On Compactifications of Decentralized Output Feedback Spaces

Abstract

Decentralized control is often applied to large-scale systems, e.g. power systems, socioeconomic systems, etc. For such systems, centralized control may be impractical or uneconomical. So we need to study the decentralized control of such systems. In decentralized control, the whole system is controlled by several local controllers. Each controller observes only local system outputs and controls only local inputs. The decentralized control of linear systems has been studied by many authors. There are two major results about the decentralized stabilization and decentralized pole assignment. Wang and Davison [4] proved that decentralized stabilization using local dynamic feedback is possible if and only if the fixed modes are stable. Corfomat and Morese [2] proved that a strongly connected system can be made controllable and observable through a single channel by applying local static feedback to all other channels if and only if the set of fixed modes is empty. Thus the poles of such system can be freely assigned by applying local dynamic feedback to one channel and local static feedback to all other channels.