Distributed Containment Control of Fractional-Order Multi-Agent Systems With Unknown Persistent Disturbances on Multilayer Networks

Jianheng Ling,Lipo Mo,Xiaolin Yuan

doi:10.1109/access.2019.2962234

Abstract

This work concerns with the distributed containment control problem of fractional-order multi-agent systems (FOMASs) with unknown persistent disturbances on multilayer networks. To solve this problem, observers are designed to estimate the state of each follower and unknown persistent disturbances. Based on estimated information, a novel distributed containment control protocol is designed. And then, some matrix inequalities conditions are deduced for achieving the containment control. Finally, the effectiveness of the obtained theoretical results are demonstrated by several numerical examples.

Highlights

The coordination control of multi-agent systems (MASs) has been investigated by many researchers, and lots of excellent works have been done, such as leaderfollowing consensus control [1], [2], leaderless consensus control [3]–[7], robust control [8], [9], distributed optimization control [10]–[13] and so on
Compared with [14]–[19], where the containment control problems of integer-order MASs were considered, this paper studies the containment control problem of fractional-order multiagent systems (FOMASs)
The following distributed containment control protocol is proposed for each follower: K

Summary

Introduction

The coordination control of multi-agent systems (MASs) has been investigated by many researchers, and lots of excellent works have been done, such as leaderfollowing consensus control [1], [2], leaderless consensus control [3]–[7], robust control [8], [9], distributed optimization control [10]–[13] and so on. There may exist multiple followers and leaders, and all followers are required to move into the convex hull spanned by multiple leaders, called containment control. The containment control problem was first proposed in [14]. Reference [15] investigated the distributed containment control problem of MASs with both stationary and dynamic leaders. Reference [16] studied the distributed finite-time containment control of MASs with double-integrator dynamics. The containment control problem for both continuous-time and discrete-time MASs with general linear dynamics was studied in [17].

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Results

Conclusion