Reduced order observer design for discrete-time nonlinear systems

被引:10
|
作者
Sundarapandian, V. [1 ]
机构
[1] SRM Inst Sci & Technol, SRM Nagar, Dept Instrumentat & Control Engn, Kattankulathur 603203, Tamil Nadu, India
关键词
reduced order observers; exponential observers; nonlinear observers; discrete-time nonlinear systems;
D O I
10.1016/j.aml.2005.04.019
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This work is a geometric study of reduced order observer design for discrete-time nonlinear systems. Our reduced order observer design is applicable for Lyapunov stable discrete-time nonlinear systems with a linear output equation and is a generalization of Luenberger's reduced order observer design for linear systems. We establish the error convergence for the reduced order estimator for discrete-time nonlinear systems using the center manifold theory for maps. We illustrate our reduced order observer construction for discrete-time nonlinear systems with an example. (C) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1013 / 1018
页数:6
相关论文
共 50 条
  • [31] AN ADAPTIVE OBSERVER DESIGN APPROACH FOR A CLASS OF DISCRETE-TIME NONLINEAR SYSTEMS
    Srinivasarengan, Krishnan
    Ragot, Jose
    Aubrun, Christophe
    Maquin, Didier
    [J]. INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2018, 28 (01) : 55 - 67
  • [32] DISCRETE-TIME REDUCED ORDER NEURAL OBSERVERS FOR UNCERTAIN NONLINEAR SYSTEMS
    Alanis, Alma Y.
    Sanchez, Edgar N.
    Ricalde, Luis J.
    [J]. INTERNATIONAL JOURNAL OF NEURAL SYSTEMS, 2010, 20 (01) : 29 - 38
  • [33] Reduced order observer design for nonlinear systems
    Sundarapandian, V.
    [J]. APPLIED MATHEMATICS LETTERS, 2006, 19 (09) : 936 - 941
  • [34] Discrete-time nonlinear observer design with general criteria
    Yaz, Edwin Engin
    Jeong, Chung Seop
    Bahakeem, Adil
    Yaz, Yvonne Ilke
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2007, 344 (06): : 918 - 928
  • [35] Robust observer design for Lipschitz nonlinear discrete-time systems with time-delay
    Lu, Guoping
    [J]. 2006 9TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION, ROBOTICS AND VISION, VOLS 1- 5, 2006, : 991 - 995
  • [36] Observer design for discrete-time switching nonlinear models
    Department of Automation, Technical University of Cluj-Napoca, Memorandumului 28, Cluj-Napoca
    400114, Romania
    不详
    59313, France
    [J]. Lect. Notes Control Inf. Sci, (27-58): : 27 - 58
  • [37] A reduced-order state observer for large-scale discrete-time systems
    Dept. of Elec. and Comp. Engineering, James Cook Univ. of North Queensland, Townsville, QLD 4811, Australia
    不详
    [J]. Comput Electr Eng, 5 (301-309):
  • [38] A reduced-order state observer for large-scale discrete-time systems
    Trinh, H
    Aldeen, M
    [J]. COMPUTERS & ELECTRICAL ENGINEERING, 1997, 23 (05) : 301 - 309
  • [39] Observer construction for nonlinear discrete-time systems with inputs
    Xiao, MingQing
    [J]. 2007 IEEE INTERNATIONAL CONFERENCE ON CONTROL AND AUTOMATION, VOLS 1-7, 2007, : 2920 - 2923
  • [40] Observer design for nonlinear discrete-time systems: Immersion and dynamic observer error linearization techniques
    Zhang, Jian
    Feng, Gang
    Xu, Hongbing
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2010, 20 (05) : 504 - 514