An online distributed game optimal control for heavy haul trains with limited communication
type: Item
instance of: scholarly article
title: An online distributed game optimal control for heavy haul trains with limited communication
zbMATH Open document ID: 1394.91074
DOI: 10.1155/2015/158695
author: Kai Gao
author: Zhiwu Huang
author: Jun Peng
author: Heng Li
author: Weirong Liu
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: For heavy haul trains, it is difficult to get global information due to the limited range of communication. This paper proposed a novel distributed optimal control based on game strategy, in which the global optimization is achieved by equilibrizing subsystems' performance just utilizing local information. To online solve the game control, an efficient multivariable extremum seeking algorithm was adapted to approximate the partial differential equation deduced by optimal condition. The convergence of the proposed approximate algorithm is 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 the configuration of Daqin railway in China.
Mathematics Subject Classification ID: 91A80
Mathematics Subject Classification ID: 49N70
zbMATH DE Number: 6925616
Wikidata QID: Q59117421
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/158695
OpenAlex ID: W1999631435
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description: scientific article; zbMATH DE number 6925616