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Freeway traffic estimation within particle filtering framework
Authors:Lyudmila Mihaylova [Author Vitae]  René Boel [Author Vitae]
Affiliation:a Department of Communication Systems, Lancaster University, South Drive, Lancaster LA1 4WA, UK
b SYSTeMS Research Group, University of Ghent, B-9052 Zwijnaarde, Belgium
c Delft Center for Systems and Control, Delft University of Technology, Mekelweg 2, 2628 CD Delft, The Netherlands
Abstract:This paper formulates the problem of real-time estimation of traffic state in freeway networks by means of the particle filtering framework. A particle filter (PF) is developed based on a recently proposed speed-extended cell-transmission model of freeway traffic. The freeway is considered as a network of components representing different freeway stretches called segments. The evolution of the traffic in a segment is modelled as a dynamic stochastic system, influenced by states of neighbour segments. Measurements are received only at boundaries between some segments and averaged within possibly irregular time intervals. This limits the measurement update in the PF to only these time instants when a new measurement arrives, while in between measurement updates any simulation model can be used to describe the evolution of the particles. The PF performance is validated and evaluated using synthetic and real traffic data from a Belgian freeway. An unscented Kalman filter is also presented. A comparison of the PF with the unscented Kalman filter is performed with respect to accuracy and complexity.
Keywords:Bayesian estimation  Particle filtering  Macroscopic traffic models  Stochastic systems  Unscented Kalman filter
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