Analysis of the urban network gating problem: An SOS programming approach

Balazs Nemeth, Alfred Csikos, P. Gáspár, Istvan Varga

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The paper presents a Sum-of-Squares programming-based method for the analysis of the nonlinear urban network gating problem. The goal of the analysis is the determination of the maximum control input by which the stability of the system is guaranteed and traffic congestion is avoided. The urban traffic dynamics is modeled as a parameter-dependent polynomial system, which depends on the nonlinear and uncertain network fundamental diagram. The formulation of the Sum-of-Squares optimization procedure uses a parameter-dependent polynomial Control Lyapunov Function for the computation of the maximum controlled inflow. The results of the nonlinear analysis can be applied to the analysis of the urban network gating problem and the synthesis of the gating control. The efficiency of the optimization process is demonstrated through case studies.

Original languageEnglish
Title of host publication2015 European Control Conference, ECC 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2652-2657
Number of pages6
ISBN (Print)9783952426937
DOIs
Publication statusPublished - Nov 16 2015
EventEuropean Control Conference, ECC 2015 - Linz, Austria
Duration: Jul 15 2015Jul 17 2015

Other

OtherEuropean Control Conference, ECC 2015
CountryAustria
CityLinz
Period7/15/157/17/15

ASJC Scopus subject areas

  • Control and Systems Engineering

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  • Cite this

    Nemeth, B., Csikos, A., Gáspár, P., & Varga, I. (2015). Analysis of the urban network gating problem: An SOS programming approach. In 2015 European Control Conference, ECC 2015 (pp. 2652-2657). [7330938] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ECC.2015.7330938