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Nonlinear Control of Stop-and-Go Traffic

In: Traffic and Granular Flow ’99

Author

Listed:
  • R. Sollacher

    (Information and Communications, Siemens AG, Corporate Technology)

  • H. Lenz

    (Information and Communications, Siemens AG, Corporate Technology)

Abstract

In highway traffic one observes metastabiltiy in a certain range of the traffic density. Perturbations of a large enough amplitude develop into jams or stop-andgo waves. Observations and simulations indicate that the latter behave like solitary waves. Current traffic control systems based on varying speed limits cannot always prevent the creation of stop-and-go waves nor can they damp them. We have designed a nonlinear controller which is able to extinguish stop-and-go waves; its performance is demonstrated within simulations using a realistic traffic model. The construction is based on a transformation to a coordinate system moving with the propagation speed of the stop-and-go waves.

Suggested Citation

  • R. Sollacher & H. Lenz, 2000. "Nonlinear Control of Stop-and-Go Traffic," Springer Books, in: Dirk Helbing & Hans J. Herrmann & Michael Schreckenberg & Dietrich E. Wolf (ed.), Traffic and Granular Flow ’99, pages 315-320, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-59751-0_28
    DOI: 10.1007/978-3-642-59751-0_28
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