Robust control of a bimorph mirror for adaptive optics system

TL;DR

This paper develops a robust control approach for adaptive optics systems using an H-infinity controller, modeling the deformable mirror and turbulent phase in a state-space framework, leading to improved multivariable control performance.

Contribution

It introduces a novel robust control design incorporating a modified mirror model and turbulent phase modeling in a state-space framework for adaptive optics.

Findings

Significant improvement over traditional SISO methods

Effective H-infinity controller design in infinite-dimensional setting

Enhanced multivariable control performance

Abstract

We apply robust control technics to an adaptive optics system including a dynamic model of the deformable mirror. The dynamic model of the mirror is a modification of the usual plate equation. We propose also a state-space approach to model the turbulent phase. A continuous time control of our model is suggested taking into account the frequential behavior of the turbulent phase. An H_\infty controller is designed in an infinite dimensional setting. Due to the multivariable nature of the control problem involved in adaptive optics systems, a significant improvement is obtained with respect to traditional single input single output methods.