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Article Dans Une Revue Automatica Année : 2023

Controller Design for Heterogeneous Traffic with Bottleneck and Disturbances

Résumé

This paper studies an optimal boundary control law for a heterogeneous traffic flow model with disturbances in order to alleviate the congested traffic. The macroscopic first-order N-class Aw-Rascle traffic model consists of 2N hyperbolic partial differential equations. The vehicle size and the driver's behavior characterize the type of vehicles. There are m positive characteristic velocities and 2N − m negative characteristic velocities in the congested traffic after linearizing the model equations around the steady-state depending on the spatial variable. By using the backstepping method, a controller implemented by a ramp metering at the inlet boundary is designed for rejecting the disturbances to stabilize the 2N × 2N heterogeneous traffic system. The developed controller in terms of proportional integral control is derived from mapping the original system to a target system with a proportional integral boundary control rejecting the disturbances. The integral input-to-state stability of the target system is proved by using the Lyapunov method. Finally, an optimization problem is established and solved for seeking the optimal controller.
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Dates et versions

hal-03766105 , version 1 (31-08-2022)

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Lina Guan, Liguo Zhang, Christophe Prieur. Controller Design for Heterogeneous Traffic with Bottleneck and Disturbances. Automatica, 2023, 148, pp.110790. ⟨10.1016/j.automatica.2022.110790⟩. ⟨hal-03766105⟩
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