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Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics

| EXPLORING THE INTERFACE OF LIGHT AND BIOMEDICINE

  • Editors: Andrew Dunn and Anthony Durkin
  • Vol. 8, Iss. 5 — Jun. 6, 2013

Iterative learning control of a membrane deformable mirror for optimal wavefront correction

Aleksandar Haber, Alessandro Polo, Carlas S. Smith, Silvania F. Pereira, Paul Urbach, and Michel Verhaegen  »View Author Affiliations


Applied Optics, Vol. 52, Issue 11, pp. 2363-2373 (2013)
http://dx.doi.org/10.1364/AO.52.002363


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Abstract

We present an iterative learning control (ILC) algorithm for controlling the shape of a membrane deformable mirror (DM). We furthermore give a physical interpretation of the design parameters of the ILC algorithm. On the basis of this insight, we derive a simple tuning procedure for the ILC algorithm that, in practice, guarantees stable and fast convergence of the membrane to the desired shape. In order to demonstrate the performance of the algorithm, we have built an experimental setup that consists of a commercial membrane DM, a wavefront sensor, and a real-time controller. The experimental results show that, by using the ILC algorithm, we are able to achieve a relatively small error between the real and desired shape of the DM while at the same time we are able to control the saturation of the actuators. Moreover, we show that the ILC algorithm outperforms other control algorithms available in the literature.

© 2013 Optical Society of America

OCIS Codes
(090.1000) Holography : Aberration compensation
(230.3990) Optical devices : Micro-optical devices
(150.5495) Machine vision : Process monitoring and control
(110.1080) Imaging systems : Active or adaptive optics

ToC Category:
Imaging Systems

History
Original Manuscript: January 23, 2013
Manuscript Accepted: February 21, 2013
Published: April 10, 2013

Virtual Issues
Vol. 8, Iss. 5 Virtual Journal for Biomedical Optics

Citation
Aleksandar Haber, Alessandro Polo, Carlas S. Smith, Silvania F. Pereira, Paul Urbach, and Michel Verhaegen, "Iterative learning control of a membrane deformable mirror for optimal wavefront correction," Appl. Opt. 52, 2363-2373 (2013)
http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=ao-52-11-2363

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