Robust control of bi-modal multi-region urban networks: an LMI optimisation approach

Konstantinos Ampountolas, Nan Zheng, Nikolas Geroliminis

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

6 Citations (Scopus)


This work concerns the integration of a Three-Dimensional Macroscopic Fundamental Diagram (3D-MFD) modelling for mixed bi-modal traffic (consisting of cars and buses sharing the same infrastructure) in a control framework for congested urban regions. The 3D-MFD relates the accumulation of cars and buses and the outflow (or circulating flow) in a traffic network. A Linear Parameter Varying (LPV) model with uncertain parameters for vehicle composition approximates the original nonlinear system of aggregated dynamics when it is near the equilibrium point for single- and multiple-region cities governed by 3D-MFDs. This model aims at designing a Proportional-Integral (PI) perimeter flow controller that guarantees robust regulation and stability, given that vehicle composition is a slow time-varying parameter. The control gain of the PI regulator is calculated off-line using Linear Matrix Inequality (LMI) optimisation. A simulation-based comparison of the proposed PI control with a pre-timed control plan for an area of San Francisco is carried out. Results show significant improvements in terms of travel delays for cars and buses and schedule reliability of bus services.

Original languageEnglish
Title of host publication2014 17th IEEE International Conference on Intelligent Transportation Systems, ITSC 2014
PublisherIEEE, Institute of Electrical and Electronics Engineers
Number of pages6
ISBN (Electronic)9781479960781
Publication statusPublished - 2014
Externally publishedYes
EventIEEE International Conference on Intelligent Transportation Systems 2014 - Qingdao, China
Duration: 8 Oct 201411 Oct 2014
Conference number: 17th (Proceedings)


ConferenceIEEE International Conference on Intelligent Transportation Systems 2014
Abbreviated titleITSC 2014
Internet address

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