Boundary Observer Design for Coupled ODEs-Hyperbolic PDEs Systems

被引：0
|
作者：
Ferrante, Francesco [1 ]
Cristofaro, Andrea [2 ]
机构：
[1] Univ Grenoble Alpes, CNRS, Grenoble INP, GIPSA Lab, F-38000 Grenoble, France
[2] Univ Oslo, Dept Technol Syst, N-2007 Kjeller, Norway
来源：
2019 18TH EUROPEAN CONTROL CONFERENCE (ECC) | 2019年
关键词：
FLOW; STABILIZATION;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Boundary observer design of a system of n(chi)-ODEs coupled to n(x)-hyperbolic PDEs with positive convective speeds is studied. An infinite dimensional observer is used to solve the considered state estimation problem. The interconnection of the observer and the system is written in estimation error coordinates and analyzed as an abstract dynamical system on a specific Hilbert space. The design of the observer is performed to achieve global exponential stability of the estimation error with respect to a suitable norm. Sufficient conditions in the form matrix inequalities are given for the design of the observer. The effectiveness of the approach is shown in a numerical example.
引用
收藏
页码：2418 / 2423
页数：6
相关论文
共 50 条
  • [1] Adaptive Boundary Observer Design for coupled ODEs-Hyperbolic PDEs systems
    Ghousein, Mohammad
    Witrant, Emmanuel
    IFAC PAPERSONLINE, 2020, 53 (02): : 7605 - 7610
  • [2] Adaptive observer design for uncertain hyperbolic PDEs coupled with uncertain LTV ODEs; Application to refrigeration systems
    Ghousein, Mohammad
    Witrant, Emmanuel
    AUTOMATICA, 2023, 154
  • [3] 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
  • [4] Observer design for 2 x 2 linear hyperbolic PDEs that are bidirectionally coupled with nonlinear ODEs
    Irscheid, Abdurrahman
    Gehring, Nicole
    Deutscher, Joachim
    Rudolph, Joachim
    2021 EUROPEAN CONTROL CONFERENCE (ECC), 2021, : 2506 - 2511
  • [5] Model Predictive Control of Coupled Hyperbolic PDEs and ODEs
    Xu, Qingqing
    Dubljevic, Stevan
    2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC), 2016, : 4815 - 4820
  • [6] Output regulation for general heterodirectional linear hyperbolic PDEs coupled with nonlinear ODEs
    Irscheid, Abdurrahman
    Deutscher, Joachim
    Gehring, Nicole
    Rudolph, Joachim
    AUTOMATICA, 2023, 148
  • [7] Observability and observer design for a class of hyperbolic PDEs with van de Pol type boundary conditions
    Xiang, Qiaomin
    Wu, Ze-Hao
    Deng, Feiqi
    Wu, Chufen
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2023, 127
  • [8] 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
  • [9] Boundary Observer Design for Hyperbolic PDE in rotary drilling systems
    Toumi, Samir
    Beji, Lotfi
    Mlayeh, Rhouma
    Abichou, Azgal
    2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC), 2016, : 2128 - 2133
  • [10] An Adaptive Observer Design for n+1 Coupled Linear Hyperbolic PDEs Based on Swapping
    Anfinsen, Henrik
    Diagne, Mamadou
    Aamo, Ole Morten
    Krstic, Miroslav
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2016, 61 (12) : 3979 - 3990
12345