Design of exponential observers for nonlinear systems by embedding

被引：26
|
作者：
Rapaport, A [1 ]
Maloum, A [1 ]
机构：
[1] INRA, LASB, F-34060 Montpellier, France
来源：
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2004年 / 14卷 / 03期
关键词：
nonlinear observability; embedding; Lipschitz continuation; exponential observer;
D O I：
10.1002/rnc.878
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
For nonlinear systems in R-n which are observable but not uniformly, we study how to design explicitly exponential observers, after having the system immersed in R-m with m > n. The central issue concerns the determination of a lipschitzian extension in R-m of the dynamics, which is defined exclusively on a subset of empty interior. We propose some constructive tools and illustrate their utility on a biological example. Copyright (C) 2004 John Wiley Sons, Ltd.
引用
收藏
页码：273 / 288
页数：16
相关论文
共 50 条
  • [1] Embedding for exponential observers of nonlinear systems
    Rapaport, A
    Maloum, A
    PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, : 802 - 803
  • [2] ON EXPONENTIAL OBSERVERS FOR NONLINEAR-SYSTEMS
    XIA, XH
    GAO, WB
    SYSTEMS & CONTROL LETTERS, 1988, 11 (04) : 319 - 325
  • [3] EXPONENTIAL OBSERVERS FOR NONLINEAR-SYSTEMS
    DEZA, F
    BOSSANNE, D
    BUSVELLE, E
    GAUTHIER, JP
    RAKOTOPARA, D
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1993, 38 (03) : 482 - 484
  • [4] EXPONENTIAL OBSERVERS FOR NONLINEAR DYNAMIC-SYSTEMS
    KOU, SR
    ELLIOTT, DL
    TARN, TJ
    INFORMATION AND CONTROL, 1975, 29 (03): : 204 - 216
  • [5] Global exponential observers for two classes of nonlinear systems
    Karafyllis, Iasson
    Kravaris, Costas
    SYSTEMS & CONTROL LETTERS, 2012, 61 (07) : 797 - 806
  • [6] Observers design for lipschitz nonlinear systems
    Zhou, S.W.
    Zhang, J.
    Hunan Daxue Xuebao/Journal of Hunan University Natural Sciences, 2001, 28 (02):
  • [7] On the Design of Distributed Observers for Nonlinear Systems
    Wu, Yuanqing
    Isidori, Alberto
    Lu, Renquan
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2022, 67 (07) : 3229 - 3242
  • [8] Exponential Observers for Nonlinear Oscillators
    Vaidyanathan, Sundarapandian
    Madhavan, Kavitha
    2013 INTERNATIONAL CONFERENCE ON GREEN COMPUTING, COMMUNICATION AND CONSERVATION OF ENERGY (ICGCE), 2013, : 320 - 324
  • [9] Dissipative design of observers for multivalued nonlinear systems
    Rabi, M.
    Moustakides, G. V.
    Baras, J. S.
    PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, : 5400 - 5405
  • [10] Numerical design of Luenberger observers for nonlinear systems
    Ramos, Louise da C.
    Di Meglio, Florent
    Morgenthaler, Valery
    Figueira da Silva, Luis F.
    Bernard, Pauline
    2020 59TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2020, : 5435 - 5442
12345