The method of 'equivalent linearization' for robust non-linear attitude control of asymmetric solid

摘要

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 are based on the "equivalent linearization" of nonlinear conflict-control systems, are 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.