix transformations, i.e., transformations that can be implemented in a numerically stable way.
引用
收藏
页码：1830 / 1858
页数：29
相关论文
共 50 条
  • [1] ON DISTURBANCE DECOUPLING IN DESCRIPTOR SYSTEMS
    FLETCHER, LR
    AASARAAI, A
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1989, 27 (06) : 1319 - 1332
  • [2] Strong decoupling of descriptor systems via proportional state feedback
    Liu, XP
    Kucera, V
    [J]. KYBERNETIKA, 1997, 33 (04) : 371 - 386
  • [3] Disturbance decoupling by state feedback for uncertain impulsive linear systems
    Conte, Giuseppe
    Perdon, Anna Maria
    Otsuka, Naohisa
    Zattoni, Elena
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2021, 31 (10) : 4729 - 4743
  • [4] Disturbance decoupling in descriptor systems via output feedback - A parametric eigenstructure assignment approach
    Duan, GR
    Liu, GP
    Thompson, S
    [J]. PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, : 3660 - 3665
  • [5] Disturbance Decoupling Observers for Descriptor Distributed Parameter Systems
    Li Kai
    Liu Pei
    [J]. 2014 33RD CHINESE CONTROL CONFERENCE (CCC), 2014, : 2701 - 2704
  • [6] Disturbance Decoupling via State Feedback for Uncertain Switched Linear Systems
    Otsuka, N.
    Saito, H.
    Conte, G.
    Perdon, A. M.
    [J]. 2013 IEEE 52ND ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2013, : 5333 - 5338
  • [7] Disturbance Rejection for Linear Descriptor Systems Using Dual State Feedback Controllers
    Deutscher, Joachim
    [J]. AT-AUTOMATISIERUNGSTECHNIK, 2012, 60 (03) : 134 - 143
  • [8] Output feedback disturbance decoupling in nonlinear systems
    Andiarti, R
    Moog, CH
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1996, 41 (11) : 1683 - 1689
  • [9] Solution of the Almost Disturbance Decoupling Problem by State Feedback
    Zou, Runmin
    Malabre, Michel
    [J]. PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE, 2012, : 273 - 278
  • [10] Disturbance decoupling by state feedback and PD control law for systems with direct feedthrough matrices
    Ntogramatzidis, Lorenzo
    [J]. PROCEEDINGS OF THE 46TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2007, : 2437 - 2441
12345