AI 中文总结
针对LWR交通模型的域内拥塞控制问题，本文提出基于控制障碍函数的方法，通过KKT分析转化为二次规划后，用结构感知的原始-对偶有效集算法实时求解，经数值模拟验证了方法的有效性与实时性。
AI 中文摘要
本文提出一种基于控制障碍函数的Lighthill-Whitham-Richards（LWR）交通模型实时域内拥塞控制方法。将交通拥塞建模为分布式安全控制问题，形成无限维优化问题，经离散化和Karush-Kuhn-Tucker（KKT）分析后，转化为高维二次规划问题。随后开发利用结构的原始-对偶有效集算法，以保证收敛性的方式实时计算安全控制输入。采用不同标称控制器的数值模拟验证了所提方法的有效性和实时可行性。
英文摘要
This paper presents a control barrier function-based method for real-time in-domain congestion control of the Lighthill-Whitham-Richards traffic model. Traffic congestion is formulated as a distributed safety control problem, leading to a infinite-dimensional optimization problem. Through the discretization and Karush-Kuhn-Tucker (KKT) analysis, the problem is converted into a high-dimensional quadratic program. A structure-exploiting primal-dual active set algorithm is then developed to compute the safe control input in real time, with convergence guarantees. Numerical simulations with different nominal controllers demonstrate the effectiveness and real-time feasibility of the proposed approach.
Comments6 pages, 4 figures. Accepted to IEEE CDC 2026
