The numerical control of the motion of a passive particle in a point vortex flow

• Type: Article in International Conference Proceedings Book
• Date: 2021

Authors

Balsa, C (Author) Other; Sílvio Gama (Author) FCUP

Conference proceedings International

Title: Lecture Notes in Electrical Engineering

Pages: 148-158

14th APCA International Conference on Automatic Control and Soft Computing, CONTROLO 2020

1 July 2020 through 3 July 2020

Indexing

Scopus - 1 Citation

Other information

Authenticus ID: P-00S-R8Z

DOI: 10.1007/978-3-030-58653-9_14

Abstract (EN): This work reports numerical explorations in the advection of one passive tracer by point vortices living in the unbounded plane. The main objective is to find the energy-optimal displacement of one passive particle (point vortex with zero circulation) surrounded by N point vortices. The direct formulation of the corresponding control problems is presented for the case of N=1, N=2, N=3 and N=4 vortices. The restrictions are due to (i) the ordinary differential equations that govern the displacement of the passive particle around the point vortices, (ii) the available time T to go from the initial position Z0 to the final destination Zf and (iii) the maximum absolute value umax that is imposed on the control variables. The resulting optimization problems are solved numerically. The numerical results show the existence of nearly/quasi-optimal controls. © The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021.

Language: English

Type (Professor's evaluation): Scientific