Hierarchically Decentralized Control for Networked Dynamical Systems with Global and Local Objectives

Abstract

This article deals with hierarchically decentralized control structure for large-scaled dynamical networked systems by aggregation. Our main idea to clarify the trade-off and the role-sharing of the global and the local controllers is to introduce a model set named “Global/Local Shared Model Set,” which should be taken in both the global and local cites. We set up a fairly general framework and derive the global and local control problems. We then clarify the trade-off through the size of the model set and demonstrate it by a simple example.