@inproceedings{c836f178d1bf46fa9849a137bce9b57a,
title = "Stable hybrid model predictive control for ramp metering",
abstract = "We formulate the Asymmetric Cell Transmission Model (ACTM) as a piecewise affine system defined over regions of the state and input space. We synthesize a hybrid Model Predictive Controller (MPC) for the piecewise affine model such that persistent feasibility and stability are guaranteed. We do so by designing a terminal constraint and terminal cost for the equilibrium state of the system. We include a detailed analysis of the equilibrium point of the piecewise affine system, and define the region of demand under which an equilibrium point exists.We show that our method achieves the same performance in terms of efficiency and exhibits much smoother behavior than that of the commonly used relaxed ACTM controller formulation.",
author = "Sarah Koehler and Negar Mehr and Roberto Horowitz and Francesco Borrelli",
note = "Publisher Copyright: {\textcopyright} 2016 IEEE.; 19th IEEE International Conference on Intelligent Transportation Systems, ITSC 2016 ; Conference date: 01-11-2016 Through 04-11-2016",
year = "2016",
month = dec,
day = "22",
doi = "10.1109/ITSC.2016.7795691",
language = "English (US)",
series = "IEEE Conference on Intelligent Transportation Systems, Proceedings, ITSC",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "1083--1088",
booktitle = "2016 IEEE 19th International Conference on Intelligent Transportation Systems, ITSC 2016",
address = "United States",
}