Train Bi-Control Problem on Riemannian Setting

Gabriel Popa, Constantin Udriste and Ionel Tevy
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Gabriel Popa: Department Railway Rolling Stock, Faculty of Transport, University Politehnica of Bucharest, Splaiul Independentei 313, 060042 Bucharest, Romania
Constantin Udriste: Department of Mathematics and Informatics, Faculty of Applied Sciences, University Politehnica of Bucharest, Splaiul Independentei 313, 060042 Bucharest, Romania
Ionel Tevy: Department of Mathematics and Informatics, Faculty of Applied Sciences, University Politehnica of Bucharest, Splaiul Independentei 313, 060042 Bucharest, Romania

Mathematics, 2021, vol. 9, issue 22, 1-12

Abstract: This article refers to the optimization of the energy consumption of guided traction rails, such as those used for electric trains (including subway electric units), railcars, locomotives, and trams, in a Riemannian framework. The proposed optimization strategy takes into account the compliance time drive and aims at improving the transport system for given operation conditions. Our study has five targets: (1) improving the optimal control techniques; (2) establishing a strategy for the operating conditions of the vehicle; (3) formulating and solving additional problems of optimal movement; (4) improving automatic systems for vehicle traction to optimize energy consumption in a Riemannian context; (5) formulating and solving a problem of maximizing the profit of the train. Some significant figures and formulas obtained by Maple procedures clarify the problems.

Keywords: optimal control involving ODEs; train optimal bi-control; adjoint variables; speed profile (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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