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For heavy haul trains, it is difficult to get global information due to the limited rangeof communication. This paper proposed a novel distributed optimal control based on gamestrategy, in which the global optimization is achieved by equilibrizing subsystems’ performancejust utilizing local information. To online solve the game control, an efficient multivariableextremum seeking algorithm was adapted to approximate the partial differential equationdeduced by optimal condition. The convergence of the proposed approximate algorithmis proved by constructing a fictitious Lie bracket system using Lyapunov function. Finally,the proposed distributed optimal control is valuated rigorously by case study according to theconfiguration of Daqin railway in China.

An Online Distributed Game Optimal Control for Heavy Haul Trains with Limited Communication