公开(公告)号：US20240086604A1

公开(公告)日：2024-03-14

申请号：US17966449

申请日：2022-10-14

Applicant: XEROX CORPORATION

Inventor： Ion Matei ,  Johan de Kleer ,  Maksym Igorevich Zhenirovskyy

IPC: G06F30/3308

CPC classification number: G06F30/3308 ,  G06F2101/14 ,  G06F2111/14

Abstract: System and method that allow to control density distributions of multiple particles (micro-or-nano-sized objects) to desired positions are described. A kernel density estimation (KDE) is used as a proxy for the initial particle density distribution and an optimal control problem is defined and solved using this approximation. A sequence of electrode electric potentials is computed so that the initial particle distribution is shaped into a target distribution after applying this sequence over time. The optimal control cost function is defined in terms of an L2 metric, with the L2 function that is used to compute the error between the particle density at the end of a time horizon and a target density. The KDE depends on the predicted trajectories of a set of particles, where the trajectory of a single particle is determined by a lumped, 2D, capacitive-based, nonlinear model describing the particle's motion.