Bipartite Consensus for Second Order Multi-Agent Systems With Exogenous Disturbance via Pinning Control

Jie Wu,Chao-Yang Chen,Qun Deng,Huaicheng Yan

doi:10.1109/access.2019.2959719

Abstract

This paper focuses on the leader-following bipartite consensus problem for second order multi-agent systems (MASs) subject to the disturbance generated from exosystem. Different from some related works on this topic, the upper bound of disturbance is not required and the disturbance observer is proposed to estimate the exogenous disturbance. To guarantee the bipartite consensus of nonlinear MASs, both pinning control and disturbance observer strategy are employed. With the help of linear matrix inequality and Lyapunov stability theory, it is demonstrated that leader-following bipartite consensus for nonlinear MASs can be realized if a fraction of the agents are controlled under some sufficient conditions. The effectiveness of the developed approach is verified via simulations.

Highlights

In the past years, intensive attentions have been paid to the field of control systems owing to its broad applications in real-world systems, especially for networked systems [1]–[5] and multiagent systems (MASs) [6]–[10]
MAIN RESULTS we are at the position to tackle the leaderfollowing bipartite consensus problem for second order MASs by pinning control under disturbances case and no disturbances case, respectively
Where ξi ∈ Rm2 is the internal state of the exogenous system, A ∈ Rm2×m2 and C ∈ Rm×m2 are the matrices of the disturbance system, and (A, C) is observable

Summary

INTRODUCTION

Intensive attentions have been paid to the field of control systems owing to its broad applications in real-world systems, especially for networked systems [1]–[5] and MASs [6]–[10]. J. Wu et al.: Bipartite Consensus for Second Order MASs With Exogenous Disturbance via Pinning Control. The disturbance rejection is a vital issue in the controller design of MASs. References [27] and [28] investigated leader-follower bipartite consensus of linear MASs subjected to bounded disturbance over signed graph. In view of the foregoing concerns, based on our prior work on bipartite consensus problem [31], [32], this paper deals with leader-following bipartite consensus problem of second-order nonlinear MASs subject to exogenous disturbance. MAIN RESULTS we are at the position to tackle the leaderfollowing bipartite consensus problem for second order MASs by pinning control under disturbances case and no disturbances case, respectively

LEADER-FOLLOWING BIPARTITE CONSENSUS WITH

NUMERICAL SIMULATIONS

CONCLUSION