Elimination of Decentralized Fixed Modes via Optimal Information Exchange
Numerous real-world systems can be modeled as the interconnected systems consisting of a number of subsystems. The control of an interconnected system is often carried out by means of a set of local controllers, corresponding to the interacting subsystems [1, 2]. It is sometimes assumed that the local controllers can fully communicate with each other in order to elevate their effectiveness over the entire system cooperatively. However, this design technique is often problematic as the required data transmission between two particular local controllers (or equivalently, two subsystems) can be unjustifiably expensive or occasionally infeasible. Consequently, it is normally desired that the local controllers either exchange partial information or act independently of each other. The latter case, where the overall controller consists of a set of isolated local controllers, is referred to as decentralized control in the literature [3, 4, 5]. The control structure in a decentralized control system is, in fact, block-diagonal. It is to be noted that the decentralized control theory has found applications in large space structures, power systems, communication networks, etc. [6, 7, 8, 9]. A wide variety of properties of the decentralized control systems are extensively studied in the literature and different design techniques are proposed [10, 11, 12, 13].
KeywordsBipartite Graph Interconnected System Local Controller Maximal Graph Large Space Structure
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