Model-based traffic and emission control using PWA models - A mixed-logical dynamic approach


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.


Downloads:
 * Corresponding technical report: pdf file (172 KB)
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Bibtex entry:

@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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