Asymptotically Stable Motions of Gyro in a Spinning Vehicle

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An analysis of the motion of a single-axis rate gyroscope mounted in a space vehicle which is spinning with uncertain constant angular velocity xz about the spin axis of the gyro is presented. The nonlinearity in the equation of motion of the gimbal is retained. Using the Lyapunov approach, regions are obtained in the k-xz plane where k is the torsional spring constant, for asymptotic stability and for global asymptotic stability, and an estimate of the region of stability in state space is presented. Analytical relations for the selection of the gyro parameters are derived.


Angular velocity; Asymptotic stability; Gyroscopes; Motion analysis; Nonlinear equations; Space vehicles; Spinning; Springs; State estimation; State-space methods


Aerodynamics and Fluid Mechanics | Aerospace Engineering | Controls and Control Theory | Electrical and Computer Engineering | Electrical and Electronics | Multi-Vehicle Systems and Air Traffic Control | Power and Energy | Structures and Materials | Systems and Communications


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