Adaptive observer design for coupled ODE–hyperbolic PDE systems with application to traffic flow estimation - Details

Author：

Zhang, L. (Zhang, L..) | Wu, J. (Wu, J..) | Zhan, J. (Zhan, J..)

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EI Scopus SCIE

Abstract：

This　paper　studies　the　state　estimation　problem　for　a　class　of　coupled　linear　ODE–hyperbolic　PDE　systems　with　unknown　in-domain　parameters.　Based　on　the　swapping　transformation　and　the　least　squares　parameter　estimation　method,　a　Luenberger-type　adaptive　boundary　observer　is　designed　to　estimate　the　ODE–PDE　states　under　the　unknown　parameters.　The　exponential　convergence　conditions　w.r.t.　the　observer　feedback　gains　are　given　by　employing　the　Lyapunov　technique.　Finally,　an　application　to　traffic　state　estimation　of　the　Aw–Rascle–Zhang　(ARZ)　model　involving　the　unknown　relaxation　time　and　the　boundary　input　speed　deviation　is　provided　to　validate　the　theoretical　result.　©　2024　Elsevier　Ltd

Keyword：

Hyperbolic systems Lyapunov method Adaptive observers Swapping transformation Coupled ODE–PDE systems

Author Community：

[ 1 ] [Zhang L.]Faculty of Information Technology, Beijing University of Technology, Beijing, 100124, China
[ 2 ] [Zhang L.]Key Laboratory of Computational Intelligence and Intelligent Systems, Beijing, 100124, China
[ 3 ] [Wu J.]Faculty of Information Technology, Beijing University of Technology, Beijing, 100124, China
[ 4 ] [Wu J.]Key Laboratory of Computational Intelligence and Intelligent Systems, Beijing, 100124, China
[ 5 ] [Zhan J.]Faculty of Information Technology, Beijing University of Technology, Beijing, 100124, China
[ 6 ] [Zhan J.]Key Laboratory of Computational Intelligence and Intelligent Systems, Beijing, 100124, China

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Related Keywords：

PI Boundary Feedback Control for Freeway Traffic Networks
2019，38th Chinese Control Conference (CCC)
Boundary Feedback Control in Networks of Freeway Traffic
2016，35th Chinese Control Conference (CCC)
Adaptive Boundary Observers for Hyperbolic PDEs with Application to Traffic Flow Estimation
2023，IEEE Transactions on Automatic Control
Adaptive boundary observer for ARZ traffic flow model with domain and boundary uncertainties
2023，22nd IFAC World Congress

Source ：

Automatica

ISSN： 0005-1098

Year： 2024

Volume： 167

6 . 4 0 0

JCR@2022

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ESI Highly Cited Papers on the List： 0 Unfold All

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30 Days PV： 3

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