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

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

中国物理B ›› 2018, Vol. 27 ›› Issue (1): 10701-010701.doi: 10.1088/1674-1056/27/1/010701

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

Erfan Shahamatkhah, Mohammad Tabatabaei

Department of Electrical Engineering, Khomeinishahr Branch, Islamic Azad University, Isfahan, Iran

收稿日期:2017-08-02 修回日期:2017-08-31 出版日期:2018-01-05 发布日期:2018-01-05
通讯作者: Mohammad Tabatabaei E-mail:tabatabaei@iaukhsh.ac.ir

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

Erfan Shahamatkhah, Mohammad Tabatabaei

Department of Electrical Engineering, Khomeinishahr Branch, Islamic Azad University, Isfahan, Iran

Received:2017-08-02 Revised:2017-08-31 Online:2018-01-05 Published:2018-01-05
Contact: Mohammad Tabatabaei E-mail:tabatabaei@iaukhsh.ac.ir

摘要/Abstract

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.

关键词: multi-agent systems, fractional order systems, leader-following consensus, discrete-time fractional order systems

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.

Key words: multi-agent systems, fractional order systems, leader-following consensus, discrete-time fractional order systems

中图分类号: (Control systems)

07.05.Dz

Erfan Shahamatkhah,Mohammad Tabatabaei. Leader-following consensus of discrete-time fractional-order multi-agent systems[J]. 中国物理B, 2018, 27(1): 10701-010701.

Erfan Shahamatkhah, Mohammad Tabatabaei. Leader-following consensus of discrete-time fractional-order multi-agent systems[J]. Chin. Phys. B, 2018, 27(1): 10701-010701.

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

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

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