In the field of teleoperations, visual or haptic information is utilized in order to obtain the situation at a remote side. Conventionally, various teleoperations have been constructed and are mainly based on visual information. However, tactile sensation which is important information when devices are in contact with environment is not able to be obtained with this approach. To tackle this problem, research on haptic transmission in the real-world by using a bilateral control has been attracting attention. For transmitting haptic information, a master-slave system should be constructed. As for the configuration, it does not always the same structure. From this point of view, teleoperation systems are classified into two types of systems. One is a fixed type system and the other is a mobile type system. Particularly, this paper focuses on the latter type system which has the characteristic that the synchronization must be attained between the different types of signals with regard to the dimension (e.g. between position and velocity) while the force transmission is also realized. In response to this requirement, a bilateral control with dimensional scaling on the basis of modal decomposition was proposed. However, the structures of controllers in the modal space have not been fully analyzed. Therefore, this paper clarifies the design procedure of the bilateral control with dimensional scaling taking into account the interference between the common and differential modes. Experimental results show the validity of the controller design.