Guaranteed Cost Optimal Control of High-speed Train with Time-delay in Cruise Phase

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 tradeoff 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.