Set-based multi-objective control of metered ramps at ring road junctions
Journal article, 2020

A set-theoretical approach is presented for a multi-objective control design of the local ramp metering problem. Two control objectives are specified: first, the optimization of traffic performance, by the minimization of total time spent. Second, the emission factor of CO2 needs to be minimized. The optimal state for traffic emission however lies in the unstable domain of the dynamic system. To dissolve this inconsistency, the control problem is formalized for the multi-objective optimization problem by using set-theoretical methods. For this purpose, the non-linear model METANET is rewritten in a shifted coordinate frame with a parameter-varying, polytopic representation. Bounds on state-, input- and disturbance variables are expressed by convex polytopes. These sets are then used for the design of an interpolated Hinf controller that is capable of improving traffic conditions according to the prescribed multi-objective criteria

urban ring roads

Ramp metering

traffic control

constrained control


T. Luspay

Hungarian Academy of Sciences

A Csikos

Hungarian Academy of Sciences

T. Péni

Hungarian Academy of Sciences

I. Varga

Budapest University of Technology and Economics

Balázs Adam Kulcsár

Chalmers, Electrical Engineering, Systems and control

Transportmetrica A: Transport Science

2324-9935 (ISSN) 2324-9943 (eISSN)

Vol. 16 2 337-357

Driving Forces

Sustainable development

Areas of Advance


Subject Categories

Transport Systems and Logistics

Electrical Engineering, Electronic Engineering, Information Engineering

Control Engineering



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