Optimal Control Problem for Minimization of Net Energy Consumption at Metro

Constantin Udriste (), Ionel Tevy and Paun Antonescu
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Constantin Udriste: Department of Mathematics and Informatics, Faculty of Applied Sciences, University Politehnica of Bucharest, Splaiul Independentei 313, RO-060042 Bucharest, Romania
Ionel Tevy: Department of Mathematics and Informatics, Faculty of Applied Sciences, University Politehnica of Bucharest, Splaiul Independentei 313, RO-060042 Bucharest, Romania
Paun Antonescu: Department of Mechanisms and Robot Theory, University Politehnica of Bucharest, Splaiul Independentei 313, RO-060042 Bucharest, Romania

Mathematics, 2023, vol. 11, issue 4, 1-11

Abstract: The optimal control currently decides the minimum energy consumption within the problems attached to subways. Among other things, we formulate and solve an optimal bi-control problem, the two controls being the acceleration and the feed-back of a Riemannian connection. The control space is a square, and the optimal controls are of the bang–bang type. The third component of the optimal solution is the maximum value function, as a solution of the Hamilton–Jacobi–Bellman PDE. The examples of energy optimal trajectories refer to the lines of the Bucharest subway.

Keywords: trajectory; energy consumption; optimal control; viscosity solutions; energy conservation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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