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

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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.


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


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


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