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15 February 2007The open-loop control of MEMS: modeling and experimental results
As adaptive optics (AO) technology progresses, both wide-field and high-order wavefront correction systems become
reachable. Deformable mirrors (DMs) in these advanced architectures must exhibit exemplary performance
to give low wavefront error. Such DMs must be economically attainable, meet stroke as well as flatness requirements,
and show stable and repeatable actuation. Micro-electrical mechanical systems (MEMS) deformable
mirrors, undergoing testing and characterization in the Laboratory for Adaptive Optics (LAO) at the University
of California at Santa Cruz, show promise on these fronts. In addition to requiring advanced deformable mirror
technology, these progressive AO architectures require advanced DM control algorithms. We therefore present
a formulation for accurate open-loop control of MEMS deformable mirrors. The electrostatic actuators in a
discrete-actuator MEMS device are attached via posts to a thin reflective top plate. The plate itself can be
well-modeled by the thin plate equation. The actuators, although nonlinear in their response to applied voltage
and deformation, are independent of each other except through forces transmitted by the top plate and can be
empirically modeled via a calibration procedure we will describe. In this paper we present the modeling and
laboratory results. So far in the lab we have achieved open loop control to approximately 15 nm accuracy in response to arbitrary
commands of approximately 500 nm amplitude. Open-loop control enables a wealth of new applications for astronomical
adaptive optics instruments, particularly in multi-object integral field spectroscopy, which we will describe.
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Katie M. Morzinski, Kennet B. W. Harpsøe, Don T. Gavel, S. Mark Ammons, "The open-loop control of MEMS: modeling and experimental results," Proc. SPIE 6467, MEMS Adaptive Optics, 64670G (15 February 2007); https://doi.org/10.1117/12.710428