Stable hybrid model predictive control for ramp metering

Sarah Koehler, Negar Mehr, Roberto Horowitz, Francesco Borrelli

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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.

Original languageEnglish (US)
Title of host publication2016 IEEE 19th International Conference on Intelligent Transportation Systems, ITSC 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1083-1088
Number of pages6
ISBN (Electronic)9781509018895
DOIs
StatePublished - Dec 22 2016
Externally publishedYes
Event19th IEEE International Conference on Intelligent Transportation Systems, ITSC 2016 - Rio de Janeiro, Brazil
Duration: Nov 1 2016Nov 4 2016

Publication series

NameIEEE Conference on Intelligent Transportation Systems, Proceedings, ITSC

Conference

Conference19th IEEE International Conference on Intelligent Transportation Systems, ITSC 2016
CountryBrazil
CityRio de Janeiro
Period11/1/1611/4/16

ASJC Scopus subject areas

  • Automotive Engineering
  • Mechanical Engineering
  • Computer Science Applications

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