Adaptive Bipartite Consensus of Second-Order Multi-Agent Systems With Bounded Disturbances

Haichuan Xu,Yong Lv,Chen Liu,Jinlian Zhou

doi:10.1109/access.2020.3028096

Abstract

This paper investigates distributed adaptive bipartite consensus for second-order multi-agent systems (MASs) with bounded disturbances under a signed graph. Based on adaptive variable structure control strategies, an adaptive bipartite consensus protocol is proposed, which guarantees that the bipartite consensus can be realized if the signed graph is structurally balanced and connected. Furthermore, the external disturbances are attenuated effectively by the variable structure control. And the obtained results are applied to adaptive consensus of disturbed second-order MASs under cooperative networks. Finally, a numerical simulation is presented to demonstrate the theoretical finding.

Highlights

In the past few decades, consensus of multi-agent systems (MASs) has absorbed considerable attentions due to its broad applications in genetic regulatory networks [1], power systems [2], [3], sensor networks [4], [5], evolutionary games [6], and formation [7], [8]
We mainly consider the second-order MASs with bounded disturbances
Xu et al.: Adaptive Bipartite Consensus of Second-Order MASs With Bounded Disturbances with bounded disturbances and antagonistic interactions is investigated in this paper

Summary

INTRODUCTION

In the past few decades, consensus of MASs has absorbed considerable attentions due to its broad applications in genetic regulatory networks [1], power systems [2], [3], sensor networks [4], [5], evolutionary games [6], and formation [7], [8]. We mainly consider the second-order MASs with bounded disturbances. Variable structure control is proposed for the second-order MASs of this paper. Bipartite consensus of MASs with competitive interactions has been intensively investigated in the past few years. An adaptive bipartite consensus protocol is proposed for second-order MASs to guarantee bipartite consensus based on adaptive variable structure control approaches in this paper. H. Xu et al.: Adaptive Bipartite Consensus of Second-Order MASs With Bounded Disturbances with bounded disturbances and antagonistic interactions is investigated in this paper. The main contributions of this paper are as follows: 1) The model description is more practical, in which both the systems with the bounded disturbances and the network with antagonistic interactions are considered.

PRELIMINARIES AND MODEL DESCRIPTION

SIMULATIONS

CONCLUSION