An Indirect Method for Regular State-Constrained Optimal Control Problems in Flow Fields

被引：29

作者：

Chertovskih, Roman ^{[1
]}

Karamzin, Dmitry ^{[2
]}

Khalil, Nathalie T. ^{[1
]}

Pereira, Fernando Lobo ^{[1
]}

机构：

[1] Univ Porto, Fac Engn, Elect & Comp Engn Dept, Res Ctr Syst & Technol SYSTEC, P-4200465 Porto, Portugal

[2] Russian Acad Sci, Fed Res Ctr Comp Sci & Control, Moscow 119333, Russia

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2021年 / 66卷 / 02期

基金：

俄罗斯科学基金会;

关键词：

Indirect numerical methods; maximum principle; optimal control; regularity; state constraints;

D O I：

10.1109/TAC.2020.2986179

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This article concerns an indirect method to solve state-constrained optimal control problems. The dynamics of the controlled system is given by ordinary differential equations encompassing the effect of a steady flow field in which the moving object is immersed. The proposed method is based on the maximum principle in Gamkrelidze's form. At the core of the approach is a regularity hypothesis which entails the continuity of the measure Lagrange multiplier associated with the state constraint. This property plays key role in shaping a properly modified shooting method to solve the two-point boundary value problem resulting from the maximum principle. Illustrative applications to time optimal control problems are considered and results of numerical experiments are provided.

引用

页码：787 / 793

页数：7

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