Stochastic stabilization of the rotational motion of a rigid body using rotors

This paper discusses the control of the rotational motion of a rigid body w ith a fixed point under the effect of small white Gaussian noises using int ernal rotors. The stochastic control laws ensuring the tendency of the stoc hastic motion to the unperturbed motion and to the programmed motion are de termined as non-linear function of the variables describing the stochastic and programmed motions. The chosen programmed control law ensures the asymp totic stability with probability one. An estimation of the angular velocity tending to the programmed motion is found. (C) 2001 Elsevier Science Ltd. All rights reserved.