State-of-the-art of the field related to control of chaotic systems is surveyed.b Several major branches of research are discussed: feedforward ("nonfeedback") control, "OGY method", "Pyragas method", traditional for control engineering methods of nonlinear and adaptive control. A new solution to the problem of angular velocity stabilization for the spinning spacecraft is suggested. Numerical simulation results are presented showing efficiency and robustness of the speed-gradient control strategy for suppression of possible chaotic motion of the spacecraft.