Gyro Motion Boundedness Under Uncertain Acceleration About Vehicle Output Axis

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An analysis of the motion of a single-axis rate gyroscope mounted in a space vehicle which has uncertain time-varying acceleration and deceleration ¿x(t) about the output axis of the gyro is presented. Using a Lyapunov function, a condition for boundedness of the gyro motion is derived. It is shown that by a proper selection of the parameters of the gyro, 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). Analytical relations for the selection of gyro parameters to keep the error caused in the measurement of the input rate due to ¿x within desirable limits are derived.


Acceleration; Angular velocity; Asymptotic stability; Equations; Gyroscopes; Lyapunov method; Motion analysis; Satellites; Space vehicles; Spinning


Aeronautical Vehicles | Aerospace Engineering | Astrodynamics | Controls and Control Theory | Electrical and Computer Engineering | Electrical and Electronics | Navigation, Guidance, Control and Dynamics | Power and Energy | Propulsion and Power | Space Vehicles | Structures and Materials | Systems and Communications


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