This paper presents the logic-functional control system of dynamic object. As a dynamic object, we considered flying robot called quadcopter that must move along the spatial trajectory and fly around built obstacles. The feature of the problem is that the control system includes two subsystems. The first control subsystem provides continuous control actions on the control object in order to achieve the goal and ensure the quality. The second subsystem provides a mode decision making or selection of target points. To solve the synthesis problem of the logic-functional control is used the network operator method.