Distributed consensus tracking of nonlinear MASs under stochastic switching topologies via aperiodically intermittent control

Author:

Zhao Xiujuan12ORCID,Chen Shiming1,Zhang Zheng1,Zheng Yuanshi3ORCID

Affiliation:

1. School of Electrical and Automation Engineering East China Jiaotong University Nanchang China

2. School of Communication and Electronics Jiangxi Normal University of Science and Technology Nanchang China

3. School of Mechano‐electronic Engineering Xidian University Xi'an China

Abstract

SummaryIn this article, we investigate the mean‐square consensus tracking problem of nonlinear MASs subjected to external disturbances under stochastic switching topologies. An aperiodically intermittent control strategy is proposed to guarantee consensus tracking in the mean‐square sense, which depends only on the local state information of the neighbors and the leader. The stochastic switching signal of the interaction topologies is modeled as a continuous‐time Markov process, and the aperiodically intermittent control method is driven by a discrete‐time series of stochastic samples, that are independent of each other. Moreover, several sufficient conditions are established to ensure the feasibility of the control strategy. The proofs are given by employing matrix inequality theory and Lyapunov stability theory. Finally, numerical simulations are provided to verify the feasibility of the proposed theoretical results.

Funder

National Natural Science Foundation of China

Education Department of Jiangxi Province

Publisher

Wiley

Subject

Electrical and Electronic Engineering,Industrial and Manufacturing Engineering,Mechanical Engineering,Aerospace Engineering,Biomedical Engineering,General Chemical Engineering,Control and Systems Engineering

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