Gain-scheduled synchronization of parameter varying systems via relative $H_{\infty }$ consensus with application to synchronization of 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.

Accepted for publication in Automatica

References in corpus (1)

• Distributed robust estimation over randomly switching networks using $H_{\infty }$ consensus

Cited by in corpus (4)

• Robust Detection of Biasing Attacks on Misappropriated Distributed Observers via Decentralized $H_{\infty }$ synthesis
• Detection and Mitigation of Biasing Attacks on Distributed Estimation Networks
• Cooperative Robust Estimation with Local Performance Guarantees
• Gain-scheduled Leader-follower Tracking Control for Interconnected Parameter Varying Systems