Highlights A Robust perimeter control based on an MFD-based traffic model with partial information feedback is developed. H∞, observer-based P and PI robust controllers are designed. Set-point accumulations & control values are obtained off-line using an optimization program. Control parameters are obtained from an LMI problem derived based on the Lyapunov theory. Control design addresses the correlation between different directions of the perimeter control signals.
Abstract Perimeter control is an effective city-scale solution to tackle congestion problems in urban networks. To accommodate the unpredictable dynamics of congestion propagation, it is essential to incorporate real-time robustness against travel demand fluctuations into a pragmatic perimeter control strategy. This paper proposes robust perimeter control algorithms based on partial information feedback from the network. The network dynamics are modeled using the concept of the Macroscopic Fundamental Diagram (MFD), where a heterogeneously congested network is assumed to be partitioned into two homogeneously congested regions, and an outer region that acts as demand origin and destination. The desired operating condition of the network is obtained by solving an optimization program. Observer-based H ∞ proportional (P) and proportional-integral (PI) controllers are designed based on Lyapunov theory, to robustly regulate the accumulation of each region and consequently to maximize the network outflow. The controller design algorithms further accommodate operational constraints by guarantying: (i) the boundedness of the perimeter control signals and (ii) a bounded offset between the perimeter control signals. Control parameters are designed off-line by solving a set of linear matrix inequalities (LMI), which can be solved efficiently. Comprehensive numerical studies conducted on the nonlinear model of the network highlight the effectiveness of the proposed robust control algorithms in improving the congestion in the presence of time-varying disturbance in travel demand.
H ∞ robust perimeter flow control in urban networks with partial information feedback
Transportation Research Part B: Methodological ; 137 ; 47-73
2019-03-12
27 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Robust perimeter control design for an urban region
Online Contents | 2014
|Robust perimeter control design for an urban region
Elsevier | 2014
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