H_\infty Almost Output and Regulated Output Synchronization of Heterogeneous Multi-agent Systems: A Scale-free Protocol Design

TL;DR

This paper introduces a scale-free protocol for achieving H_ almost output and regulated output synchronization in heterogeneous multi-agent systems, regardless of network size or topology, even with external disturbances.

Contribution

It presents a novel, topology-independent protocol design that guarantees synchronization accuracy for any network size without prior network knowledge.

Findings

Protocols work for any network size.

Achieves arbitrary synchronization accuracy.

Does not require network topology or spectrum knowledge.

Abstract

This paper studies scale-free protocol design for H_\infty almost output and regulated output synchronization of heterogeneous multi-agent systems with linear, right-invertible, and introspective agents in presence of external disturbances. The collaborative linear protocol designs are based on localized information exchange over the same communication network, which do not require any knowledge of the directed network topology and spectrum of the associated Laplacian matrix. Moreover, the proposed scale-free protocols achieve H_\infty almost synchronization with a given arbitrary degree of accuracy for any size of the network.