Highway traffic state estimation using improved mixture Kalman filters for effective ramp metering control

X Sun, L Muñoz, R Horowitz - 42nd IEEE International …, 2003 - ieeexplore.ieee.org
42nd IEEE International Conference on Decision and Control (IEEE …, 2003ieeexplore.ieee.org
In this paper, we use a cell transmission model based switching state-space model to
estimate vehicle densities and congestion modes at unmeasured locations on a highway
section. The mixture Kalman filter algorithm, which is based on sequential Monte Carlo
method, is employed to approximately solve the difficult problem of inference on a switching
state-space model with an unobserved discrete state. We propose a scheme to prevent the
risk of weight underflow and to introduce forgetting. The estimation results show that …
In this paper, we use a cell transmission model based switching state-space model to estimate vehicle densities and congestion modes at unmeasured locations on a highway section. The mixture Kalman filter algorithm, which is based on sequential Monte Carlo method, is employed to approximately solve the difficult problem of inference on a switching state-space model with an unobserved discrete state. We propose a scheme to prevent the risk of weight underflow and to introduce forgetting. The estimation results show that comparable accuracies can be achieved using either a small or a large number of sampling sequences, thus make it possible to carry out efficient online filtering. Underflow prevention and forgetting improves estimation accuracy in our examples. On average, a mean percentage error of approximately 10% is achieved for the vehicle density estimation. The estimation performance is consistent with data sets from various days.
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