Gyro Motion Boundedness Under Uncertain Vehicle Spin and Acceleration

Authors

Sahjendra N. Singh, University of Nevada, Las VegasFollow

Document Type

Article

Publication Date

3-1984

Publication Title

IEEE Transactions on Aerospace and Electronic Systems

Volume

20

First page number:

119

Last page number:

127

Abstract

An analysis is presented of the motion of a single axis rate gyroscope mounted in a space vehicle, which is simultaneously accelerating and spinning about the output and spin axis, respectively, of the gyro. The time-varying acceleration and deceleration ¿x(t) and the spin rate ¿z(t) of the vehicle are unknown but bounded functions of time t. It is shown that the motion of the gyro remains bounded if the bound ¿*2 on the uncertainty in ¿z(t) does not exceed some threshold ¿*2 and that this threshold depends on the various parameters of the gyro. Furthermore, by a proper selection of the gyro parameters, its motion can be forced to remain in a small neighborhood (called region of ultimate boundedness) of the origin in ¿-¿ plane after a certain finite interval of time for any bounded uncertain ¿x(t) and ¿z(t). Analytical relations are derived for the selection of gyro parameters to keep the error caused in the measurement of the input rate due to ¿x and ¿z within any given limit.

Keywords

Acceleration; Angular velocity; Asymptotic stability; Gyroscopes; Motion analysis; Motion measurement; Space vehicles; Spinning; Uncertainty; Velocity measurement

Disciplines

Aeronautical Vehicles | Aerospace Engineering | Electrical and Computer Engineering | Navigation, Guidance, Control and Dynamics | Power and Energy | Signal Processing | Space Vehicles | Structures and Materials | Systems and Communications

Language

English

Permissions

Use Find in Your Library, contact the author, or interlibrary loan to garner a copy of the item. Publisher policy does not allow archiving the final published version. If a post-print (author's peer-reviewed manuscript) is allowed and available, or publisher policy changes, the item will be deposited.

Repository Citation

Singh, S. N. (1984). Gyro Motion Boundedness Under Uncertain Vehicle Spin and Acceleration. IEEE Transactions on Aerospace and Electronic Systems, 20 119-127.