Abstract
System of systems (SoS) is a class of complex systems that views multiple and small independent systems as part of a larger and more complex system. Because designing SoS requires evaluation from the long-term viewpoint, it confronts a large uncertainty. Due to the complexity and uncertainty of the SoS, the behavior of the system may change abruptly, making SoS design difficult. In this paper, the phenomenon that the behavior of the system suddenly changes is defined as discontinuous characteristics. This paper first discusses how difficult it is to handle discontinuous caracteristics of SoS considering the SoS characteristics, then proposes that an approach of robust optimality with partial differential is plausible to sidestep the issue of discontinuous change. A case study of designing a distributed generation (DG) system,which is a typical SoS, in a Japanese dormitory town is demonstrated in order to verify the proposed approach. As a result, we conclude that the proposed method can consider discontinuous characteristics. By using this method, it is possible to support the design of a SoS adaptive to discontinuous change.