**Reference:**

N. Groot,
B. De Schutter,
S.K. Zegeye, and
H. Hellendoorn,
"Model-based traffic and emission control using PWA models - A
mixed-logical dynamic approach," *Proceedings of the 14th
International IEEE Conference on Intelligent Transportation Systems
(ITSC 2011)*, Washington, DC, pp. 2142-2147, Oct. 2011.

**Abstract:**

For the purpose of traffic control a piecewise-affine (PWA)
approximation of the METANET model is proposed and tested in a
model-based predictive control (MPC) framework. This approximation is
provided as an alternative to the rather intensive computations when
using the original nonlinear nonconvex METANET traffic flow model
extended with a model for vehicular emissions and fuel consumption in
an MPC context. As a direct PWA-MPC computation turned out to be
intractable for on-line applications due to the size of the final,
full PWA model that consists of a large number of PWA regions, the PWA
model equations were additionally converted into a mixed-logical
dynamic (MLD) model. The resulting MLD-MPC problem - written as a
mixed-integer linear program (MILP) - can be solved much more
efficiently as it does not explicitly state all model equations for
each particular region. In a simple case study on a traffic network
including a variable speed limit and an un-metered on-ramp while
optimizing the total time spent (TTS), we compared the performance of
the approximate MLD-MPC approach to that of model predictive traffic
control when using the original nonlinear formulation of the METANET
model.

Corresponding technical report: pdf file (172 KB)

@inproceedings{GroDeS:11-030,

author={N. Groot and B. {D}e Schutter and S.K. Zegeye and H. Hellendoorn},

title={Model-based traffic and emission control using {PWA} models -- {A} mixed-logical dynamic approach},

booktitle={Proceedings of the 14th International IEEE Conference on Intelligent Transportation Systems (ITSC 2011)},

address={Washington, DC},

pages={2142--2147},

month=oct,

year={2011}

}

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