In this paper, a suitable state feedback sliding mode controller is designed for the singular fractional order multi-agent systems (SFOMASs) with uncertainty, in order to realize the consensus problem of multi-agent. First, the sliding mode of the designed SFOMAS is in the form of singular systems. The criterion for the admissible consensus of sliding mode is given by using linear matrix inequality (LMI), and an adaptive law based on radial basis function neural network (RBFNN) is established to ensure the accessibility of SFOMASs. Then, a special method is studied to make the sliding mode of the designed SFOMAS normalization. A sufficient condition for the stability and consensus of sliding mode is given by using LMI, and an adaptive law based on RBFNN is established to ensure the accessibility of SFOMAS. Finally, two numerical examples show the applicability of the proposed method.

本文针对具有不确定性的奇异分数阶多智能体系统（SFOMASs）设计了一种合适的状态反馈滑模控制器，以实现多智能体的一致性问题。首先，所设计的 SFOMAS 的滑模是奇异系统的形式。采用线性矩阵不等式（LMI）给出滑模可接受一致性的判据，并建立了基于径向基函数神经网络（RBFNN）的自适应律以保证SFOMAS的可访问性。然后，研究了一种特殊的方法来使设计的SFOMAS归一化的滑模。利用LMI给出了滑模稳定性和一致性的充分条件，并建立了基于RBFNN的自适应律来保证SFOMAS的可访问性。最后，