Robust Ramp Metering Design using Sliding Mode Control of a Hybrid Dynamical Model with Functional Uncertainties

3 Abstract: This paper presents an application of sliding mode control based concept to real time freeway ramp metering. A robust hybrid feedback control design for controlling the traffic flow on ramp and entering a freeway to reduce traffic congestion has been designed. This model uses Godunov based hybrid switching with sliding mode control to produce robust stability for the system in presence of parametric uncertainties and functional disturbances. The main obstacle encountered in real time application using sliding mode control is chattering which is suppressed by introducing a boundary layer around the switching surface and using a continuous control function within the boundary layer. Simulations have been performed that show the effectiveness of the proposed novel approach and confirm that sliding mode is reachable in finite time.

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