Alexander Y. Aleksandrov - Faculty of Applied Mathematics and Control Processes, Saint Petersburg State University, ۷-۹ Universitetskaya nab., Saint Petersburg, ۱۹۹۰۳۴, Russia‎
Alexey A. Tikhonov - Department of Theoretical and Applied Mechanics, Saint Petersburg State University, ۷-۹ Universitetskaya nab., Saint Petersburg, ۱۹۹۰۳۴, Russia‎

A rigid body forced by a nonstationary perturbing torque with zero mean value is under consideration. The control strategy for attitude stabilization of the rigid body is based on the usage of dissipative and restoring torques. It is assumed that the dissipative torque is linear, while restoring and perturbing torques are purely nonlinear. A theorem on sufficient conditions for asymptotic stability of the body angular position is proved on the basis of the decomposition method, the Lyapunov direct method and the averaging technique. Computer simulation results illustrating the theorem are presented.

Rigid body, triaxial stabilization, Lyapunov function, Decomposition, nonstationary disturbance, Averaging ‎method‎