Distributed $H_{\infty}$ Edge Weight Synthesis for Cooperative Systems

Abstract

This paper studies distributed edge weight synthesis of a cooperative system for a fixed topology to improve $H_{\infty}$ performance, considering that disturbances are injected at interconnection channels. This problem is cast into a linear matrix inequality problem by replacing original cooperative system with an equivalent ideal cooperative system. Derivations of the method relies on dissipative system framework. Proposed method provides an upper bound for the induced $\mathcal{L}_{2}$ norm of the original lumped cooperative system while reducing the computation time. A comparison for computation time illustrates the advantage of the proposed method against the lumped counterpart.