OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 24 — Nov. 19, 2012
  • pp: 27108–27122

Frequency based design of modal controllers for adaptive optics systems

Guido Agapito, Giorgio Battistelli, Daniele Mari, Daniela Selvi, Alberto Tesi, and Pietro Tesi  »View Author Affiliations


Optics Express, Vol. 20, Issue 24, pp. 27108-27122 (2012)
http://dx.doi.org/10.1364/OE.20.027108


View Full Text Article

Enhanced HTML    Acrobat PDF (957 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

This paper addresses the problem of reducing the effects of wavefront distortions in ground-based telescopes within a “Modal-Control” framework. The proposed approach allows the designer to optimize the Youla parameter of a given modal controller with respect to a relevant adaptive optics performance criterion defined on a “sampled” frequency domain. This feature makes it possible to use turbulence/vibration profiles of arbitrary complexity (even empirical power spectral densities from data), while keeping the controller order at a moderate value. Effectiveness of the proposed solution is also illustrated through an adaptive optics numerical simulator.

© 2012 OSA

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence

ToC Category:
Adaptive Optics

History
Original Manuscript: August 2, 2012
Revised Manuscript: October 12, 2012
Manuscript Accepted: October 14, 2012
Published: November 16, 2012

Citation
Guido Agapito, Giorgio Battistelli, Daniele Mari, Daniela Selvi, Alberto Tesi, and Pietro Tesi, "Frequency based design of modal controllers for adaptive optics systems," Opt. Express 20, 27108-27122 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-24-27108


