Optimal Multi-process Control of a Two Vortex Driven Particle in the Plane

• Type: Article in International Conference Proceedings Book
• Date: 2017

Authors

Fernando Lobo Pereira (Author) FEUP; Grilo, T (Author) Other; Sílvio Gama (Author) FCUP

Conference proceedings International

Title: IFAC PAPERSONLINE

Pages: 2193-2198

20th World Congress of the International-Federation-of-Automatic-Control (IFAC)

Toulouse, FRANCE, JUL 09-14, 2017

Indexing

ISI Web of Knowledge - 6 Citations

Scopus - 9 Citations

Scientific classification

CORDIS: Physical sciences > Mathematics

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-00N-4Z3

DOI: 10.1016/j.ifacol.2017.08.280

Abstract (EN): This article concerns the optimal motion control of a particle moving in a two dimensional fluid whose dynamics are given by a vector field defined, in any time interval, by two point vortices whose circulation decay exponentially in time with a given constant rate. The control action is exercised by generating one vortex - specified by its location and respective circulation - at a chosen time, and by varying the exposure of the particle to each one of the vortices in continuum time. A control multi-process framework is chosen in order to derive necessary conditions of optimality in the form of a Maximum Principle of Pontryagin. These conditions provide relations that suffice to fully determine the optimal control process.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 6