**Reference:**

N. Groot,
B. De Schutter,
S. Zegeye, and
H. Hellendoorn,
"Model-based predictive traffic control: A piecewise-affine approach
based on METANET," *Proceedings of the 18th IFAC World
Congress*, Milan, Italy, pp. 10709-10714, Aug.-Sept. 2011.

**Abstract:**

As an alternative to the rather intensive computations when using the
nonlinear traffic flow model METANET in a model-based predictive
control context, a piecewise-affine (PWA) approximation of the model
is proposed. Here, several model equations amongst which the
fundamental diagram are approximated by a PWA function. Some selected
methods to determine this approximation are shortly discussed. In
addition, we make use of model properties and physical insight to
improve the PWA approximation. For the purpose of traffic control, the
PWA approximation of the METANET model can be used in a model
predictive control (MPC) framework. In view of the on-line
optimization used by MPC and the related trade-off between accuracy
and computational speed, in a case study the accuracy of various
approximations is compared to the original nonlinear formulation of
METANET.

Online version of the paper

Corresponding technical report: pdf file (251 KB)

@inproceedings{GroZeg:11-015,

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

title={Model-based predictive traffic control: {A} piecewise-affine approach based on {METANET}},

booktitle={Proceedings of the 18th IFAC World Congress},

address={Milan, Italy},

pages={10709--10714},

month=aug # {--} # sep,

year={2011},

doi={10.3182/20110828-6-IT-1002.03181}

}

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