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

• Type: Article in International Scientific Journal
• Date: 2021

Authors

Chertovskih, R (Author) FEUP; Dmitry Karamzin (Author) FEUP; Khalil, NT (Author) FEUP; Fernando Lobo Pereira (Author) FEUP

Journal

Title: IEEE Transactions on Automatic Control

Vol. 66

Pages: 787-793

ISSN: 0018-9286

Publisher: IEEE

Indexing

ISI Web of Knowledge - 18 Citations

Scopus - 20 Citations

Other information

Authenticus ID: P-00S-2WC

DOI: 10.1109/tac.2020.2986179

Abstract (EN): 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 7