研究了通信通道增益受到外界幅值有限干扰的多智能体系统趋同问题.设计了一个分布式线性状态反馈趋同算法以确保多智能体系统的趋同.通过定义新的状态,将多智能体系统的趋同转化为验证一个降阶系统的稳定性.推出确保多智能体系统趋同的线性矩阵不等式条件,并且通过解两个线性矩阵不等式设计反馈增益矩阵.最后,仿真证明了趋同算法的可行性. The convergent problem of multi-agent systems whose communication channel gain is limited by the external amplitude is studied. A distributed linear state feedback convergence algorithm is designed to ensure the convergence of multi-agent systems. By defining a new state, Convergence is transformed to verify the stability of a reduced order system. The condition of linear matrix inequality to ensure the convergence of multi-agent systems is introduced and the feedback gain matrices are designed by solving two linear matrix inequalities. Finally, the simulation proves the feasibility of convergence algorithm.