Print Email Facebook Twitter Iterative learning control of a membrane deformable mirror for optimal wavefront correction Title Iterative learning control of a membrane deformable mirror for optimal wavefront correction Author Haber, A. Polo, A. Smith, C.S. Pereira, S.F. Ubach, P. Verhaegen, M. Faculty Mechanical, Maritime and Materials Engineering Department Delft Center for Systems and Control Date 2013-04-10 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. To reference this document use: http://resolver.tudelft.nl/uuid:001f2436-c42d-4788-91bf-b8713c6d99d1 DOI https://doi.org/10.1364/AO.52.002363 Publisher Optical Society of America ISSN 1559-128X Source http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-52-11-2363 Source Applied Optics, 52 (11), 2013 Part of collection Institutional Repository Document type journal article Rights © 2013 Optical Society of America Files PDF Haber_2013.pdf 1.14 MB Close viewer /islandora/object/uuid:001f2436-c42d-4788-91bf-b8713c6d99d1/datastream/OBJ/view