Jingcheng Lu

For kinetic plasmas governed by the Vlasov–Maxwell system, feedback control has either taken the full phase-space perturbation as input or relied on instantaneous field cancellation, which degrades once sensing and actuation delays appear. This controller instead uses macroscopic quantities such as current densities, electromagnetic fields and their spatial gradients as feedback information, and a low-rank neural operator learns a residual correction to the delayed cancellation baseline while the control objective stays kinetic: stabilizing the full distribution toward a prescribed equilibrium. In numerical experiments on two-stream and Weibel-type current-filamentation instabilities, the controller keeps suppressing perturbation growth over long times under substantial feedback delay.

For kinetic plasmas governed by the Vlasov–Maxwell system, feedback control has either taken the full phase-space perturbation as input or relied on instantaneous field cancellation, which degrades once sensing and actuation delays appear. This controller instead uses macroscopic quantities such as current densities, electromagnetic fields and their spatial gradients as feedback information, and a low-rank neural operator learns a residual correction to the delayed cancellation baseline while the control objective stays kinetic: stabilizing the full distribution toward a prescribed equilibrium. In numerical experiments on two-stream and Weibel-type current-filamentation instabilities, the controller keeps suppressing perturbation growth over long times under substantial feedback delay.