Woofer-tweeter deformable mirror control for closed-loop adaptive optics: theory and practice
Donald Gavel, Andrew Norton

TL;DR
This paper presents a control architecture for a dual-deformable-mirror adaptive optics system, ensuring stability and optimal correction in large telescopes through theoretical analysis, simulations, and on-sky testing.
Contribution
It introduces a novel control approach for Woofer-tweeter deformable mirrors that guarantees stability and performance in high-order adaptive optics systems.
Findings
Control architecture ensures system stability and efficiency
Simulation and on-sky tests validate the approach
Effective correction of wavefront distortions in large telescopes
Abstract
Deformable mirrors with very high order correction generally have smaller dynamic range of motion than what is required to correct seeing over large aperture telescopes. As a result, systems will need to have an architecture that employs two deformable mirrors in series, one for the low-order but large excursion parts of the wavefront and one for the finer and smaller excursion components. The closed-loop control challenge is to a) keep the overall system stable, b) avoid the two mirrors using control energy to cancel each other's correction, c) resolve actuator saturations stably, d) assure that on average the mirrors are each correcting their assigned region of spatial frequency space. We present the control architecture and techniques for assuring that it is linear and stable according to the above criteria. We derived the analytic forms for stability and performance and show results…
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