Leaderless Consensus Control of Nonlinear PIDE-Type Multi-Agent Systems With Time Delays

Jiashu Dai,Xu Yan,Jiuru Wang,Chengdong Yang,Kongwei Zhu,Chuanhai Yang

doi:10.1109/access.2022.3153078

Jiashu Dai, Xu Yan + Show 4 more

Open Access

https://doi.org/10.1109/access.2022.3153078

Copy DOI

Journal: IEEE Access	Publication Date: Jan 1, 2022
Citations: 4	License type: CC BY 4.0

Affiliation: Linyi University, Anhui Polytechnic University

Abstract

This paper studies leaderless consensus of semi-linear parabolic partial integro-differential equations based multi-agent systems (PIDEMASs) with time delays. Making use of the information interaction and coordination among the neighboring agents, consensus control of the leaderless PIDEMAS is constructed. Consensus of the leaderless PIDEMAS is analyzed by using a Lyapunov approach. Dealing with time-invariant delays and time-varying delays, two sufficient conditions for consensus of the leaderless PIDEMAS are respectively obtained in terms of LMIs. Two examples illustrate the effectiveness of developed theoretical results.

Highlights

M ULTI-AGENT systems (MASs) have attracted a great deal of attention during the last few decades [1], [2]
This paper aims to research leaderless consensus control methods of a semi-linear parabolic PIDEMAS with time delays
PROBLEM FORMULATION This paper studies a class of semi-linear PIDEMASs with time delays as

Summary

INTRODUCTION

M ULTI-AGENT systems (MASs) have attracted a great deal of attention during the last few decades [1], [2]. Yu et al proposed a finite-horizon H∞ consensus control method for multi-agent networks under the limited energy constraint [16]. In these results, time delays have not yet to be considered. There are still technical difficulties on consensus of PIDEs based MASs (PIDEMASs), like communication between agents and topology structure, which motives this paper. This paper aims to research leaderless consensus control methods of a semi-linear parabolic PIDEMAS with time delays. The contribution of this paper contains: (1) A class of PIDEMAS models is built, considering time-invariant delays and time-varying delays, respectively; (2) A controller based on communication among agents is given; (3) The topology structure is analyzed among agents; (4) By choosing suitable. The superscript T is used for the transpose of a vector or a matrix, and the symbol ∗ is used as an ellipsis for terms in matrix expressions induced by the symmetry

PROBLEM FORMULATION

CONSENSUS OF THE PIDEMAS WITH TIME-VARYING DELAYS

NUMERICAL SIMULATION

CONCLUSIONS