27 September 2016 Control of deformable mirrors including a nonlinear modal model for air gap damping
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Abstract
In this paper, we present nonlinear pressure dynamics as an extension to a linear distributed parameters model of a deformable mirror. The original, undamped model is recalled and measurement results are shown supporting the need for a damping model which includes the pressure dynamics of the air gap behind the mirror membrane. We will derive the damping coefficients to match our measurement results. Based on the mew model, we will derive a modal feedforward and feedback control law for 88 actuators based on only 3 position sensors and show simulation results to support the algorithm's effectiveness.
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Michael Böhm, Oliver Sawodny, "Control of deformable mirrors including a nonlinear modal model for air gap damping", Proc. SPIE 9953, Optical Modeling and Performance Predictions VIII, 995303 (27 September 2016); doi: 10.1117/12.2237839; https://doi.org/10.1117/12.2237839
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