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

Gökhan Göksu, Mehmet Ali Silgu, Ismet Gökşad Erdaǧi, Hilmi Berk Çelikoǧlu

Research output: Contribution to journalConference articlepeer-review

6 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)31-36
Number of pages6
JournalIFAC-PapersOnLine
Volume54
Issue number2
DOIs
Publication statusPublished - 2021
Event16th IFAC Symposium on Control in Transportation Systems CTS 2021 - Lille, France
Duration: 8 Jun 202110 Jun 2021

Bibliographical note

Publisher Copyright:
© 2021 The Authors.

Keywords

  • integral input-to-state stability
  • intelligent transportation systems
  • switched systems
  • variable speed limit

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