Stability of a Gyro in a Vehicle Spinning with Uncertain Angular Velocity

Document Type

Article

Publication Date

3-1981

Publication Title

IEEE Transactions on Aerospace and Electronic Systems

Volume

AES-17

Issue

3

First page number:

208

Last page number:

212

Abstract

The analysis of a single-axis rate gyroscope mounted in a vehicle which is spinning with uncertain angular velocity about the spin axis of the gyro is presented. The nonlinearity in the equation of motion of the gimbal is retained. Using circle criterion, it is shown that the gimbal motion is globally asymptotically stable if Nyquist plot of the linear transfer function of the gyro lies in the interior of a certain disk. A simple analytical relation for the selection of gyro parameters for stability is derived.

Keywords

Angular velocity; Gyroscopes; Mathematical model; Nonlinear equations; Spinning; Stability analysis; Stability criteria; Transfer functions; Vehicles; Velocity measurement

Disciplines

Aeronautical Vehicles | Aerospace Engineering | Astrodynamics | Controls and Control Theory | Electrical and Computer Engineering | Multi-Vehicle Systems and Air Traffic Control | Navigation, Guidance, Control and Dynamics | Power and Energy | Propulsion and Power | Structures and Materials

Language

English

Permissions

Use Find in Your Library, contact the author, or use interlibrary loan to garner a copy of the article. Publisher copyright policy allows author to archive post-print (author’s final manuscript). When post-print is available or publisher policy changes, the article will be deposited

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