期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 531, 期 1, 页码 -出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2023.127891
关键词
Optimal control; Optimality conditions; Mean field control
This paper focuses on the mathematical modeling and solution of the optimal charging problem for a large population of plug-in electric vehicles (PEVs) with mixed state variables. It introduces a mean field assumption to describe the evolution interaction of the PEVs population. The optimal control of the mixed system's continuity equation under state constraints is investigated, and the existence of a minimum solution is proven. The solution is characterized as a weak solution of a system of two coupled partial differential equations: a continuity equation and a Hamilton-Jacobi equation. Regularity results of the optimal feedback control are provided.
This paper is focused on the mathematical modeling and solution of the optimal charging of a large population of identical plug-in electric vehicles (PEVs) with mixed state variables (continuous and discrete). A mean field assumption is formulated to describe the evolution interaction of the PEVs population. The optimal control of the resulting continuity equation of the mixed system under state constraints is investigated. We prove the existence of a minimizer. We then characterize the solution as the weak solution of a system of two coupled PDEs: a continuity equation and of a Hamilton-Jacobi equation. We provide regularity results of the optimal feedback control.(c) 2023 Elsevier Inc. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据