Distributed Resilient Fixed-Time Control for Cooperative Output Regulation of MASs over Directed Graphs under DoS Attacks

TL;DR

This paper proposes a new distributed resilient fixed-time control method for multi-agent systems that ensures convergence under DoS attacks without requiring symmetry or strong connectivity.

Contribution

It introduces a resilient fixed-time controller that works over directed graphs and does not depend on Laplacian symmetry or detail-balanced conditions.

Findings

Outputs converge to zero in fixed time independent of initial states

Controller is resilient to DoS attacks in directed graph settings

Simulation confirms effectiveness of the proposed method

Abstract

This paper addresses the problem of fixed-time cooperative output regulation for linear multi-agent systems over directed graphs under denial-of-service attacks. A novel distributed resilient fixed-time controller is developed that comprises a distributed resilient fixed-time observer taking general directed graphs into consideration, and a distributed resilient fixed-time control law for each agent. The proposed controller neither depends on Laplacian symmetry nor requires strong connectivity and detail-balanced condition, in contrast to existing distributed resilient fixed-time controllers. Under the proposed controller, the regulated outputs converge to zero in a fixed time with its upper bound independent of the initial states of the multi-agent system. Ultimately, the efficacy of the proposed controller is demonstrated via a simulation example.