Open AccessVehicle density estimation of freeway traffic with unknown boundary demand–supply: an interacting multiple model approach
Author(s) -
Zhang Liguo,
Mao Xuerong
Publication year - 2015
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2014.1251
Subject(s) - cell transmission model , traffic congestion reconstruction with kerner's three phase theory , traffic flow (computer networking) , upstream (networking) , boundary (topology) , markov process , computer science , traffic congestion , control theory (sociology) , microscopic traffic flow model , traffic wave , traffic generation model , simulation , real time computing , engineering , mathematics , transport engineering , control (management) , statistics , computer network , mathematical analysis , artificial intelligence
As distributed parameter systems, dynamics of freeway traffic are dominated by the current traffic parameter and boundary fluxes from upstream/downstream sections or on/off ramps. The difference between traffic demand–supply and boundary fluxes actually reflects the congestion level of freeway travel. This study investigates simultaneous traffic density and boundary flux estimation with data extracted from on‐road detectors. The existing studies for traffic estimation mainly focus on the traffic parameters (density, velocity etc.) of mainline traffic and ignore flux fluctuations at boundary sections of the freeway. The authors propose a stochastic hybrid traffic flow model by extending the cell transmission model with Markovian multi‐mode switching. A novel interacting multiple model filtering for simultaneous input and state estimation is developed for discrete‐time Markovian switching systems with unknown input. A freeway segment of Interstate 80 East (I‐80E) in Berkeley, Northern California, is chosen to investigate the performance of the developed approach. Traffic data is obtained from the performance measurement system.