Abstract
Perimeter traffic flow control, based on Macroscopic Fundamental Diagram (MFD) has been developed for traffic congestion control in heterogeneously congested cities. The perimeter control can be realized based on a set of traffic signals on the border between the urban regions that manipulates transferring flows between the regions to regulate the overall urban traffic system states towards a desirable condition considering disturbances and uncertainties in the modeling and state observability. This paper presents robust control of the two-region MFD system with perimeter control addressing different sources of uncertainties. In this paper two types of controller, sliding mode control (SMC) and linear quadratic regulator (LQR) control, are designed based on nonlinear and linearized system dynamics, respectively. The SMC is designed to assure robustness against all type of uncertainty. A simulation study is performed to evaluate the effectiveness of the proposed control approaches.
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