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arXiv 2008.02379math.OCcs.SYeess.SY
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多个相邻交叉口互联自动车辆的最优控制

Optimal Control of Connected and Automated Vehicles at Multiple Adjacent Intersections

Behdad Chalaki, Andreas A. Malikopoulos

摘要:

针对互联自动驾驶车辆(CAV)穿越多个相邻、多车道无信号交叉口的问题,建立了一种分散式最优控制框架,以最小化能耗和提高交通吞吐量.我们的框架包括两层规划。在上层规划中,每个CAV递归计算其在每个交叉口的最佳到达时间以及最佳车道,以提高交通吞吐量。在低层规划中,我们制定了一个能量最优控制问题的边界点的约束,其中的解决方案产生的最优控制输入(加/减速度)的每一个CAV通过交叉口在指定的时间由上层规划。此外,我们提出的两级框架,包括一个有界的稳态误差跟踪的CAV的最佳位置的结果。最后,通过对对称和非对称交叉口的仿真,以及与传统信号交叉口的比较,验证了所提方法的有效性。

英文摘要:

In this paper, we establish a decentralized optimal control framework for connected and automated vehicles (CAVs) crossing multiple adjacent, multi-lane signal-free intersections to minimize energy consumption and improve traffic throughput. Our framework consists of two layers of planning. In the upper-level planning, each CAV computes its optimal arrival time at each intersection recursively along with the optimal lane to improve the traffic throughput. In the low-level planning, we formulate an energy-optimal control problem with interior-point constraints, the solution of which yields the optimal control input (acceleration/deceleration) of each CAV to cross the intersections at the time specified by the upper-level planning. Moreover, we extend the results of the proposed bi-level framework to include a bounded steady-state error in tracking the optimal position of the CAVs. Finally, we demonstrate the effectiveness of the proposed framework through simulation for symmetric and asymmetric intersections and comparison with traditional signalized intersections.

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