Robust Constrained Cooperative Control for Multiple Trains

Qijie Hu, Xinyu Fan () and Yue Wei
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Qijie Hu: School of Automation, Central South University, Changsha 410081, China
Xinyu Fan: School of Automation, Central South University, Changsha 410081, China
Yue Wei: Guangdong Laboratory of Artificial Intelligence and Digital Economy (Shenzhen), Shenzhen 518000, China

Mathematics, 2024, vol. 12, issue 13, 1-11

Abstract: This paper investigates robust constrained cooperative control for multiple trains, taking into account disturbances, velocity and control input constraints, and nonlinear operation resistances. A robust constrained cooperative control algorithm is employed, utilizing position information from neighboring trains to ensure each train operates within the desired formation. The effects of external disturbances are examined through multiple transformations and the convexity of stochastic matrices, resulting in an error bound for the final relative positions. This error boundary is correlated with the parameters of the system matrix, initial state conditions, and disturbance amplitudes. The theoretical findings are substantiated with a numerical example.

Keywords: multiple trains systems; robust constrained cooperative control; velocity and control input constraints; disturbances (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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