Equations of motion for a two-axes gimbal system

Author

Ekstrand, B.

Author_Institution

Ekelundsvagen 22, Saro, Sweeden

Volume

37

Issue

3

fYear

2001

fDate

7/1/2001 12:00:00 AM

Firstpage

1083

Lastpage

1091

Abstract

Equations of motion for the two-axes yaw-pitch gimbal configuration are discussed on the assumption that the gimbals are rigid bodies and have no mass unbalance. The equations are derived and different terms are brought together into separate groups for the sake of clarity and to facilitate certain interpretations. Different kinds of disturbances and their elimination or reduction are discussed, as is the yaw gain dependence on the pitch angle. Inertia cross couplings are also given. The purpose is twofold: to simplify the picture of the two-axes gimbals and to further illustrate the properties of this configuration.

Keywords

angular velocity control; attitude control; gyroscopes; inertial systems; kinematics; pointing systems; stability criteria; Lagrange equations; angular velocity; disturbances reduction; equations of motion; gyro signals; inertia cross couplings; loop gain; moment equations; pitch angle; reference frames; rigid bodies; two-axes gimbal system; yaw gain dependence; yaw-pitch gimbal configuration; Differential equations; Image sensors; Infrared sensors; Laser radar; Laser stability; Optical attenuators; Optical feedback; Optical sensors; Radar applications; Sensor systems;

fLanguage

English

Journal_Title

Aerospace and Electronic Systems, IEEE Transactions on

Publisher

ieee

ISSN

0018-9251

Type

jour

DOI

10.1109/7.953259

Filename

953259