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Dynamic Traffic Rec...
Dynamic Traffic Reconstruction using Probe Vehicles
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- Barreau, Matthieu (författare)
- KTH,Reglerteknik
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Selivanov, A. (författare)
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- Johansson, Karl H., 1967- (författare)
- KTH,Reglerteknik
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(creator_code:org_t)
- Institute of Electrical and Electronics Engineers Inc. 2020
- 2020
- Engelska.
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Ingår i: 2020 59th IEEE Conference on Decision and Control (CDC). - : Institute of Electrical and Electronics Engineers Inc.. ; , s. 233-238
- Relaterad länk:
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https://urn.kb.se/re...
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visa fler...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- This article deals with the observation problem in traffic flow theory. The model used is the quasiilinear viscous Burgers equation. Instead of using the traditional fixed sensors to estimate the state of the traffic at given points, the measurements here are obtained from Probe Vehicles (PVs). We propose then a moving dynamic boundary observer whose boundaries are defined by the trajectories of the PVs. The main result of this article is the exponential convergence of the observation error, and, in some cases, its finite-time convergence. Finally, numerical simulations show that it is possible to observe the traffic in the congested, free-flow, and mixed regimes provided that the number of PVs is large enough.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Nyckelord
- Partial differential equations
- Dynamic boundary
- Dynamic traffic
- Exponential convergence
- Finite-time convergence
- Observation errors
- Probe vehicles
- Traffic flow theory
- Viscous Burgers equation
- Probes
Publikations- och innehållstyp
- ref (ämneskategori)
- kon (ämneskategori)