| Texto completo | |
| Autor(es): |
Neto, Ulisses Alves Maciel
;
da Silva, Paulo Sergio Pereira
;
Rouchon, Pierre
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | AUTOMATICA; v. 145, p. 9-pg., 2022-08-27. |
| Resumo | |
One considers the control problem of an ensemble of Bloch equations (non-interacting half-spins) in a static magnetic field B-0. The state M(t, .) belongs to the Sobolev space H-1((omega (*), omega*), S-2) where the parameter omega is an element of (omega(*), omega*) is the Larmor frequency. Previous works have constructed a Lyapunov based stabilizing feedback in a convenient H-1-norm that assures local L-infinity-convergence of the initial state M-0(omega) to the south pole, solving locally the approximate steering problem from M-0 towards the south pole. However, the corresponding control law contains a comb of periodic pi-Rabi pulses (Dirac impulses), corresponding to strongly unbounded control. The present work proposes smooth uniformly bounded time-varying controls for this local steering problem, where the Rabi pulses are replaced by adiabatic following smooth pulses. Furthermore, simulations show that this new strategy produces faster convergence, even for initial conditions "relatively far" from the south pole. (C) 2022 Elsevier Ltd. All rights reserved. (AU) | |
| Processo FAPESP: | 18/17463-7 - Controle de Portas Quânticas e de Conjuntos Contínuos de Equações de Bloch |
| Beneficiário: | Paulo Sergio Pereira da Silva |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |