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Title: An integrated deep reinforcement learning-linear control strategy for longitudinal control of connected and automated vehicles
Authors: Yi, Z 
Xu, M 
Wang, S 
Issue Date: Mar-2026
Source: Transportation research. Part C, Emerging technologies, Mar. 2026, v. 184, 105541
Abstract: String stability is important to maintain the longitudinal control of connected and automated vehicles (CAVs). It prevents the amplification of the perturbations as they propagate through the platoon. A variety of methods based on the deep reinforcement learning (DRL) approach have been proposed for longitudinal control of CAVs, which show excellent performance. However, none of those methods consider string stability on theoretical grounds due to the lack of explicit mathematical models in the DRL approach. To address this problem, we integrate a novel linear controller in a DRL framework for longitudinal control of CAVs, referred to integrated DRL-linear control (IDL) strategy. It can guarantee string stability while striking a good balance among various benefits, including vehicle safety, comfort, and efficiency. We employ the twin delay depth deterministic policy gradient (TD3) algorithm, a promosing DRL, in the proposed framework for decision. Numerical simulation results demonstrate that the proposed approach ensures theoretical string stability while significantly enhancing vehicle safety, comfort, and efficiency compared to human-driven vehicles (HDVs) and a model-based cooperative adaptive cruise control (CACC) strategy. It also outperforms the deep deterministic policy gradient (DDPG) and pure TD3 strategies in terms of safety, comfort, and string stability. These results indicate that the proposed IDL strategy not only benefits from the advantages of the linear controller in analyzing theoretical string stability conditions but also retains the advantage of the DRL approach in terms of optimizing the trade-off between multiple benefits.
Keywords: Connected and automated vehicle
Deep reinforcement learning
Linear controller
String stability
Twin delayed deep deterministic policy gradient algorithm
Publisher: Elsevier Ltd
Journal: Transportation research. Part C, Emerging technologies 
ISSN: 0968-090X
EISSN: 1879-2359
DOI: 10.1016/j.trc.2026.105541
Rights: © 2026 The Author(s). Published by Elsevier Ltd. This is an open access article under the CC BY license ( http://creativecommons.org/licenses/by/4.0/ ).
The following publication Yi, Z., Xu, M., & Wang, S. (2026). An integrated deep reinforcement learning-linear control strategy for longitudinal control of connected and automated vehicles. Transportation Research Part C: Emerging Technologies, 184, 105541 is available at https://doi.org/10.1016/j.trc.2026.105541.
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