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Journal articles
Time-optimal control of a particle in a dielectrophoretic system
Abstract : 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.
Cited literature [10 references]
https://hal-mines-paristech.archives-ouvertes.fr/hal-00531113
Contributor : François Chaplais Connect in order to contact the contributor
Submitted on : Monday, November 1, 2010 - 10:58:28 PM
Last modification on : Wednesday, November 17, 2021 - 12:30:55 PM
Long-term archiving on: : Wednesday, February 2, 2011 - 11:57:37 AM
Contributor : François Chaplais Connect in order to contact the contributor
Submitted on : Monday, November 1, 2010 - 10:58:28 PM
Last modification on : Wednesday, November 17, 2021 - 12:30:55 PM
Long-term archiving on: : Wednesday, February 2, 2011 - 11:57:37 AM
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