On Functional Observers for Linear Time-Varying Systems

被引:28
|
作者
Rotella, Frederic [1 ]
Zambettakis, Irene [1 ]
机构
[1] Ecole Natl Ingenieurs Tarbes, Lab Genie Prod, F-65016 Tarbes, France
关键词
Functional observer; linear time-varying system; Luenberger observer; MULTIVARIABLE SYSTEMS; DESIGN; ORDER; STATE;
D O I
10.1109/TAC.2012.2225571
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The technical note deals with existence conditions of a functional observer for linear time-varying systems in the case where the order of the observer is equal to the number of observed variables. Constructive procedures for the design of such a linear functional observer are deduced from the existence conditions. As a specific feature, the proposed procedures do not require the solution of a differential Sylvester equation. Some examples illustrate the presented results.
引用
收藏
页码:1354 / 1360
页数:8
相关论文
共 50 条
  • [1] A Parametric Method of Linear Functional Observers for Linear Time-varying Systems
    Gu, Da-Ke
    Liu, Long-Wen
    Duan, Guang-Ren
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2019, 17 (03) : 647 - 656
  • [2] Strong* detectability and observers for linear time-varying systems
    Tranninger, Markus
    Seeber, Richard
    Rueda-Escobedo, Juan G.
    Horn, Martin
    SYSTEMS & CONTROL LETTERS, 2022, 170
  • [3] Parametric design of reduced-order functional observers for linear time-varying delay systems
    Gu, Da-Ke
    Wang, Shuo
    Liu, Quan-Zhi
    Zhao, Jun
    MEASUREMENT & CONTROL, 2022, 55 (7-8) : 795 - 806
  • [4] Linear Function Observers for Linear Time-Varying Systems With Time-Delay: A Parametric Approach
    Gu, Da-Ke
    Liu, Quan-Zhi
    Yang, Jun
    IEEE ACCESS, 2020, 8 : 19398 - 19405
  • [5] FUNCTIONAL OBSERVERS DESIGN FOR NONLINEAR DISCRETE-TIME SYSTEMS WITH INTERVAL TIME-VARYING DELAYS
    Dong, Yali
    Chen, Laijun
    Me, Shengwei
    KYBERNETIKA, 2019, 55 (02) : 367 - 384
  • [6] Sufficient conditions on the existence of switching observers for nonlinear time-varying systems
    Boskos, D.
    Tsinias, J.
    EUROPEAN JOURNAL OF CONTROL, 2013, 19 (02) : 87 - 103
  • [7] Multicriteria Adaptive Observers for Singular Systems with Unknown Time-Varying Parameters
    Kwon, Wookyong
    Ban, Jaepil
    Han, Soohee
    Lee, Chong Soo
    Won, Sangchul
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2017, 2017 : 1 - 10
  • [8] Reset observers for linear time-varying delay systems: Delay-dependent approach
    Zhao, Guanglei
    Wang, Jingcheng
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2014, 351 (11): : 5133 - 5147
  • [9] Functional observer design using the direct method for discrete time-varying linear systems
    Hamdoun, Meriem
    Ben Abdallah, Mohamed
    Ayadi, Mounir
    Rotella, Frederic
    Zambettakis, Irene
    PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING, 2022, 236 (06) : 1087 - 1096
  • [10] Stabilizability of linear time-varying systems
    Anderson, Brian D. O.
    Ilchmann, Achim
    Wirth, Fabian R.
    SYSTEMS & CONTROL LETTERS, 2013, 62 (09) : 747 - 755