Comparison of vibration mitigation controllers for adaptive optics systems.

Vibrations are detrimental to the performance of modern adaptive optics (AO) systems. In this paper, we describe new methods tested to mitigate the vibrations encountered in some of the instruments of the Gemini South telescope. By implementing a spectral analysis of the slope measurements from several wavefront sensors and an imager, we can determine the frequencies and magnitude of these vibrations. We found a persistent vibration at 55 Hz with others occurring occasionally at 14 and 100 Hz. Two types of AO controllers were designed and implemented, Kalman and H∞, in the multiconjugate AO tip-tilt loop. The first results show a similar performance for these advanced controllers and a clear improvement in vibration rejection and overall performance over the classical integrator scheme. It is shown that the reduction in the standard deviation of the residual slopes (as measured by wavefront sensors) is highly dependent on turbulence, wind speed, and vibration conditions, ranging--in terms of slopes RMS value--from an almost negligible reduction for high speed wind to a factor of 5 for a combination of low wind and strong vibrations.

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

[2]  Armando Riccardi,et al.  Observer-Based Control Techniques for the LBT Adaptive Optics under Telescope Vibrations , 2011, Eur. J. Control.

[3]  Enrico Fedrigo,et al.  High performance adaptive optics system with fine tip/tilt control , 2009 .

[4]  M. Lombini,et al.  The Gemini MCAO System GeMS: nearing the end of a lab-story , 2010, Astronomical Telescopes + Instrumentation.

[5]  G Rousset,et al.  Modal prediction for closed-loop adaptive optics. , 1997, Optics letters.

[6]  Eric Gendron,et al.  Astronomical adaptive optics. I. Modal control optimization. , 1994 .

[7]  Jean-Marc Conan,et al.  On the optimal reconstruction and control of adaptive optical systems with mirror dynamics. , 2010, Journal of the Optical Society of America. A, Optics, image science, and vision.

[8]  J. Conan,et al.  Wave-front temporal spectra in high-resolution imaging through turbulence , 1995 .

[9]  Aaas News,et al.  Book Reviews , 1893, Buffalo Medical and Surgical Journal.

[10]  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.

[11]  Bassam Bamieh,et al.  A general framework for linear periodic systems with applications to H/sup infinity / sampled-data control , 1992 .

[12]  L. Poyneer,et al.  Evaluation of the T/T Conditions at Gemini South using NICI AO Telemetry Data , 2010 .

[13]  Francois Rigaut,et al.  Kalman and H-infinity controllers for GeMS , 2011 .

[14]  T. Fusco,et al.  NAOS performances: impact of the telescope vibrations and possible origins , 2004 .

[15]  F. Rigaut,et al.  Methods for correcting tilt anisoplanatism in laser-guide-star-based multiconjugate adaptive optics. , 2001, Journal of the Optical Society of America. A, Optics, image science, and vision.

[16]  P. Khargonekar,et al.  State-space solutions to standard H2 and H∞ control problems , 1988, 1988 American Control Conference.

[17]  M. Safonov,et al.  Simplifying the H∞ theory via loop-shifting, matrix-pencil and descriptor concepts , 1989 .

[18]  Joseph R. Maly,et al.  Vibration suppression for the Gemini Planet Imager , 2010, Astronomical Telescopes + Instrumentation.

[19]  P. Khargonekar,et al.  State-space solutions to standard H/sub 2/ and H/sub infinity / control problems , 1989 .

[20]  Caroline Kulcsar,et al.  Tip-tilt disturbance model identification for Kalman-based control scheme: application to XAO and ELT systems. , 2010, Journal of the Optical Society of America. A, Optics, image science, and vision.

[21]  C. Kulcsár,et al.  Optimal control law for classical and multiconjugate adaptive optics. , 2004, Journal of the Optical Society of America. A, Optics, image science, and vision.

[22]  Bassam Bamieh,et al.  A General Framework for Linear Periodic Sampled-Data Control Systems with Applications to , 1992 .

[23]  C. Mohtadi Bode's integral theorem for discrete-time systems , 1990 .

[24]  Thierry Fusco,et al.  First laboratory demonstration of closed-loop Kalman based optimal control for vibration filtering and simplified MCAO , 2006, SPIE Astronomical Telescopes + Instrumentation.

[25]  David Mouillet,et al.  NACO performance: status after 2 years of operation , 2004, SPIE Astronomical Telescopes + Instrumentation.