On the strong observability in linear time-varying singular systems

被引：8
|
作者：
Hernandez, Debbie [1 ]
Javier Bejarano, Francisco [2 ]
Davila, Jorge [2 ]
Fridman, Leonid M. [1 ]
机构：
[1] Univ Nacl Autonoma Mexico, Dept Ingn Control & Robot, Div Ingn Elect, Fac Ingn, Mexico City, DF, Mexico
[2] UPT, Inst Politecn Nacl, Secc Estudios Posgrad & Invest, ESIME, Mexico City, DF, Mexico
来源：
AUTOMATICA | 2019年 / 101卷
关键词：
Robust estimation; Observability; Descriptor systems; Singular systems; Sliding mode; SLIDING-MODE OBSERVER; VALUE DECOMPOSITION; CONTROLLABILITY; DETECTABILITY; DESIGN;
D O I：
10.1016/j.automatica.2018.11.052
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 article the strong observability conditions, necessary and sufficient conditions originally stated for the state reconstruction of linear systems with unknown inputs, are extended to the class of linear time varying singular systems. This novel local (in a time interval of interest) conditions are given under a constant rank assumption. A method to reconstruct the state in finite time in linear time-varying singular systems despite the presence of unknown inputs is presented. The proposed observer consists of two parts, one part that ensures the asymptotic convergence of the estimation errors to a bounded region around the origin and another one that ensures the finite-time convergence of the state estimates to their actual values. (C) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码：60 / 65
页数：6
相关论文
共 50 条
  • [1] Controllability and observability of linear time-varying singular systems
    Wang, CJ
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (10) : 1901 - 1905
  • [2] Controllability and observability of linear time-varying singular systems
    Department of Electrical Engineering, Nan-Tai Institute of Technology, Yungkang, Tainan, 710, Taiwan
    IEEE Trans Autom Control, 10 (1901-1905):
  • [3] Strong Structural Controllability and Observability of Linear Time-Varying Systems
    Reissig, Gunther
    Hartung, Christoph
    Svaricek, Ferdinand
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (11) : 3087 - 3092
  • [4] Impulse observability and impulse controllability of linear time-varying singular systems
    Wang, CJ
    Liao, HE
    AUTOMATICA, 2001, 37 (11) : 1867 - 1872
  • [5] OBSERVABILITY OF LINEAR TIME-VARYING DESCRIPTOR SYSTEMS
    CAMPBELL, SL
    TERRELL, WJ
    SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1991, 12 (03) : 484 - 496
  • [6] On strong structural controllability and observability of linear time-varying systems: a constructive method
    Shaoyuan Li
    Jianbin Mu
    Yishi Wang
    Science China Information Sciences, 2019, 62
  • [7] On strong structural controllability and observability of linear time-varying systems: a constructive method
    Shaoyuan LI
    Jianbin MU
    Yishi WANG
    ScienceChina(InformationSciences), 2019, 62 (01) : 134 - 147
  • [8] On strong structural controllability and observability of linear time-varying systems: a constructive method
    Li, Shaoyuan
    Mu, Jianbin
    Wang, Yishi
    SCIENCE CHINA-INFORMATION SCIENCES, 2019, 62 (01)
  • [9] Quantitative Analysis of Observability in Linear Time-Varying Systems
    Shen, Kai
    Proletarsky, Andrey V.
    Neusypin, Konstantin A.
    PROCEEDINGS OF THE 35TH CHINESE CONTROL CONFERENCE 2016, 2016, : 44 - 49
  • [10] OBSERVABILITY OF LINEAR TIME-VARYING SYSTEMS WITH QUASIDERIVATIVE COEFFICIENTS
    Astrovskii, Anatoly, I
    Caishun, Ivan, V
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2019, 57 (03) : 1710 - 1729
12345