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.

当前的研究涉及离散时间分数阶多主体系统的领导者跟随小组共识问题。代理被假定为分数阶双积分器。代理之间的互连以双向固定图为特征。通过考虑交互作用图上的一些假设，证明了如果控制器参数位于特定的二维区域中，则可以实现领导者跟随组的共识。首先，对具有两个领导者的两个小组评估所提出的分布式控制结构的能力。然后，将其扩展到具有任意数量的领导者的任意数量的组。仿真结果表明了这种分布式控制结构的效率。