$H_{\infty}$ consensus control of fractional-order multi-agent systems over the directed graph

In this paper, the H_∞ consensus of fractional-order multi-agent systems with directed communication graph is investigated. It's the first time to introduce the H_∞ control to investigate the consensus problem of the fractional-order multi-agent systems. In view of Mittag-Leffler stability theory and fractional Lyapunov directed method, a sufficient condition is presented to guarantee all the agents reach consensus with the desired H_∞ performance. Finally, the results are verified by several numerical simulations.