Reorientation of a solid under conditions of uncertainty

A nonlinear game problem of reorientation of an asymmetric rigid body under uncontrollable disturbances and uncertain parameters is considered. The method for the solution of this problem, which is based on the “equivalent linearization” of nonlinear conflict-control systems, is developed. Direct estimates of disturbance domain that is admissible for reorientation and depend on the given constraints imposed on the controls and the initial position of the body are found