This paper addresses the consensus of a class of uncertain nonlinear fractional-order multi-agent systems (FOMAS). First a fractional non-fragile dynamic output feedback controller is put forward via the output measurements of neighboring agents, then appropriate state transformation reduced the consensus problem to a stability one. A sufficient condition based on direct Lyapunov approach, for the robust asymptotic stability of the transformed system and subsequently for the consensus of the main system is presented. Additionally, utilizing S-procedure and Schur complement, the systematic stabilization design algorithm is proposed for fractional-order system with and without nonlinear term. The results are formulated as an optimization problem with linear matrix inequality constraints. Simulation results are given to verify the effectiveness of the theoretical results.

翻译：本文件论述一组不确定的非线性分级多剂系统(FOMAS)的共识。首先,通过对邻近物剂的输出测量,提出一个分数的非脆弱动态输出反馈控制器,然后通过适当的国家转换,将共识问题降低到稳定状态。根据直接的Lyapunov方法,提出一个充分的条件,使经过转变的系统保持稳健的无症状稳定,随后又使主系统取得共识。此外,利用S-程序性和Schur补充,为分数-顺序系统提出了系统的稳定设计算法,有的和非线性术语,有的则无分数-分数动态输出反馈控制器。结果作为优化问题,有线性矩阵不平等限制。模拟结果是为了核查理论结果的有效性。