Resilient Control of Transportation Networks by Using Variable Speed Limits

A. Yasin Yazicioǧlu, Mardavij Roozbehani, Munther A. Dahleh

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

We investigate the use of variable speed limits for resilient operation of transportation networks, which are modeled as dynamical flow networks under local routing decisions. In such systems, some external inflow is injected to the so-called origin nodes of the network. The total inflow arriving at each node is routed to its operational outgoing links based on their current densities of traffic. The density on each link has first-order dynamics driven by the difference of its incoming and outgoing flows. A link fails if it reaches its jam density. Such failures may propagate in the network and cause a systemic failure. We show that larger link capacities, that is, the maximum flows that can be sustained by the links, are not always better for preventing systemic failures under local routing. Accordingly, we propose the use of variable speed limits to operate the links below their capacities, when necessary, to compensate for the lack of global information and coordination in routing decisions. We show that systemic failures under feasible external inflows can always be averted through proper selection of speed limits if the routing decisions are sufficiently responsive to local congestion and the network is initially uncongested. This is an attractive feature as it provides a practical alternative to building more physical capacity or altering routing decisions that are determined by social behavior.

Original languageEnglish (US)
Article number8186244
Pages (from-to)2011-2022
Number of pages12
JournalIEEE Transactions on Control of Network Systems
Volume5
Issue number4
DOIs
StatePublished - Dec 2018
Externally publishedYes

Keywords

  • Decentralized control
  • networked control systems
  • nonlinear control systems
  • traffic control

Fingerprint Dive into the research topics of 'Resilient Control of Transportation Networks by Using Variable Speed Limits'. Together they form a unique fingerprint.

  • Cite this