Event-triggered output feedback control of traffic flow on cascaded roads

Nicolás Espitia (1) , Jean Auriol (2) , Huan Yu (3) , Miroslav Krstic (3)

1 CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
2 L2S - Laboratoire des signaux et systèmes
3 MAE - UC San Diego - Department of Mechanical and Aerospace Engineering [Univ California San Diego]

In this chapter, we develop an event-triggered boundary output feedback controller that guarantees the simultaneous stabilization of traffic flow on connected roads. The density and velocity traffic dynamics are described with the linearized Aw-Rascle-Zhang (ARZ) macroscopic traffic partial differential equation (PDE) model, which results in a coupled hyperbolic system. The control objective is to simultaneously stabilize the upstream and downstream traffic to a given spatially uniform constant steady-state that is in the congested regime. To suppress stop-and-go traffic oscillations on the cascaded roads, we consider a ramp metering strategy that regulates the traffic flow rate entering from the on-ramp to the mainline freeway. The ramp metering is located at the outlet with only boundary measurements of flow rate and velocity. The main idea is that the control signal is only updated when an event triggering condition is satisfied. Compared with the continuous input signal, the event-triggered boundary output control presents a more realistic setting to implement by ramp metering on a digital platform. The event-triggered boundary output control design relies on the emulation of the backstepping boundary output feedback and on a dynamic event-triggered

Domaines: Equations aux dérivées partielles [math.AP]

Nicolás Espitia, Jean Auriol, Huan Yu, Miroslav Krstic. Event-triggered output feedback control of traffic flow on cascaded roads. Advances in Distributed Parameter Systems, pp 243-267, 2021, 978-3-030-94766-8. ⟨10.1007/978-3-030-94766-8_11⟩. ⟨hal-03419923⟩