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作者:

Zhao, Hanxu (Zhao, Hanxu.) | Zhan, Jingyuan (Zhan, Jingyuan.) | Zhang, Liguo (Zhang, Liguo.) (学者:张利国)

收录:

EI Scopus SCIE

摘要:

In contrast to the fruitful results in saturated control of ordinary differential equation (ODE) systems, there are few related studies for hyperbolic partial differential equation (PDE) systems. This paper focuses on the saturated boundary feedback stabilization problem for the Lighthill-Whitham-Richards (LWR) traffic flow model, in which a variable speed limit (VSL) device is applied at the downstream boundary in the presence of actuator saturation and a saturated boundary feedback controller is proposed to drive the traffic density to the steady state. By employing the Lyapunov function method along with a modified local sector condition, sufficient conditions for ensuring the local exponential stability of the LWR traffic flow system are developed in C1-norm. Remarkably, the proposed sufficient conditions establish a relationship between the control gain and the region of exponential stability (RES), and thus the maximal RES can be determined by introducing an optimization criterion. Lastly, numerical simulations are performed to verify the effectiveness of the theoretical results.(c) 2023 Elsevier B.V. All rights reserved.

关键词:

Actuator saturation Lyapunov function LWR traffic flow model Sector condition Boundary control

作者机构:

  • [ 1 ] [Zhao, Hanxu]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 ] [Zhao, Hanxu]Key Lab Computat Intelligence & Intelligent Syst, Beijing 100124, Peoples R China
  • [ 5 ] [Zhan, Jingyuan]Key Lab Computat Intelligence & Intelligent Syst, Beijing 100124, Peoples R China
  • [ 6 ] [Zhang, Liguo]Key Lab Computat Intelligence & Intelligent Syst, Beijing 100124, Peoples R China

通讯作者信息:

  • [Zhan, Jingyuan]Beijing Univ Technol, Fac Informat Technol, Beijing 100124, Peoples R China;;

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来源 :

SYSTEMS & CONTROL LETTERS

ISSN: 0167-6911

年份: 2023

卷: 173

2 . 6 0 0

JCR@2022

ESI学科: ENGINEERING;

ESI高被引阀值:19

被引次数:

WoS核心集被引频次: 6

SCOPUS被引频次: 6

ESI高被引论文在榜: 0 展开所有

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中文被引频次:

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