Finite-Time and Fixed-Time Consensus of Nonlinear Stochastic Multi-Agent Systems With ROUs and RONs via Impulsive Control

Zhenhua Zhang,Shiguo Peng,Tao Chen

doi:10.1109/access.2019.2939021

Zhenhua Zhang, Shiguo Peng + Show 1 more

Open Access

https://doi.org/10.1109/access.2019.2939021

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Journal: IEEE Access	Publication Date: Jan 1, 2019
Citations: 28	License type: CC BY 4.0

Affiliation: Guangdong University of Technology

Abstract

This paper discusses the finite-time and the fixed-time consensus of nonlinear stochastic multi-agent systems (NSMSs) with randomly occurring uncertainties (ROUs) and randomly occurring nonlinearities (RONs) in a leader-following framework. Nonlinear control and impulsive pinning control protocols are designed to guarantee that follower agents realize consensus with the leader agent in finite time(fixed time). Based on the finite-time and fixed-time consensus theory, stochastic analysis technique, comparison system theory and algebra graph theory, some sufficient conditions are proposed to guarantee the finite-time and fixed-time consensus of systems. Then, the setting times of finite-time consensus and fixed-time consensus are estimated. Finally, two simulation examples are presented to illustrate the correctness of our conclusions.

Highlights

With the development of modern science and technology and the popularization of artificial intelligence, multi-agent system, as one kind of complex networks, has attracted considerable attention among the scholars and the experts [1]–[3]
Motivated by the above-mentioned considerations, this paper investigates the finite-time and fixed-time consensus of nonlinear stochastic multi-agent systems (NSMSs) with randomly occurring uncertainties (ROUs) and randomly occurring nonlinearities (RONs) via impulsive control
Compared with previous work, two effective control protocols are both presented so that we can resolve the problem of finite-time and fixed-time consensus of NSMSs with RONs and ROUs

Summary

INTRODUCTION

With the development of modern science and technology and the popularization of artificial intelligence, multi-agent system, as one kind of complex networks, has attracted considerable attention among the scholars and the experts [1]–[3]. Compared with previous work, two effective control protocols are both presented so that we can resolve the problem of finite-time and fixed-time consensus of NSMSs with RONs and ROUs. It is said that the impulsive sequence ς = {t1, t2, · · · } have an average impulsive interval Ta. Definition 2: System (1) is said to achieve finite-time leader-following consensus in probability, if there exists a constant T > 0 which depends on the initial condition vector value s(0) such that. Remark 2: Different from the control protocol (4) in [7], we propose the control method to realize leader-following consensus in finite time in this paper. We present a theoretical result to guarantee that the follower system (1) and the leader system (4) with ROUs, RONs and stochastic disturbances can reach finite-time consensus via control protocol (27). When θ > 1, the setting time T2 which make w(t) of system (42) tend to zero can not be due to be estimated

NUMERICAL EXAMPLES

CONCLUSION