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. F. Roddier, Adaptive Optics in Astronomy (Cambridge University Press, 1999). [CrossRef]
  2. C. Kulcsár, H.-F. Raynaud, C. Petit, J.-M. Conan, and P. Viaris de Lesegno, “Optimal control, observers and integrators in adaptive optics,” Opt. Express14(17), 7464–7476 (2006). [CrossRef] [PubMed]
  3. C. Petit, J.-M. Conan, C. Kulcsár, H.-F. Raynaud, and T. Fusco, “First laboratory validation of vibration filtering with LQG control law for adaptive optics,” Opt. Express16(1), 87–97 (2008). [CrossRef] [PubMed]
  4. E. Fedrigo, R. Muradore, and D. Zillo, “High performance adaptive optics system with fine tip/tilt control,” Control Eng. Pract.17(1), 122–135 (2009). [CrossRef]
  5. L.A. Poyneer, B.A. Macintosh, and J.-P. Véran, “Fourier transform wavefront control with adaptive prediction of the atmosphere,” J. Opt. Soc. Am. A,24(9), 2645–2660 (2007). [CrossRef]
  6. K. Hinnen, M. Verhaegen, and N. Doelman, “A data-driven H2-optimal control approach for adaptive optics,” IEEE Trans. Control Syst. Technol, 16(3), 381–395 (2008). [CrossRef]
  7. “Adaptive optics control for ground based telescopes,” in Special Issue of the European Journal of Control, Vol. 17, No. 3, J.-M. Conan, C. Kulcsár, and H.-F. Raynaud, eds. (Lavoisier, 2011).
  8. G. Agapito, F. Quiros-Pacheco, P. Tesi, A. Riccardi, and S. Esposito, “Observer-based control techniques for the LBT adaptive optics under telescope vibrations,” Eur. J. Control17(3), 316–326 (2011). [CrossRef]
  9. G. Agapito, S. Baldi, G. Battistelli, D. Mari, E. Mosca, and A. Riccardi, “Automatic tuning of the internal position control of an adaptive secondary mirror,” Eur. J. Control17(3), 273–289 (2011). [CrossRef]
  10. G. Agapito, F. Quiros-Pacheco, P. Tesi, S. Esposito, and M. Xompero, “Optimal control techniques for the adaptive optics system of the LBT,” Proc. SPIE7015, 70153G (2008). [CrossRef]
  11. L. Close, V. Gasho, D. Kopon, J. Males, K.B. Follette, K. Brutlag, A. Uomoto, and T. Hare, “The Magellan telescope adaptive secondary AO system: a visible and mid-IR AO facility,” Proc. SPIE7736, 773605 (2010). [CrossRef]
  12. E. Marchetti, M. Le Louarn, C. Soenke, E. Fedrigo, P.-Y. Madec, and N. Hubin, “ERIS adaptive optics system design,” Proc. SPIE8447, 84473M (2012).
  13. S. Esposito, E. Pinna, F. Quirós-Pacheco, A. Puglisi, L. Carbonaro, M. Bonaglia, V. Biliotti, R. Briguglio, G. Agapito, C. Arcidiacono, L. Busoni, M. Xompero, A. Riccardi, L. Fini, and A. Bouchez, “Wavefront sensor design for the GMT natural guide star AO system,” Proc. SPIE8447, 84471L (2012).
  14. M. Born and E. Wolf, Principles of Optics (Cambridge University Press, Cambridge, U.K, 1980).
  15. C. Dessenne, P.-Y. Madec, and G. Rousset, “Optimization of a predictive controller for closed-loop adaptive optics,” Appl. Optim., 37(21), 4623–4633 (1998). [CrossRef]
  16. E. Gendron and P. Lena, “Modal control optimization,” Astron. Astrophys., 291, 337–347 (1994).
  17. C. Petit, F. Quiros-Pacheco, J.-M. Conan, C. Kulcsár, H.-F. Raynaud, T. Fusco, and G. Rousset, “Kalman filter based control for adaptive optics,” Proc. SPIE5490, 1414–1425 (2004). [CrossRef]
  18. C. Correia, H.F. Raynaud, C. Kulcsar, and J.M. Conan, “Minimum-variance control for astronomical adaptive optics with resonant deformable mirrors,” Eur. J. Control17(3), 222–236 (2011). [CrossRef]
  19. D. P. Looze, M. Kasper, S. Hippler, O. Beker, and R. Weiss, “Optimal compensation and implementation for adaptive optics systems,” Exp. Astron., 15, 67–88 (2004). [CrossRef]
  20. L. A. Poyneer and J.-P. Véran, “Optimal modal Fourier transform wavefront control,” J. Opt. Soc. Am. A,22(2), 1515–1526 (2005). [CrossRef]
  21. B. Le Roux, J.-M. Conan, C. Kulcsár, H.-F. Raynaud, L. Mugnier, and T. Fusco, “Optimal control law for classical and multiconjugate adaptive optics,” J. Opt. Soc. Am. A,21(7), 1261–1276 (2004). [CrossRef]
  22. A. Riccardi, G. Brusa, P. Salinari, D. Gallieni, R. Biasi, M. Andrighettoni, and H. M. Martin, “Adaptive secondary mirrors for the Large Binocular Telescope,” Proc. SPIE4839, 721–732 (2003). [CrossRef]
  23. J. Herrmann, “Phase variance and Strehl ratio in adaptive optics,” J. Opt. Soc. Am. A,9, 2257–2258 (1992). [CrossRef]
  24. R.A. de Callafon and C.E. Kinney, “Robust estimation and adaptive controller tuning for variance minimization in servo systems,” JSME J. Adv. Mech. Des. Syst. Manuf., 4(1), 130–142 (2010). [CrossRef]
  25. J. Doyle, B. Francis, and A. Tannenbaum, Feedback Control Theory (Macmillan Publishing Company, 1992).
  26. A. Karimi and G. Galdos, “Fixed-order H∞ controller design for nonparametric models by convex optimization,” Automatica46, 1388–1394 (2010). [CrossRef]
  27. G. Goodwin, S. Graebe, and M. Salgado, Control System Design (Prentice Hall, 2001).
  28. R. Ragazzoni, “Pupil plane wavefront sensing with an oscillating prism,” J. Mod. Optic.43, 289–293 (1996). [CrossRef]
  29. C. Vérinaud, “On the nature of the measurements provided by a pyramid wave-front sensor,” Opt. Commun.233, 27 – 38 (2004). [CrossRef]
  30. B. L. McGlamery, “Computer simulation studies of compensation of turbulence degraded images,” Proc. SPIE, 74(9), 225–233 (1976). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited