Global radius of curvature estimation and control system for...

Optics: measuring and testing – Lens or reflective image former testing – Focal length measuring

Reexamination Certificate

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C359S848000, C359S849000

Reexamination Certificate

active

07050161

ABSTRACT:
An apparatus controls positions of plural mirror segments in a segmented mirror with an edge sensor system and a controller. Current mirror segment edge sensor measurements and edge sensor reference measurements are compared with calculated edge sensor bias measurements representing a global radius of curvature. Accumulated prior actuator commands output from an edge sensor control unit are combined with an estimator matrix to form the edge sensor bias measurements. An optimal control matrix unit then accumulates the plurality of edge sensor error signals calculated by the summation unit and outputs the corresponding plurality of actuator commands. The plural mirror actuators respond to the actuator commands by moving respective positions of the mirror segments. A predetermined number of boundary conditions, corresponding to a plurality of hexagonal mirror locations, are removed to afford mathematical matrix calculation.

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John Rakoczy et al., “Global Radius-of-Curvature Estimation and Control for the Hobby-Eberly Telescope,” Proceedings of the SPIE, 4837-79 ed., p. 681-692, (Aug. 22, 2002).

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