Time-Optimal Control Problem with State Constraints in a Time-Periodic Flow Field

• Type: Article in International Conference Proceedings Book
• Date: 2020

Authors

Chertovskih, R (Author) FEUP; Nathalie T. Khalil (Author) Other; Fernando Lobo Pereira (Author) FEUP

Conference proceedings International

Title: Communications in Computer and Information Science

Pages: 340-354

10th International Conference on Optimization and Applications, OPTIMA 2019

30 September 2019 through 4 October 2019

Indexing

ISI Web of Knowledge - 2 Citations

Scopus - 4 Citations

Other information

Authenticus ID: P-00R-NMC

DOI: 10.1007/978-3-030-38603-0_25

Abstract (EN): The following time-optimal control problem is solved numerically: compute the fastest trajectory joining two given (initial and final) points of a dynamic control system in a time-periodic flow field subject to state constraints. The considered problem mimics the real-life task of path-planning of a ship in a flow with tidal variations. The considered problem is solved using the maximum principle in Gamkrelidze¿s form. Under reasonable assumptions on the flow field, it is proved, that the problem is regular and the measure Lagrange multiplier, associated with the state constraint, is continuous. These properties (regularity and continuity) play a critical role in computing the field of extremals by solving the two-point boundary value problem given by the maximum principle. Some examples of time-periodic fluid flows are considered and the corresponding optimal solutions are found. © Springer Nature Switzerland AG 2020.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 15