Linear parameter varying control for laser tomographic adaptive optics

Linear control schemes such as LQG have proven to be effective at predicting and correcting for atmospheric turbulence in Adaptive Optics (AO) systems. One drawback of these linear schemes is that the control matrices involved must be recomputed when the AO configuration changes in order to maintain a high performance. We explore one such case in LTAO mode, where the scientific target moves continuously along some known trajectory. We propose a Linear Parameter Varying (LPV) solution to this problem which shows promising results in Yao simulations for a 40x40 SHWFS 6 NGS case. The LPV solution provides a greater flexibility in the useful operating region of LTAO, incurring only a modest increase in computational demand.