Tractable Robust Predictive Control Approaches for Freeway Networks

Reference

S. Liu, J.R.D. Frejo, A. Núñez, B. De Schutter, A. Sadowska, H. Hellendoorn, and E.F. Camacho, "Tractable Robust Predictive Control Approaches for Freeway Networks," Proceedings of the 17th International IEEE Conference on Intelligent Transportation Systems (ITSC 2014), Qingdao, China, pp. 1857-1862, Oct. 2014.

Abstract

Robust control aims to maintain predefined performance specifications for a wide range of uncertainties. In this paper, we consider the robust control problem for freeway networks, including the uncertainties explicitly in the control design step. We use min-max scheme for handling the uncertainties occurring in freeway networks. In order to reduce the computational complexity of min-max scheme, we propose scenario-based min-max Model Predictive Control (MPC) and scenario-based Receding-Horizon Parametrized Control (RHPC) in this paper, which solve the complete robust problem approximately. In addition, a new objective function is proposed to ensure the satisfaction of queue length constraints. A case study is implemented to assess the effectiveness of the proposed approaches. The results show that nominal MPC and nominal RHPC may result in a better performance than scenario-based min-max MPC and scenario-based min-max RHPC. However, nominal MPC and nominal RHPC cannot ensure the satisfaction of the queue length constraint. By applying scenario-based min-max MPC and scenario-based min-max RHPC, the queue length constraint is satisfied conservatively at the cost of an increase in the performance index.

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Bibtex entry

@inproceedings{LiuFre:14-035,
author={S. Liu and J.R.D. Frejo and A. N{\'{u}}{\~{n}}ez and B. {D}e Schutter and A. Sadowska and H. Hellendoorn and E.F. Camacho},
title={Tractable Robust Predictive Control Approaches for Freeway Networks},
booktitle={Proceedings of the 17th International IEEE Conference on Intelligent Transportation Systems (ITSC 2014)},
address={Qingdao, China},
pages={1857--1862},
month=oct,
year={2014},
doi={10.1109/ITSC.2014.6957963}
}

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