We present a modification of the closed-loop state space model for adaptive optics control that allows delays that are a noninteger multiple of the system frame rate. We derive the new forms of the predictive Fourier control Kalman filters for arbitrary delays and show that they are linear combinations of the whole-frame delay terms. This structure of the controller is independent of the delay. System stability margins and residual error variance both transition gracefully between integer-frame delays.
© 2008 Optical Society of America
Atmospheric and oceanic optics
Original Manuscript: November 13, 2007
Revised Manuscript: March 14, 2008
Manuscript Accepted: April 7, 2008
Published: June 3, 2008
Lisa Poyneer and Jean-Pierre Véran, "Predictive wavefront control for adaptive optics with arbitrary control loop delays," J. Opt. Soc. Am. A 25, 1486-1496 (2008)