Leader-following consensus of discrete-time fractional-order multi-agent systems  

作　　者：Erfan Shahamatkhah Mohammad Tabatabaei 

机构地区：[1]Department of Electrical Engineering, Khomeinishahr Branch, Islamic Azad University

出　　处：《Chinese Physics B》2018年第1期314-321,共8页中国物理B（英文版）

摘　　要：Leader-following consensus of fractional order multi-agent systems is investigated. The agents are considered as discrete-time fractional order integrators or fractional order double-integrators. Moreover, the interaction between the agents is described with an undirected communication graph with a fixed topology. It is shown that the leader-following consensus problem for the considered agents could be converted to the asymptotic stability analysis of a discrete-time fractional order system. Based on this idea, sufficient conditions to reach the leader-following consensus in terms of the controller parameters are extracted. This leads to an appropriate region in the controller parameters space. Numerical simulations are provided to show the performance of the proposed leader-following consensus approach.Leader-following consensus of fractional order multi-agent systems is investigated. The agents are considered as discrete-time fractional order integrators or fractional order double-integrators. Moreover, the interaction between the agents is described with an undirected communication graph with a fixed topology. It is shown that the leader-following consensus problem for the considered agents could be converted to the asymptotic stability analysis of a discrete-time fractional order system. Based on this idea, sufficient conditions to reach the leader-following consensus in terms of the controller parameters are extracted. This leads to an appropriate region in the controller parameters space. Numerical simulations are provided to show the performance of the proposed leader-following consensus approach.

关 键 词：multi-agent systems fractional order systems leader-following consensus discrete-time fractionalorder systems 

分 类 号：O4[理学—物理]