The possibility of designing of combined energy-economy control of a freeflying robotic module which may be used as a transport unit at its flight near by a manned orbital station is considered. The effect of fuel consumption economy for control is attained at the expense of the stabilization of the module’s main body angular position with the help of a motion ’exchange” between the module’s main body and the manipulator’s links which are turned by their arm actuators. The control algorithms were suggested and the dynamics of functioning of all interacting module’s combined control subsystems was investigated. The mathematical simulation was fulfilled with taking into consideration nonlinear properties of Lagrange module’s equations and nonlinear characteristics of the control subsystem’s elements.