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Author:

Wu, Jiahao (Wu, Jiahao.) | Zhan, Jingyuan (Zhan, Jingyuan.) | Zhang, Liguo (Zhang, Liguo.)

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EI

Abstract:

This paper studies the problem of the adaptive boundary observer design for the Aw-Rascle-Zhang (ARZ) traffic flow model, which is subject to both relaxation time uncertainty in the domain and boundary input disturbance. The boundary input disturbance comes from merging vehicles' velocities at the downstream on-ramp, and we scale the disturbance by a low-pass filter based on the ordinary differential equation (ODE). Then, the ARZ model with the domain uncertainty and boundary input disturbance can be linearized to a coupled ODE-PDE system. Based on the swapping transformation, an adaptive boundary observer with least-squares type parameter estimation is designed to estimate the traffic states, the domain uncertainty, and the boundary input disturbance, simultaneously. The exponential convergence conditions w.r.t. the observer feedback gains are given by employing the Lyapunov technique. Finally, the simulation results are presented to illustrate the effectiveness of the designed adaptive boundary observer. Copyright © 2023 The Authors. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0/)

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Author Community:

  • [ 1 ] [Wu, Jiahao]The Faculty of Information Technology, Beijing University of Technology, China
  • [ 2 ] [Wu, Jiahao]The Beijing Key Laboratory of Computational Intelligence and Intelligent Systems, Beijing; 100124, China
  • [ 3 ] [Zhan, Jingyuan]The Faculty of Information Technology, Beijing University of Technology, China
  • [ 4 ] [Zhan, Jingyuan]The Beijing Key Laboratory of Computational Intelligence and Intelligent Systems, Beijing; 100124, China
  • [ 5 ] [Zhang, Liguo]The Faculty of Information Technology, Beijing University of Technology, China
  • [ 6 ] [Zhang, Liguo]The Beijing Key Laboratory of Computational Intelligence and Intelligent Systems, Beijing; 100124, China

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Year: 2023

Issue: 2

Volume: 56

Page: 8964-8969

Language: English

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 6

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