Output Regulation of a Networked Dynamic System

Abstract

This paper investigates conditions for the existence of a controller such that a networked system can track a prescribed type of signals and/or reduce influences of a certain type of disturbances, in which the system matrices of each subsystem are described by an LFT of its first principe parameters. Results on the controllability/observability of networked systems have been extended. Some explicit relations have been established between the feasibility of signal tracking/disturbance rejection and subsystem parameters/connections. A rank based condition is established in which the associated matrix affinely depends on subsystem parameters and connections. An attractive property of this condition is that all the involved numerical computations are performed on each subsystem independently, which makes the condition verification scalable for large scale networked systems. In addition, the explicit expression for the dependence of the condition associated matrix on subsystem parameters and connections may be helpful in system topology design and parameter selections.