Optimal Control of a Passive Particle Advected by a Point Vortex

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

Authors

Marques, G (Author) Other; Grilo, T (Author) Other; Sílvio Gama (Author) FCUP; Pereira, FL (Author) Other

Conference proceedings International

Title: Communications in Computer and Information Science

Pages: 512-523

1st International Conference on Advanced Research in Technologies, Information, Innovation and Sustainability, ARTIIS 2021

25 November 2021 through 27 November 2021

Indexing

Scopus - 3 Citations

Other information

Authenticus ID: P-00V-VZM

DOI: 10.1007/978-3-030-90241-4_39

Abstract (EN): The objective of this work is to develop a mathematical framework for modeling, control and optimization of the movement of a passive particle advected by a point vortex. Dynamic equations are rewritten in polar coordinates, where the control acts only on the radial coordinate. The optimal control found is explicitly time dependent. This framework should provide a sound basis for the design and control of new advanced engineering systems arising in many important classes of applications, some of which encompass underwater gliders and mechanical fishes. The research effort has been focused in applying necessary conditions of optimality for some class of flow driven dynamic control systems, by using the vortex methods. The control problem of moving a passive particle between two given points driven by this class of flow in a prescribed time and minimizing the energy of the process has been solved by using the maximum principle. © 2021, Springer Nature Switzerland AG.

Language: English

Type (Professor's evaluation): Scientific