In this paper, the practical mean-square scaled-consensus problem of multiagent systems is studied. Higher-order general linear dynamics is investigated, where all agents are subject to faults or denial of service attacks (DoS). The considered network comprises agents taking quantised states under undirected communication channels. Different from the existing works, no strict conditions have been imposed on the eigenvalues of the agents' state matrix. First, we propose a distributed scaled-consensus protocol that utilises a probabilistic quantisation algorithm. Second, scaled-disagreement analysis is provided via mean-square stability methodology. Finally, sufficient conditions in terms of linear matrix inequalities are presented in order to obtain scaled-consensus gain for both leaderless and leader–follower cases. The presented theoretical results are examined through two simulation examples.

本文研究了多智能体系统的实际均方缩放共识问题。研究了高阶一般线性动力学，其中所有代理都遭受故障或拒绝服务攻击（DoS）。所考虑的网络包括在无向通信信道下采取量化状态的代理。与现有工作不同，没有对代理商状态矩阵的特征值施加严格的条件。首先，我们提出了一种利用概率量化算法的分布式比例一致协议。其次，通过均方稳定性方法提供了规模差异分析。最后，给出了关于线性矩阵不等式的充分条件，以便获得无领导者和领导者跟随者情况下的比例一致增益。