Energy Optimal Control in Lamb-Oseen Vortex Flow

• Type: Article in International Conference Proceedings Book
• Date: 2025

Authors

Marques, G (Author) Other; Sílvio Gama (Author) FCUP

Conference proceedings International

Title: Lecture Notes in Electrical Engineering

Pages: 530-539

16th APCA International Conference on Automatic Control and Soft Computing, CONTROLO 2024

Porto, 17 July 2024 through 19 July 2024

Indexing

Scopus - 0 Citations

Other information

Authenticus ID: P-018-RES

DOI: 10.1007/978-3-031-81724-3_47

Abstract (EN): This work investigates how to optimally transport a passive particle between two prescribed points in the 2-D plane in the presence of a Lamb-Oseen (viscous) vortex. We study how to minimise the energy spent in moving the particle by applying a control that only acts on the radial component of the movement. Using Pontryagin¿s Maximum Principle, we find an explicit time-dependent extremal and convert the problem into a parameter search problem. Due to the geometry of the problem, we find that it is possible to have candidates to the optimal solution with different numbers of full turns around the vortex and that this number of turns limits the range of viscosities where solutions exist. We observe that there can be gaps in the viscosity range where solutions exist, and that solutions with lower turn count are preferred (in the sense of minimising the energy cost). © The Author(s), under exclusive license to Springer Nature Switzerland AG 2025.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 9