H2 Suboptimal Output Synchronization of Heterogeneous Multi-Agent Systems

TL;DR

This paper presents a method for designing output feedback protocols that ensure output synchronization in heterogeneous multi-agent systems while keeping the H2 cost below a specified threshold.

Contribution

It introduces a novel design approach for H2 suboptimal output synchronization protocols using Riccati inequalities for heterogeneous agents.

Findings

Protocols successfully achieve output synchronization.

The H2 cost remains below the specified upper bound.

The method is validated through a simulation example.

Abstract

This paper deals with the H2 suboptimal output synchronization problem for heterogeneous linear multi-agent systems. Given a multi-agent system with possibly distinct agents and an associated H2 cost functional, the aim is to design output feedback based protocols that guarantee the associated cost to be smaller than a given upper bound while the controlled network achieves output synchronization. A design method is provided to compute such protocols. For each agent, the computation of its two local control gains involves two Riccati inequalities, each of dimension equal to the state space dimension of the agent. A simulation example is provided to illustrate the performance of the proposed protocols.