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Authors
Advisor(s)
Abstract(s)
The objective of this study is to control the motion of a passive particle advected by N point vortices in a sphere. The square of the L2 norm of control, necessary for the system to evolve from a starting point to an end point in an a priori fixed time, must be minimized. If the motion is generated by a single vortex (N=1), we show that the system is controllable. The problem is also solved by a direct approach, where the control problem is transformed into a nonlinear optimization problem that is solved numerically. In the case of one (N=1), two (N=2), or three (N=3) point vortices, the numerical results show the existence of near/quasi-optimal control.
Description
Keywords
Vortex motion Passive tracer Spherical motion Optimal control Non-linear optimization problem
Citation
Balsa, Carlos; Gama, Sílvio M.A.(2022). A control problem with passive particles driven by point vortices on the sphere. In 2nd International Conference on Advanced Research in Technologies, Information, Innovation and Sustainability, ARTIIS 2022. Santiago de Compostela. p. 139 - 150
Publisher
Springer