Experimental study on Modified Linear Quadratic Gaussian Control for Adaptive Optics

TL;DR

This paper introduces a Modified Linear Quadratic Gaussian (MLQG) control algorithm for adaptive optics, addressing divergence issues in traditional LQG and demonstrating improved stability and precision in laboratory tests.

Contribution

The paper proposes a novel MLQG control method that enhances stability and accuracy in adaptive optics systems over standard LQG.

Findings

MLQG shows strong stability in lab tests.

MLQG achieves higher precision than classical PI control.

The proposed method effectively prevents divergence issues.

Abstract

To achieve high resolution imaging the standard control algorithm used for classical adaptive optics (AO) is the simple but efficient proportional-integral (PI) controller. The goal is to minimize the root mean square (RMS) error of the residual wave front. However, with the PI controller one does not reach this minimum. A possibility to achieve is to use Linear Quadratic Gaussian Control (LQG). In practice, however this control algorithm still encounters one unexpected problem, leading to the divergence of control in AO. In this paper we propose a Modified LQG (MLQG) to solve this issue. The controller is analyzed explicitly. Test in the lab shows strong stability and high precision compared to the classical control.