A Parametric Method of Linear Functional Observers for Linear Time-varying Systems

被引：0
|
作者：
Da-Ke Gu
Long-Wen Liu
Guang-Ren Duan
机构：
[1] Northeast Electric Power University,School of Automation Engineering
[2] Harbin Institute of Technology,Center for Control Theory and Guidance Technology
来源：
International Journal of Control, Automation and Systems | 2019年 / 17卷
关键词：
Functional observers; parametric method; sylverster equation; time-varying systems;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper considers the design of a Luenberger observer to estimate the linear multiple states functional for linear time-varying (LTV) systems. Based on the solutions to a type of full actuated homogeneous generalized Sylvester matrix equations and the conditions for the existence of observers for LTV systems, general parametric solutions to Luenberger functional observers are established. With the proposed approach, the functional observers can be achieved at desired convergence rate of the observation error, and also without any particular transformation for LTV systems. Finally, a numerical example shows the feasibility and effectiveness of the proposed parametric design method for the functional observers in LTV systems.
引用
收藏
页码：647 / 656
页数：9
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
    [J]. INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2019, 17 (03) : 647 - 656
  • [2] On Functional Observers for Linear Time-Varying Systems
    Rotella, Frederic
    Zambettakis, Irene
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2013, 58 (05) : 1354 - 1360
  • [3] Observers for linear time-varying systems
    Trumpf, Jochen
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2007, 425 (2-3) : 303 - 312
  • [4] Linear Function Observers for Linear Time-Varying Systems With Time-Delay: A Parametric Approach
    Gu, Da-Ke
    Liu, Quan-Zhi
    Yang, Jun
    [J]. IEEE ACCESS, 2020, 8 : 19398 - 19405
  • [5] Parametric design of reduced-order functional observers for linear time-varying delay systems
    Gu, Da-Ke
    Wang, Shuo
    Liu, Quan-Zhi
    Zhao, Jun
    [J]. MEASUREMENT & CONTROL, 2022, 55 (7-8): : 795 - 806
  • [6] Observers design for linear time-varying systems
    Boutayeb, M
    Darouach, M
    [J]. PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, : 3183 - 3187
  • [7] A parametric approach to design interval observers for linear systems with time-varying disturbances
    Liu, Long-Wen
    Gu, Da-Ke
    Liu, Yin-Dong
    Zhang, Qi-Rui
    [J]. 2018 37TH CHINESE CONTROL CONFERENCE (CCC), 2018, : 55 - 60
  • [8] Strong* detectability and observers for linear time-varying systems
    Tranninger, Markus
    Seeber, Richard
    Rueda-Escobedo, Juan G.
    Horn, Martin
    [J]. SYSTEMS & CONTROL LETTERS, 2022, 170
  • [9] DESIGN OF SINGLE-FUNCTIONAL OBSERVERS FOR LINEAR TIME-VARYING MULTIVARIABLE SYSTEMS
    SHAFAI, B
    [J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1989, 20 (11) : 2227 - 2239
  • [10] DESIGN OF OBSERVERS FOR NON-LINEAR TIME-VARYING SYSTEMS
    YAZ, EG
    [J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1988, 19 (04) : 583 - 587
12345