Scalable distributed H2 controller synthesis for interconnected linear discrete-time systems

Abstract

The current limitation in the synthesis of distributed H 2 controllers for linear interconnected systems is scalability due to non-convex or unstructured synthesis conditions. In this paper we develop convex and structured conditions for the existence of a distributed H 2 controller for discrete-time interconnected systems with an interconnection structure that corresponds to an arbitrary graph. Neutral interconnections and a storage function with a block-diagonal structure are utilized to attain coupling conditions that are of a considerably lower computational complexity compared to the corresponding centralized H 2 controller synthesis problem. The effectiveness and scalability of the developed distributed H 2 controller synthesis method is demonstrated for small- to large-scale oscillator networks on a cycle graph.