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CYBERNETICS AND PHYSICS
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Volume 3, 2014, Number 1
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Energy speed-gradient control of nonlinear satellite oscillations
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Two problems of nonlinear oscillations control for satellite systems are considered. Firstly, a new solution to the problem of angular velocity stabilization for a spinning satellite is suggested. A satellite is assumed to be supplied with a passive inertial energy dissipater in the form of a spring-mass-dashpot and small resistojets. The motion of a satellite is subjected to a combination of a time varying excitation torque and a control torque. The energy-based speed-gradient (SG) control law is proposed. Numerical simulation results for Intelsatâ€“II model are presented showing efficiency of the SG control strategy for suppression of possible chaotic motion.

Secondly, the speed-gradient control method is applied to the excitation of oscillations with given amplitude for towed probe satellite. The modified speed-gradient control law for Hamiltonian systems is used to obtain the control algorithm. Robustness of the system with respect to the changes of satellite model and excitation torque amplitude is established by computer simulations.

CYBERNETICS AND PHYSICS, Vol. 3, No. 1, 2014, 9â€“15.

Secondly, the speed-gradient control method is applied to the excitation of oscillations with given amplitude for towed probe satellite. The modified speed-gradient control law for Hamiltonian systems is used to obtain the control algorithm. Robustness of the system with respect to the changes of satellite model and excitation torque amplitude is established by computer simulations.

CYBERNETICS AND PHYSICS, Vol. 3, No. 1, 2014, 9â€“15.