This paper studies the problem of fixed-time output consensus tracking for high-order multi-agent systems (MASs) with directed network topology with consideration of data packet dropout. First, a predictive compensation based distributed observer is presented to compensate for packet dropout and estimate the leader's states. Next, stability analysis is conducted to prove fixed time convergence of the developed distributed observer. Then, adaptive fixed-time dynamic surface control is designed to counteract mismatched disturbances introduced by observation error, and stabilize the tracking error system within a fixed time, which overcomes explosion of complexity problem and singularity problem. Finally, simulation results are provided to verify the effectiveness and superiority of the consensus tracking strategy proposed. The contribution of this paper is to provide a fixed-time distributed observer design method for high-order MAS under directed graph subject to packet dropout, and a novel fixed-time control strategy which can handle mismatched disturbances and overcome explosion of complexity and singularity problem.

中文翻译：

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具有定向网络拓扑和数据包丢失的高阶多代理系统的固定时间输出共识跟踪

本文研究了考虑数据包丢失的定向网络拓扑结构的高阶多智能体系统（MAS）的固定时间输出共识跟踪问题。首先，提出了一种基于预测补偿的分布式观察器，以补偿数据包丢失并估计领导者的状态。接下来，进行稳定性分析以证明所开发的分布式观测器的固定时间收敛性。然后，设计了自适应固定时间动态表面控制系统，以抵消观测误差引起的失配干扰，并在一定时间内稳定跟踪误差系统，克服了复杂性和奇异性问题的爆发。最后，提供仿真结果以验证所提出的共识跟踪策略的有效性和优越性。