Optimal Control of Sweeping Processes in Robotics and Traffic Flow Models

被引：17

作者：

Colombo, Giovanni ^{[1
]}

Mordukhovich, Boris ^{[2
]}

Dao Nguyen ^{[2
]}

机构：

[1] Univ Padua, Dipartimento Matemat Tullio Levi Civita, Via Trieste 63, I-35121 Padua, Italy

[2] Wayne State Univ, Dept Math, Detroit, MI 48202 USA

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2019年 / 182卷 / 02期

基金：

美国国家科学基金会; 澳大利亚研究理事会;

关键词：

Optimal control; Sweeping process; Variational analysis; Discrete approximations; Necessary optimality conditions; Robotics; Traffic flows;

D O I：

10.1007/s10957-019-01521-y

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

The paper is mostly devoted to applications of a novel optimal control theory for perturbed sweeping/Moreau processes to two practical dynamical models. The first model addresses mobile robot dynamics with obstacles, and the second one concerns control and optimization of traffic flows. Describing these models as controlled sweeping processes with pointwise/hard control and state constraints and applying new necessary optimality conditions for such systems allow us to develop efficient procedures to solve naturally formulated optimal control problems for the models under consideration and completely calculate optimal solutions in particular situations.

引用

页码：439 / 472

页数：34

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