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.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Stable hybrid Model Predictive Control for ramp metering


    Contributors:


    Publication date :

    2016-11-01


    Size :

    310623 byte





    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English



    Output-Feedback Model Predictive Control for Ramp Metering

    Li, Zhexian / Savla, Ketan | IEEE | 2023


    Model predictive control with repeated model fitting for ramp metering

    Bellemans, T. / De Schutter, B. / De Moor, B. | IEEE | 2002


    MODEL PREDICTIVE CONTROL WITH REPEATED MODEL FITTING FOR RAMP METERING

    Bellemans, T. / De Schutter, B. / De Moor, B. et al. | British Library Conference Proceedings | 2002


    Reinforcement Learning With Model Predictive Control for Highway Ramp Metering

    Airaldi, Filippo / Schutter, Bart De / Dabiri, Azita | IEEE | 2025

    Free access

    Model predictive control for ramp metering of motorway traffic: A case study

    Bellemans, T. / Schutter, B. De / Moor, B. de | Tema Archive | 2006