Perimeter Flow Control of Bi-Modal Urban Road Networks: A Robust Feedback Control Approach

Ampountolas, K. , Zheng, N. and Geroliminis, N. (2014) Perimeter Flow Control of Bi-Modal Urban Road Networks: A Robust Feedback Control Approach. In: European Control Conference (ECC 14), Strasbourg, France, 24-27 Jun 2014, pp. 2569-2574. ISBN 9783952426913 (doi: 10.1109/ECC.2014.6862286)

Abstract

In this paper, we integrate a three-dimensional Macroscopic Fundamental Diagram (3D-MFD) modelling for mixed bi-modal urban traffic 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 with two modes of transport, cars and buses. We introduce the composition of traffic in the network as a parameter that affects the shape of the 3D-MFD. A linear system subject to uncertain time-varying vehicle composition is employed to describe the aggregated bi-modal traffic dynamics. This model aims at designing a proportional perimeter flow controller that guarantees robust regulation and stability, given that vehicle composition is a slow time-varying parameter. The control gain of the proposed regulator is calculated offline using semi-definite programming. In order to evaluate the proposed scheme, a simulation-based comparison of the robust perimeter flow controller with a pre-timed control plan for an area of Downtown San Francisco is carried out.

• Item Type: Conference Proceedings
• Keywords: feedback linear systems mathematical programming proportional control road traffic control robust control time-varying systems uncertain systems 3D-MFD
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Ampountolas, Dr Konstantinos
• Authors: Ampountolas, K., Zheng, N., and Geroliminis, N.
• College/School: College of Science and Engineering > School of Engineering > Infrastructure and Environment
• ISBN: 9783952426913