In this paper, a novel guaranteed cost control scheme that takes into account state time-delay and parametric uncertainties is proposed for high-speed train (HST) optimal operation control. First, a linear dynamic model of HST is built, where the basic and additional resistances, in-train force, train effort as well as state time-delay are addressed explicitly. Second, an operation criterion considering the velocity tracking, operation safety and running cost is established. Third, a guaranteed cost controller is then designed to realize the optimal control with trade-off among the multiple objectives. To the best knowledge of the authors, it is the first time to address the velocity tracking, the operation safety and the running cost simultaneously while considering both state time-delay and parametric uncertainties, which corresponds to a more practical scenario in high-speed train control. At last, simulation is carried out to validate the effectiveness of the proposed control scheme under different delay degrees.

在本文中，为高速列车 (HST) 优化运行控制提出了一种新的保证成本控制方案，该方案考虑了状态时滞和参数不确定性。首先，建立了 HST 的线性动态模型，其中明确解决了基本和附加阻力、列车内力、列车努力以及状态时延。其次，建立考虑速度跟踪、运行安全和运行成本的运行准则。第三，然后设计保证成本控制器以实现在多个目标之间权衡的最优控制。据作者所知，这是第一次同时考虑速度跟踪、运行安全和运行成本，同时考虑状态时延和参数不确定性，这对应于高速列车控制中更实际的场景。最后通过仿真验证了所提出的控制方案在不同延迟程度下的有效性。