Regular path-constrained time-optimal control problems in three-dimensional flow fields

• Type: Article in International Scientific Journal
• Date: 2020

Authors

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

Journal

Title: European Journal of Control

Vol. 56

Pages: 98-106

ISSN: 0947-3580

Publisher: LAVOISIER

Indexing

ISI Web of Knowledge - 19 Citations

Scopus - 26 Citations

Other information

Authenticus ID: P-00S-2WB

DOI: 10.1016/j.ejcon.2020.02.003

Abstract (EN): This article concerns a class of time-optimal state constrained control problems with dynamics defined by an ordinary differential equation involving a three-dimensional steady flow vector field. The problem is solved by virtue of an indirect method based on the maximum principle in Gamkrelidze's form. The proposed computational method essentially uses a certain regularity condition imposed on the data of the problem. A regularity assumption guarantees the continuity of the measure multiplier associated with the state constraint and ensures the appropriate behavior of the corresponding numerical procedure which, in general, consists of computing the entire field of extremals for the problem in question. Several examples of vector fields are considered to illustrate the computational approach.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 9