Boundary Parameter and State Estimation in General Linear Hyperbolic PDEs

被引：5
|
作者：
Anfinsen, Henrik [1 ]
Diagne, Mamadon [2 ]
Aamo, Ole Morten [1 ]
Krstic, Miroslav [3 ]
机构：
[1] Norwegian Univ Sci & Technol, Dept Engn Cybernet, N-7491 Trondheim, Norway
[2] Univ Michigan, Dept Mech Engn, Ann Arbor, MI 48109 USA
[3] Univ Calif San Diego, Dept Mech & Aerosp Engn, La Jolla, CA 92093 USA
来源：
IFAC PAPERSONLINE | 2016年 / 49卷 / 08期
关键词：
Backstepping; Swapping design; Adaptive observer; FEEDBACK STABILIZATION; DISTURBANCE REJECTION; SYSTEMS; DOMAIN;
D O I：
10.1016/j.ifacol.2016.07.426
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We develop an adaptive observer that estimates boundary parameters and the system states in general heterodirectional linear systems of m+n coupled hyperbolic partial differential equations. The observer uses boundary sensing only, and is based on the swapping design, where filters are constructed that can be used to express the system states as linear static combinations of the unknown parameters and the filters states. Standard parameter identification laws can then be applied. Proof of boundedness of the estimates is offered, and sufficient conditions ensuring exponential convergence to their true values is derived. The theory is verified in a simulation. (C) 2016, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
引用
收藏
页码：104 / 110
页数：7
相关论文
共 50 条
  • [21] Model Reference Adaptive Control of 2 x 2 Coupled Linear Hyperbolic PDEs
    Anfinsen, Henrik
    Aamo, Ole Morten
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2018, 63 (08) : 2405 - 2420
  • [22] Adaptive boundary observer for parabolic PDEs subject to domain and boundary parameter uncertainties
    Ahmed-Ali, Tarek
    Giri, Fouad
    Krstic, Miroslav
    Bullion, Laurent
    Lamnabhi-Lagarrigue, Francoise
    AUTOMATICA, 2016, 72 : 115 - 122
  • [23] Adaptive State Feedback Stabilization of n+1 Coupled Linear Hyperbolic PDEs
    Anfinsen, Henrik
    Aamo, Ole Morten
    2017 25TH MEDITERRANEAN CONFERENCE ON CONTROL AND AUTOMATION (MED), 2017, : 901 - 908
  • [24] A Swapping Design Based Adaptive Observer for n+1 Coupled Linear Hyperbolic PDEs
    Anfinsen, Henrik
    Diagne, Mamadou
    Aamo, Ole Morten
    Krstic, Miroslav
    2016 AMERICAN CONTROL CONFERENCE (ACC), 2016, : 3449 - 3454
  • [25] Adaptive Disturbance Rejection in 2 x 2 Linear Hyperbolic PDEs
    Anfinsen, Henrik
    Aamo, Ole Morten
    2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2017,
  • [26] Robust output feedback stabilization for two heterodirectional linear coupled hyperbolic PDEs
    Auriol, Jean
    Di Meglio, Florent
    AUTOMATICA, 2020, 115
  • [27] Boundary optimal (LQ) control of coupled hyperbolic PDEs and ODEs
    Moghadam, Amir Alizadeh
    Aksikas, Ilyasse
    Dubljevic, Stevan
    Forbes, J. Fraser
    AUTOMATICA, 2013, 49 (02) : 526 - 533
  • [28] Trajectory tracking for a system of two linear hyperbolic PDEs with uncertainties
    Auriol, Jean
    Di Meglio, Florent
    IFAC PAPERSONLINE, 2017, 50 (01): : 7089 - 7095
  • [29] Model reference adaptive control of n+1 coupled linear hyperbolic PDEs
    Anfinsen, Henrik
    Aamo, Ole Morten
    SYSTEMS & CONTROL LETTERS, 2017, 109 : 1 - 11
  • [30] Delay-Robust Control Design for Two Heterodirectional Linear Coupled Hyperbolic PDEs
    Auriol, Jean
    Aarsnes, Ulf Jakob Flo
    Martin, Philippe
    Di Meglio, Florent
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2018, 63 (10) : 3551 - 3557
12345