Abstract
This paper studies a decentralized control of space structure which is constructed in orbit by connecting a new module to an already existing structure. For such an expanding system, it is practical to design only the local controller of the new module so as to stabilize the system at the connecting instance, without changing the existing system. To this end, we propose a design procedure in μ synthesis framework by using a descriptor equation as well as a state equation. Then, their efficiencies are illustrated and compared by a numerical example where two flexible modules are connected through a flexible joint which has uncertain parameters.