Synthesis of the decentralized robust servomechanism problem using local models

This paper is concerned with the solvability and controller synthesis of the robust servomechanism problem for a decentralized system subject to the constraint that each control agent of the system possesses only a limited knowledge of the model of the system to be regulated, i.e., typically, each agent of a large-scale system possesses only a local model of the system, which may be different from each other and generally is incomplete. The question to be asked then is: given that each control agent does not possess a model of the complete large-scale system to be regulated, but only a partial model of the complete system, and given that there exists no central decision making authority, to what extent can one solve the decentralized robust servomechanism problem for the system in a sequential stable way [1]? It will be shown that there exists a solution to this decentralized synthesis problem if and only if there exists a solution to the decentralized robust servomechanism problem. A constructive algorithm for synthesizing a controller to solve this decentralized problem in this case is given. Some simple numerical examples are given to illustrate the results.