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
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
收藏
页数:11
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