Abstract
The current study concerns with the leader-following group consensus issue for discrete-time fractional-order multi-agent systems. The agents are assumed as fractional-order double-integrators. The interconnection among the agents is characterized by a bidirectional fixed graph. By considering some assumptions on the interaction graph, it is proved that leader-following group consensus will be realized if the controller parameters lie in a specific two-dimensional region. In the beginning, the proposed distributed control structure’s ability is evaluated for two groups with two leaders. Then, it is extended to an arbitrary number of groups with an arbitrary number of leaders. Simulation results indicate the efficiency of this distributed control structure.
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