A Simple Mathematical Model to Steering Oceanic Debris to a Targeted Region

• Type: Article in International Conference Proceedings Book
• Date: 2024

Authors

Balsa, C (Author) Other; Otero Espinar, M (Author) Other; Sílvio Gama (Author) FCUP

Conference proceedings International

Title: Communications in Computer and Information Science

Pages: 58-70

3rd International Conference on Advanced Research in Technologies, Information, Innovation and Sustainability, ARTIIS 2023

Madrid, 18 October 2023 through 20 October 2023

Indexing

Scopus - 0 Citations

Other information

Authenticus ID: P-00Z-K2E

DOI: 10.1007/978-3-031-48930-3_5

Abstract (EN): In this article, a simplified mathematical model is presented to depict the process of collecting ocean debris. The responsible autonomous vehicles for transporting the trash are represented as passive particles, while the ocean current is simulated by the movement of point vortices on a sphere. To ensure the autonomy of the vehicles, a system of piecewise constant controls is employed, using a limited number of predetermined switching points that determine their trajectories. Each control incurs an energy cost that is aimed to be minimized. This minimization is achieved by solving a nonlinear optimization problem on the spherical surface. The initial findings indicate the existence of multiple possible trajectories for autonomous vehicles. © 2024, The Author(s), under exclusive license to Springer Nature Switzerland AG.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 12