Modeling and open-loop control of point-actuatied, continuous facesheet deformable mirrors

Physics – Optics

Scientific paper

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Scientific paper

In this paper we present a mathematical model for a point-actuated, continuous facesheet deformable mirror. The model consists of a single partial differential equation for the facesheet coupled with a number of nonlinear algebraic constraints (one constraint per actuator). We also present a nonlinearly constrained quadratic minimization problem whose solution gives the quasi-steady state control for the mirror, given a target wavefront aberration.

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