Gain-scheduled synchronization of parameter varying systems via relative $H_\infty$ consensus with application to synchronization of uncertain bilinear systems

TL;DR

This paper introduces a gain-scheduled synchronization protocol for uncertain parameter-varying multi-agent systems, ensuring $H_ abla$ transient consensus and applying it to uncertain bilinear systems.

Contribution

It develops a novel gain-scheduled synchronization method with $H_ abla$ consensus guarantees for parameter-varying systems, including an application to uncertain bilinear systems.

Findings

Guarantees $H_ abla$ transient consensus between agents.

Provides a continuous gain-scheduling protocol based on interpolation.

Demonstrates effectiveness through application to uncertain bilinear systems.

Abstract

The paper considers a problem of consensus-based synchronization of uncertain parameter varying multi-agent systems. We present a method for constructing consensus-based synchronization protocol schedules for each agent to ensure it synchronizes with a reference parameter-varying system. The proposed protocol guarantees a specified level of $H_\infty$ transient consensus between the agents. The algorithm uses a consensus-preserving interpolation and produces continuous (in the scheduling parameter) coefficients for the protocol. An application to synchronization of uncertain bilinear systems is discussed.