Stability of Gyro with Harmonic Nonlinearity in Spinning Vehicle

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IEEE Transactions on Aerospace and Electronic Systems, ISSN: 0018-9251, Vol: AES-19, Issue: 2, Page: 182-189

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Singh, Sahhjendra N.
Institute of Electrical and Electronics Engineers (IEEE)
Engineering; Angular velocity; Asymptotic stability; Extraterrestrial measurements; Gyroscopes; Nonlinear equations; Space vehicles; Spinning; Stability analysis; State-space methods; Transfer functions; Aerospace Engineering; Astrodynamics; Controls and Control Theory; Electrical and Computer Engineering; Electrical and Electronics; Electronic Devices and Semiconductor Manufacturing; Multi-Vehicle Systems and Air Traffic Control; Navigation, Guidance, Control and Dynamics; Power and Energy; Signal Processing; Structures and Materials; Systems and Communications
article description
A stability analysis of a single-axis rate gyroscope mounted in a space vehicle which is spinning with uncertain angular velocitv o about the spin axis of the gyro is presented. The complete nonlinear equation of motion, which includes the fundamental and second harmonic nonlinear terms, arising due to, is considered. For time-varying wjt), using the circle criterion, it is shown that the gimbal motion is globally asymptotically stable if the Nyquist plot of the linear transfer function of the gyro lies in the interior of a certain disk. For the case of uncertain constant to, using the Lyapunov approach, conditions for global asymptotic stability (GAS) and asymptotic stability are derived. Stable regions in parameter space of the gyro and state space are obtained. Analytical relations for the selection of gyro parameters are derived. Copyright © 1983 by The Institute of Electrical and Electronics Engineers, Inc.