Min-Max Optimal Control for High-Speed Train Movements with Exogenous Disturbances and Uncertain Parameters

This study investigates the min-max optimal control of high-speed train movements considering worst-case exogenous disturbances and uncertain parameters simultaneously. For a high-speed train, each car is modeled as a point mass connected by flexible coupling to track the reference speed profile of the train. Based on the robust model predictive control (RMPC) approach, a min-max optimal control problem is formulated to reduce the energy consumption and tracking errors while satisfying some individual constraints. The desired control inputs can be obtained by solving the min-max optimization problem.