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

doi:10.1088/1674-1056/27/1/010701

Abstract 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.

Keywords: multi-agent systems fractional order systems leader-following consensus discrete-time fractional order systems

Received: 02 August 2017
Revised: 31 August 2017
Accepted manuscript online:

PACS:

07.05.Dz

(Control systems)

Corresponding Authors: Mohammad Tabatabaei
E-mail: tabatabaei@iaukhsh.ac.ir

Cite this article:

Erfan Shahamatkhah, Mohammad Tabatabaei Leader-following consensus of discrete-time fractional-order multi-agent systems 2018 Chin. Phys. B 27 010701

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

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