An analysis is presented of the motion of a single axis rate gyroscope mounted in a space vehicle which is simultaneously accelerating and spinning about the output and spin axis, respectively, of the gyro. The time-varying acceleration and deceleration omegax(-t) and the spin rate omegaz(t) of the vehicle are unknown but bounded functions of time t. It is shown that the motion of the gyro remains bounded if the bound rho2* on the uncertainty in omegaz(t) does not exceed some threshold rho2* and that this threshold depends on the various parameters of the gyro. By a proper selection of the gyro parameters, its motion can be forced to remain in a small neighborhood of the origin in the theta-theta plane after a certain finite interval of time. Analytical relations are derived for the selection of gyro parameters to keep the error in the measurement of the input rate due to omegax and omegaz within any given limit.
Gyro motion boundedness under uncertain vehicle spin and acceleration
Beschraenktheit der Kreiselbewegung bei unbestimmtem Drall und Beschleunigung eines Raumfahrzeuges
IEEE Transactions on Aerospace and Electronic Systems ; AES-20 , 2 ; 119-127
1984
9 Seiten, 14 Quellen
Aufsatz (Zeitschrift)
Englisch