Optimal and adaptive control of aero-optical wavefronts for adaptive optics.

This paper compares two control methods to predict and correct aero-optical wavefronts derived from recent flight-test data. The first is an optimal linear time-invariant controller constructed from an identified state-space model of the turbulence flow. The second control method is an adaptive controller based on a recursive least-squares lattice filter. The performance of these control schemes versus classical integrator methods is investigated in an adaptive optics experiment that reproduces the aberrations from in-flight measurements of aero-optical turbulence. Experimental results show the improvement in wavefront correction achieved by both prediction methods. Altering the flow characteristics of the disturbance wavefront during the control process illustrates the ability of the adaptive controller to track changes in the aberration statistics.

[1]  Jonathan Tesch High-Performance Control and Prediction for Adaptive Optics , 2011 .

[2]  Steve Gibson,et al.  Adaptive control in an adaptive optics experiment. , 2010, Journal of the Optical Society of America. A, Optics, image science, and vision.

[3]  Michel Verhaegen,et al.  A Data-Driven ${\cal H}_{2}$ -Optimal Control Approach for Adaptive Optics , 2008, IEEE Transactions on Control Systems Technology.

[4]  Jean-Marc Conan,et al.  Optimal control, observers and integrators in adaptive optics. , 2006, Optics express.

[5]  N.Y.-N. Chen,et al.  Subspace system identification using a multichannel lattice filter , 2004, Proceedings of the 2004 American Control Conference.

[6]  Steve Gibson,et al.  Optimal and adaptive correction of aero-optical wavefronts in an adaptive optics experiment , 2011, Optical Engineering + Applications.

[7]  B L Ellerbroek,et al.  Adaptive optics: wave-front correction by use of adaptive filtering and control. , 2000, Applied optics.

[8]  E. Jumper,et al.  Fluid dynamics and aero-optics of turrets , 2010 .

[9]  T. Fusco,et al.  Off-axis adaptive optics with optimal control: experimental and numerical validation , 2005, SPIE Optics + Photonics.

[10]  S. Gordeyev,et al.  Physics and Computation of Aero-Optics , 2012 .

[11]  Jean-Marc Conan,et al.  Linear quadratic Gaussian control for adaptive optics and multiconjugate adaptive optics: experimental and numerical analysis. , 2009, Journal of the Optical Society of America. A, Optics, image science, and vision.

[12]  Andrea Masiero,et al.  A multiscale stochastic approach for phase screens synthesis , 2011, Proceedings of the 2011 American Control Conference.

[13]  B. Moor,et al.  Subspace identification for linear systems , 1996 .

[14]  Tsu-Chin Tsao,et al.  Optimal Suppression of Laser Beam Jitter by High-Order RLS Adaptive Control , 2008, IEEE Transactions on Control Systems Technology.

[15]  Tsu-Chin Tsao,et al.  Frequency-Weighted Minimum-Variance Adaptive Control of Laser Beam Jitter , 2009, IEEE/ASME Transactions on Mechatronics.

[16]  Eric J. Jumper,et al.  Aero-Optical Environment Around a Cylindrical Turret with a Flat Window , 2011 .

[17]  A. Beghi,et al.  A Markov-Random-Field-based approach to modeling and prediction of atmospheric turbulence , 2008, 2008 16th Mediterranean Conference on Control and Automation.

[18]  Shyh-Biau Jiang,et al.  An unwindowed multichannel lattice filter with orthogonal channels , 1995, IEEE Trans. Signal Process..

[19]  W. Southwell Wave-front estimation from wave-front slope measurements , 1980 .

[20]  Tohru Katayama,et al.  Subspace Methods for System Identification , 2005 .

[21]  B. Agrawal,et al.  Beam control and a new laboratory testbed for adaptive optics in a maritime environment , 2010, 2010 IEEE Aerospace Conference.

[22]  Yu-Tai Liu,et al.  Adaptive control in adaptive optics for directed-energy systems , 2007 .

[23]  Michel Verhaegen,et al.  Exploiting the spatiotemporal correlation in adaptive optics using data-driven H2-optimal control. , 2007, Journal of the Optical Society of America. A, Optics, image science, and vision.

[24]  Justin D. Mansell,et al.  Temporal and spatial characterization of polymer membrane deformable mirrors , 2009, Optical Engineering + Applications.

[25]  Michel Verhaegen,et al.  Fast reconstruction and prediction of frozen flow turbulence based on structured Kalman filtering. , 2010, Journal of the Optical Society of America. A, Optics, image science, and vision.

[26]  Michel Verhaegen,et al.  A Data-Driven 2-Optimal Control Approach for Adaptive Optics , 2008 .

[27]  Brent L. Ellerbroek,et al.  Real-time adaptive optimization of wavefront reconstruction algorithms for closed-loop adaptive optical systems , 1998, Astronomical Telescopes and Instrumentation.

[28]  Troy A. Rhoadarmer,et al.  Adaptive control and filtering for closed-loop adaptive-optical wavefront reconstruction , 2006, SPIE Optics + Photonics.

[29]  V. Verdult,et al.  Filtering and System Identification: A Least Squares Approach , 2007 .

[30]  Andrea Masiero,et al.  Stochastic realization approach to the efficient simulation of phase screens. , 2008 .