Open-loop adapive opics wih closed-loop conrol of deformable mirror

Abstract

This paper presens a new conrol scheme for open-loop adapive opics. The considered deformable mirror is a MEMS (Micro-elecronic-mechanical Sysems) device wih coninuous face-shee In order o improve sysem performance, we inroduce a scheme based on closed-loop conrol of deformable mirror, which racks he reference signal provided by opical loop. The dynamics of he deformable mirror are modeled as a ime-dependen parial differenial equaion (PDE). To carry ou conrol design, we discreize his PDE model on space and apply he echnique of linear quadraic regulaor o his discreized model. In addiion o he advanages offered by closed-loop conrol, he proposed scheme works in a dynamic fashion, which is more computationally efficient compared to saic inversion of desired mirror shape. The simulaion resuls show he effeciveness of he proposed mehod.