Gyro Motion Boundedness Under Uncertain Vehicle Spin and Acceleration
Document Type
Article
Publication Date
3-1984
Publication Title
IEEE Transactions on Aerospace and Electronic Systems
Volume
AES-20
Issue
2
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.
Disciplines
Aerospace Engineering | Electrical and Computer Engineering | Engineering
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, AES-20(2),
119-127.