The leader-following consensus of multi-agent systems is analyzed,where the dynamic of each agent is modeled by a fractional-order singular linear system in this paper.A new control protocol is designed based on the information of outputs.A sufficient condition of leader-following consensus is derived through some proof.Furthermore,the consensus condition is expressed by LMI via singular value decomposition technique (SVD).When the communication topology is assumed to be an undirected graph,the consensus condition is simplified as several simple LMIs.A simulation example is given to show how to solve feedback gain.It can be seen that the results in the paper are correct and effective from the pictures.