Time-optimal control of a particle in a dielectrophoretic system - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue IEEE Transactions on Automatic Control Année : 2006

Time-optimal control of a particle in a dielectrophoretic system

(1) , (2) , (2)
1
2

Résumé

We study the time-optimal control of a particle in a dielectrophoretic system. This system consists of a time-varying nonuniform electric field which acts upon the particle by creating a dipole within it. The interaction between the induced dipole and the electric field generates the motion of the particle. The control is the voltage on the electrodes which induces the electric field. Since we are considering the motion of a particle on an invariant line in a chamber filled with fluid flowing at low Reynolds number, the dynamics have a two dimensional state; one for the particle position and the other for the induced dipole moment. In regard to time-optimal control, we address the issue of existence and uniqueness of optimal trajectories, and explicitly compute the optimal control and the corresponding minimum time. Finally, we cast our analysis in the framework of symplectic reduction theory in order to provide geometric insight into the problem.
Fichier principal
Vignette du fichier
Dielectrophoretic.pdf (1.01 Mo) Télécharger le fichier
Origine : Fichiers éditeurs autorisés sur une archive ouverte
Loading...

Dates et versions

hal-00531113 , version 1 (01-11-2010)

Identifiants

Citer

Dong Eui Chang, Nicolas Petit, Pierre Rouchon. Time-optimal control of a particle in a dielectrophoretic system. IEEE Transactions on Automatic Control, 2006, 51 (7), pp.100-1114. ⟨10.1109/TAC.2006.878748⟩. ⟨hal-00531113⟩
58 Consultations
256 Téléchargements

Altmetric

Partager

Gmail Facebook Twitter LinkedIn More