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Optimal Path Planning for Connected and Automated Vehicles at Urban Intersections (1903.04013v3)

Published 10 Mar 2019 in math.OC

Abstract: In earlier work, a decentralized optimal control framework was established for coordinating online connected and automated vehicles (CAVs) at urban intersections. The policy designating the sequence that each CAV crosses the intersection, however, was based on a first-in-first-out queue, imposing limitations on the optimal solution. Moreover, no lane changing, or left and right turns were considered. In this paper, we formulate an upper-level optimization problem, the solution of which yields, for each CAV, the optimal sequence and lane to cross the intersection. The effectiveness of the proposed approach is illustrated through simulation.

Citations (3)

Summary

  • The paper proposes a two-level optimization framework to dynamically sequence and assign lanes for CAVs at urban intersections.
  • It uses an upper-level strategy for optimal vehicle ordering and a low-level control for smooth, energy-efficient trajectories.
  • Simulations confirm reduced congestion, collision prevention, and potential emissions reduction in urban traffic settings.

Optimizing Path Planning for Connected and Automated Vehicles at Urban Intersections

The paper "Optimal Path Planning for Connected and Automated Vehicles at Urban Intersections," authored by Andreas A. Malikopoulos and Liuhui Zhao, addresses the challenges inherent in effectively managing connected and automated vehicles (CAVs) at urban intersections. The authors propose a sophisticated methodology to enhance intersection throughput and reduce traffic congestion by leveraging connected and automated vehicle technology.

Problem Formulation

At the core of the paper is the formulation of an optimization problem designed to dynamically manage both the sequence and the lane allocation of CAVs traversing intersections. The paper builds upon prior decentralized optimal control frameworks, which coordinated CAV movements based on queue-driven models that did not factor in lane changing or complex maneuvering like left and right turns. This paper advances the framework by allowing for flexible vehicular interaction with the intersection, providing a more dynamic and holistic approach to vehicle coordination.

Methodology

The approach involves a two-level optimization framework:

  1. Upper-Level Optimization: This identifies the optimal sequence and lane for each CAV, forming the core of the paper's proposal. It effectively breaks from the constraints of a first-in-first-out queue system, instead allowing decision-making based on instantaneous traffic conditions and vehicle trajectories.
  2. Low-Level Optimization: Once the upper-level decisions are made, the vehicles optimize their control inputs (accelerations and decelerations) to meet these objectives without activating state or control constraints. This level of optimization ensures that each CAV follows a smooth, energy-efficient path as it navigates through the intersection, using a formulated cost function that minimizes control effort while complying with speed and safety regulations.

Simulation Results

To validate this innovative control framework, the authors conduct simulations that demonstrate the system's ability to handle multiple vehicles entering an intersection from various directions simultaneously. The simulation results confirm that the proposed optimization strategy successfully prevents collision and efficiently coordinates vehicle movement without triggering state constraints.

Implications and Future Directions

The practical implications of this paper are substantial; optimizing CAV flow at intersections could drastically reduce urban traffic congestion, minimize vehicle idle times, decrease fuel consumption, and subsequently lower emissions. The theoretical implications provide a paradigm shift in how intersection management can be approached in the era of automated vehicles.

Future research directions suggested by the authors include considering different penetration rates of CAVs in mixed traffic settings and incorporating more complex vehicular behaviors into the model. Additionally, exploring adaptive control strategies that could respond to varying ambient conditions and implementing these methodologies in real-world traffic scenarios are likely avenues for further paper.

Conclusion

Overall, by addressing both the optimization of vehicle paths and the precise control of their motions, this paper significantly contributes to the body of work aimed at harnessing the potential of CAVs to transform urban mobility systems. The results hold promise for future advancements in intersection design and control, further paving the way for the smooth integration of CAVs into complex urban environments.

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