Physics – Optics
Scientific paper
Dec 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990wpaf.rept.....v&link_type=abstract
M.S. Thesis Air Force Inst. of Tech., Wright-Patterson AFB, OH.
Physics
Optics
Adaptive Optics, Control Systems Design, Controllers, Linear Quadratic Gaussian Control, Telescopes, Computerized Simulation, Electric Potential, Kalman Filters, Linear Quadratic Regulator, Mirrors, Piezoelectricity, Random Noise, White Noise
Scientific paper
This thesis considers the design of a linear quadratic Gaussian (LQG) controller for a ground-based adaptive-optics telescopes. The incoming aberrated image is reflected from a 97-element piezoelectric mirror, then measured with a Hartmann-type wavefront sensor. A Kalman filter processes the outputs of the wavefront sensor and obtains estimates of system states. A linear quadratic regulator processes these state estimates and determines an appropriate set of commands for the deformable mirror. Atmospheric distortion is modeled as a set of fourteen Zernike coefficients whose dynamic behavior is produced by excitation of a set of shaping filters by zero-mean Gaussian white noise. The response of the mirror to control voltages is modeled as a set of Zernike coefficients whose dynamics are modeled as deterministic first-order systems. The entire control system is simulated using the multimode simulation for optimal filter evaluation (MSOFE) software.
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