Analysis and synthesis of decentralized systems with informational connection

This paper presents a design method of decentralized systems with informational connection. The informational connection in this paper denotes an event link which establishes a signal link among physical controlled plants via communication network. A dynamic transition of informational connection among decentralized systems is considered and the mathematical structures are discussed using a concept of eigenvalues and eigen-connections over the Galois field GF(2). The global system has variable structure characteristics due to the transition of informational connection. One example of a decentralized realization of sliding mode control is shown. In an industry field, there are many engineering systems which have dynamic transition of informational connection. The mathematical model proposed in this paper will be useful for analysis and synthesis of various informationally connected systems.