Integral Input-to-State Stability of Traffic Flow with Variable Speed Limit

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

16th IFAC Symposium on Control in Transportation Systems (CTS), Lille, France, 8 - 10 June 2021, vol.54, pp.31-36 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 54
  • Doi Number: 10.1016/j.ifacol.2021.06.005
  • City: Lille
  • Country: France
  • Page Numbers: pp.31-36
  • Keywords: integral input-to-state stability, switched systems, variable speed limit, intelligent transportation systems, CELL TRANSMISSION MODEL, LANE CHANGE CONTROL, CONTROLLERS, SYSTEMS, WAVES
  • Istanbul Technical University Affiliated: Yes


In this paper, a variable speed limit controller is proposed to ensure integral input-to-state stability of the traffic state by using saturated feedback. The ordinary differential equations model of traffic flow is used with a two-phase fundamental diagram to design the controller. A common Lyapunov function is found for both phases which ensures the integral input-to-state stability of the closed-loop system. Proposed controller is tested with numerical examples to show the robustness properties particularly bounded energy frequently bounded state and bounded energy weakly converging state which are the characterizations of the integral input-to-state stability. Copyright (C) 2021 The Authors.