New Results on Consensus of Multi-Agent Systems With Time-Varying Delays: A Cyclic Switching Technique

Hui-Wei Liu,Chong-Quan Zhong,Tao Sun

doi:10.1109/access.2021.3090782

Hui-Wei Liu, Chong-Quan Zhong + Show 1 more

Open Access

https://doi.org/10.1109/access.2021.3090782

Copy DOI

Abstract

This paper studies the leader-following consensus problem of discrete-time multi-agent systems with time-varying delays by developing a new cyclic switching scheme. First, two delay-dependent cycle dwell time switching laws are proposed for the first time. Second, by the proposed cyclic switching laws and constructed Lyapunov functionals, new leader-following consensus criteria for discrete-time multi-agent systems with time-varying delays are derived in the form of linear matrix inequalities. Compared with the existing literature, the developed cyclic switching method not only greatly improves the upper bound of time-varying delays in the multi-agent system, but also gives the estimation of upper and lower bounds for dwell time of the system. Finally, some simulations for the leader-following consensus of multi-agent systems with time-varying delays are presented to verify the feasibility of the proposed scheme.

Highlights

M ULTI-AGENT system, as a new distributed computing system, consists of a group of agents and a computing paradigm governing the interaction among them
The consensus problem of multi-agent systems means that the state of agents moves toward a common value exploiting only the state information of local agents
The leader-following consensus problem of multiagent systems is a key challenge in the consensus problem, where the leader-following consensus problem for multiagent systems means that the state of follower agents moves toward the state of a leader agent

Summary

INTRODUCTION

M ULTI-AGENT system, as a new distributed computing system, consists of a group of agents and a computing paradigm governing the interaction among them (see [1]–[9]). To the best of our knowledge, there is not a report on the leader-following consensus analysis of discrete-time multi-agent systems with time-varying delays from the perspective of a cyclic switching. This paper is motivated by the above observations In this technical note, the leader-following consensus problem for discrete-time multi-agent systems with time-varying delays will be studied. The main contributions of the paper are organized as follows: 1) Two cyclic switching laws (i.e., small delay-dependent cycle dwell time (SD-CDT) switching law and large delay-dependent cycle dwell time (LD-CDT) switching law) are first proposed for extending the timedelay upper bound of discrete-time multi-agent systems. Iz denotes the z × z dimensional identity matrix, and ∗ represents the Euclidean norm

GRAPH THEORY

MAIN RESULTS

SIMULATIONS

CONCLUSIONS