Optimal Control Problem for Minimization of Net Energy Consumption at Metro

被引：1

作者：

Udriste, Constantin ^{[1
,2
]}

Tevy, Ionel ^{[1
]}

Antonescu, Paun ^{[3
]}

机构：

[1] Univ Politehn Bucuresti, Fac Appl Sci, Dept Math & Informat, Splaiul Independentei 313, RO-060042 Bucharest, Romania

[2] Acad Romanian Scientists, Ilfov 3, RO-050044 Bucharest, Romania

[3] Univ Politehn Bucuresti, Dept Mech & Robot Theory, Splaiul Independentei 313, RO-060042 Bucharest, Romania

来源：

MATHEMATICS | 2023年 / 11卷 / 04期

关键词：

trajectory; energy consumption; optimal control; viscosity solutions; energy conservation; TRAIN CONTROL;

D O I：

10.3390/math11041035

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：11

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