H-infinity State Feedback Controller for ODE Model of Traffic Flow

Silgu M. A., Erdağı İ. G., Goksu G., Çelikoğlu H. B.

16th IFAC Symposium on Control in Transportation Systems (CTS), Lille, France, 8 - 10 June 2021, vol.54, pp.19-24 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 54
  • Doi Number: 10.1016/j.ifacol.2021.06.003
  • City: Lille
  • Country: France
  • Page Numbers: pp.19-24
  • Keywords: Traffic modelling and control, H-infinity control, ramp metering, variable speed limit, COMMUNICATION-SYSTEMS, VEHICLE AUTOMATION, OPTIMIZATION
  • Yıldız Technical University Affiliated: No


In this study, we propose an H-infinity state feedback controller for freeway traffic flow. The integrated freeway traffic flow management scheme is applied through coordination of ramp metering and variable speed limit. In order to improve the service characteristics of mainstream and on-ramps, we have designed a controller that sustains the mainstream flow around a critical density while concerning the on-ramp queue lengths. We have used the state space discretized ODE model of traffic flow to design continuous-time feedback controllers. The performance of the controller is validated on a micro-simulation environment which is calibrated by field data. The simulation results show that the H-infinity controller decreases the average densities and the average queue lengths on on-ramps. Copyright (C) 2021 The Authors.