In this paper, a novel ramp metering control with constraints compliance is introduced for a road traffic system with uncertain demand. The uncertain part of the flow entering the on-ramps is estimated relying on Integral Sliding Mode (ISM) based Unknown Input Observers (UIOs). The estimation is then employed in a Quadratic Programming (QP) problem, where constraints on queue lengths at the on-ramps are included via suitable Control Barrier Functions (CBFs). This results in an original approach that ensures adherence to queue length constraints by design, even under uncertain on-ramp demand conditions. The proposal is theoretically analyzed and assessed in simulation relying on the Cell Transmission Model (CTM) suitably extended to encompass the capacity drop effect. Simulation-based evaluations confirm the effectiveness of the proposed approach.

Constrained ramp metering control based on sliding mode unknown input observers

Sacchi N.;Cucuzzella M.;Ferrara A.
2025-01-01

Abstract

In this paper, a novel ramp metering control with constraints compliance is introduced for a road traffic system with uncertain demand. The uncertain part of the flow entering the on-ramps is estimated relying on Integral Sliding Mode (ISM) based Unknown Input Observers (UIOs). The estimation is then employed in a Quadratic Programming (QP) problem, where constraints on queue lengths at the on-ramps are included via suitable Control Barrier Functions (CBFs). This results in an original approach that ensures adherence to queue length constraints by design, even under uncertain on-ramp demand conditions. The proposal is theoretically analyzed and assessed in simulation relying on the Cell Transmission Model (CTM) suitably extended to encompass the capacity drop effect. Simulation-based evaluations confirm the effectiveness of the proposed approach.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/1548631
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