Loop transfer recovery design for synchronization of homogeneous linear multi-agent systems

Abstract

In this paper we propose the use of loop transfer recovery procedure in the context of cooperative control to aid the design of output feedback synchronization controllers with desirable performance characteristics. It is shown that, for a certain class of linear multi-agent systems, an upper bound on the singular values of the sensitivity matrix for the global networked system can be related to the dynamics of a classical single-system Kalman filter. A numerical example is presented to illustrate the main conclusions of this paper.