Development of mirror stabilization line-of-sight rate equations for an unconventional sensor-to-gimbal orientation

J. M. Hilkert; Steve Cohen

doi:10.1117/12.818805

4 May 2009 Development of mirror stabilization line-of-sight rate equations for an unconventional sensor-to-gimbal orientation

J. M. Hilkert, Steve Cohen

Author Affiliations +

Proceedings Volume 7338, Acquisition, Tracking, Pointing, and Laser Systems Technologies XXIII; 733803 (2009) https://doi.org/10.1117/12.818805
Event: SPIE Defense, Security, and Sensing, 2009, Orlando, Florida, United States

Abstract

Conventional mirror line-of-sight stabilization approaches, such as the heliostat and coleostat, are configured such that the sensor input line-of-sight is always oriented parallel to a gimbal axis. While provisions must be made to accommodate the inherent two-to-one mirror kinematics in these approaches, the resulting angular rates orthogonal to the line-of-sight are linear functions of the angular rates of the gimbals and of the base to which the sensor and gimbals are attached, and they are un-coupled such that the two orthogonal line-of-sight axes can be controlled independently. If, however, the sensor and gimbal cannot be oriented such that the sensor input line-of-sight is parallel to one of the gimbal axes, the line-of-sight angular rate kinematics become non-linear and coupled. The purpose of this paper is to present the development of the angular rate kinematic equations for such a system. The angular rate equations which result are coupled and non-linear but account for the line-of-sight motion caused by both the angular motion of the gimbals and the angular motion of the base and thus can be used to inertially stabilize and point the line-of-sight about two orthogonal axes using measurements from the two gimbal angle transducers and three orthogonal gyros.

Citation Download Citation

J. M. Hilkert and Steve Cohen "Development of mirror stabilization line-of-sight rate equations for an unconventional sensor-to-gimbal orientation", Proc. SPIE 7338, Acquisition, Tracking, Pointing, and Laser Systems Technologies XXIII, 733803 (4 May 2009); https://doi.org/10.1117/12.818805

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