A Unified Mean Square Consensus Criterion for Stochastic Multi-Agent Systems With ROUs and RONs Under Impulse Time Windows

Tao Chen,Shiguo Peng,Zhenhua Zhang

doi:10.1109/access.2020.3045982

Tao Chen, Shiguo Peng + Show 1 more

Open Access

https://doi.org/10.1109/access.2020.3045982

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Journal: IEEE Access	Publication Date: Jan 1, 2020
Citations: 25	License type: CC BY 4.0

Affiliation: Guangdong University of Technology

Abstract

This paper probes into the leader-following mean square consensus problem of stochastic multi-agent systems with randomly occurring uncertainties (ROUs) and randomly occurring nonlinearities (RONs) under impulse time windows (ITWs). A new concept named average left endpoint interval (ALEI) related to ITWs is proposed, which is inspired by the average impulsive interval. Based on ALEI and Lyapunov stability theory, a unified mean square consensus criterion for both stabilizing and interference impulses is attained. The introduction of ALEI allows for a larger upper bound of left endpoint interval and smaller lower bound of left endpoint interval, which makes the preset of ITWs more flexible and less conservative. The validity of the theoretical results is verified by the numerical simulation.

Highlights

C URRENTLY, based on the distributed collaborative control, multi-agent systems (MASs) has been widely used in social life by virtue of the powerful functions brought by cluster effect, such as formation control of robots or aircraft [1], commercial finance [2], sociology [3], traffic management and control [4], epidemiological research [5], etc
The unified synchronization criterion of impulsive dynamical networks is given by the proposed average impulsive interval (AII), which expands the upper bound of impulsive interval and narrows the lower bound of impulsive interval for synchronizing and desynchronizing impulses respectively
Remark 5: When the impulse time windows (ITWs) is not considered, the concept of AII was used to obtain a larger upper bound of impulsive interval for a given non-uniform impulse sequence in [35]

Summary

INTRODUCTION

C URRENTLY, based on the distributed collaborative control, multi-agent systems (MASs) has been widely used in social life by virtue of the powerful functions brought by cluster effect, such as formation control of robots or aircraft [1], commercial finance [2], sociology [3], traffic management and control [4], epidemiological research [5], etc. Based on the above discussions, the leader-following mean square consensus problem of SMASs with ROUs, RONs and ITWs is studied in this paper. Compared with the existing literatures with ITWs, such as [24]- [34], the problem of how to get a larger impulsive interval is solved This means that the frequency of impulsive control for unstable MASs can be effectively reduced in a period of time, saving costs and enhancing adaptability (i.e., the preset of ITWs is more flexible). Compared with the existing literatures without ITWs or AII, the researched system model with ROUs, RONs, stochastic disturbances and ITWs in this paper is more general, so our results may be less conservative and more suitable for practical situations.

ALGEBRAIC GRAPH THEORY

PROBLEM DESCRIPTION AND PROTOCOL CONSTRUCTION

MAIN RESULTS

NUMERICAL SIMULATION

CONCLUSION