Derivation of line-of-sight stabilization equations for gimbaled-mirror optical systems

摘要

Abstract: The gimbaled flat steering mirrors commonly used for pointing the outgoing line-of-sight of optical systems can also be driven to stabilize the line-of-sight, effectively isolating it from vehicle base motion. The stabilization equations provide the relative rates of the gimbal angles as functions of the angular velocity of the base. These equations are of use in feed-forward stabilization systems. Two algorithmic methods of deriving the stabilization equations are presented. These methods are distinguished from others by their use of a kinematic reference frame that is attached to the line-of-sight. The first method is completely general and can be applied to any system. The second is limited to systems of a specific configuration, but allows direct generation of uncoupled stabilization equations. Analysis of an aerial photography system is presented as an example. !8