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作者:

Wu, Jiahao (Wu, Jiahao.) | Zhan, Jingyuan (Zhan, Jingyuan.) | Zhang, Liguo (Zhang, Liguo.) (学者:张利国)

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EI Scopus SCIE

摘要:

This article studies the problem of adaptive boundary observer design for a class of linear hyperbolic partial differential equations (PDEs) subject to in-domain and boundary parameter uncertainties. Based on the swapping transformation technique, a Luenberger-type boundary observer with the least squares parameter estimation law is designed, which relies only on the measurements at boundaries of the system. By employing the Lyapunov function method, we prove that the exponential convergence of the proposed boundary observer design scheme is guaranteed when the observer gains satisfy a set of matrix inequality conditions. Finally, we illustrate the effectiveness of the adaptive estimation scheme by applying it to the linearized Aw-Rascle-Zhang traffic flow model involving the in-domain relaxation time and boundary flux fluctuation uncertainties.

关键词:

Observers Adaptive systems hyperbolic PDEs Adaptive boundary observer Convergence Aw-Rascle-Zhang (ARZ) traffic flow model swapping transformation Lyapunov methods Linear matrix inequalities Adaptation models Parameter estimation

作者机构:

  • [ 1 ] [Wu, Jiahao]Beijing Univ Technol, Fac Informat Technol, Beijing 100124, Peoples R China
  • [ 2 ] [Zhan, Jingyuan]Beijing Univ Technol, Fac Informat Technol, Beijing 100124, Peoples R China
  • [ 3 ] [Zhang, Liguo]Beijing Univ Technol, Fac Informat Technol, Beijing 100124, Peoples R China
  • [ 4 ] [Wu, Jiahao]Beijing Key Lab Computat Intelligence & Intelligen, Beijing 100124, Peoples R China
  • [ 5 ] [Zhan, Jingyuan]Beijing Key Lab Computat Intelligence & Intelligen, Beijing 100124, Peoples R China
  • [ 6 ] [Zhang, Liguo]Beijing Key Lab Computat Intelligence & Intelligen, Beijing 100124, Peoples R China

通讯作者信息:

  • [Zhang, Liguo]Beijing Univ Technol, Fac Informat Technol, Beijing 100124, Peoples R China;;

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来源 :

IEEE TRANSACTIONS ON AUTOMATIC CONTROL

ISSN: 0018-9286

年份: 2024

期: 1

卷: 69

页码: 651-658

6 . 8 0 0

JCR@2022

被引次数:

WoS核心集被引频次: 4

SCOPUS被引频次: 4

ESI高被引论文在榜: 0 展开所有

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