Local ensemble transform Kalman filter, a fast non-stationary control   law for adaptive optics on ELTs: theoretical aspects and first simulation   results
  We propose a new algorithm for an adaptive optics system control law, based on the Linear Quadratic Gaussian approach and a Kalman Filter adaptation with localizations. It allows to handle non-stationary behaviors, to obtain performance close to the optimality defined with the residual phase variance minimization criterion, and to reduce the computational burden with an intrinsically parallel implementation on the Extremely Large Telescopes (ELTs). 
Morgan Gray, Cyril Petit, Sergey Rodionov, Marc Bocquet, Laurent   Bertino, Marc Ferrari, Thierry Fusco
astro-ph.IM