The problem of generalizing the method of analytical construction of aggregated regulators to the case of controlling a poorly formalized object on manifolds under the condition of uncertainty is considered. A comparative overview of the conditions of applicability of two methods for the control on manifolds is given, and the property of robustness of these methods is illustrated. An algorithm for the synthesis of a control system for a multidimensional nonlinear object with incomplete information about the right sides of the description based on the principles of synergetic control theory is given. The results of numerical simulation of the operation of the regulator constructed under off-design conditions (with additive random noise) are obtained.