Distributed consensus tracking for second-order nonlinear multiagent systems with a specified reference state
type: Item
instance of: scholarly article
title: Distributed consensus tracking for second-order nonlinear multiagent systems with a specified reference state
zbMATH Open document ID: 1407.93041
DOI: 10.1155/2014/320687
author: Guoguang Wen
author: Yongguang Yu
author: Zhaoxia Peng
author: Ahmed Rahmani
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: This paper mainly addresses the distributed consensus tracking problem for second-order nonlinear multiagent systems with a specified reference trajectory. The dynamics of each follower consists of two terms: nonlinear inherent dynamics and a simple communication protocol relying only on the position and velocity information of its neighbors. The consensus reference is taken as a virtual leader, whose output is only its position and velocity information that is available to only a subset of a group of followers. To achieve consensus tracking, a class of nonsmooth control protocols is proposed which reply on the relative information among the neighboring agents. Then some corresponding sufficient conditions are derived. It is shown that if the communication graph associated with the virtual leader and followers is connected at each time instant, the consensus can be achieved at least globally exponentially with the proposed protocol. Rigorous proofs are given by using graph theory, matrix theory, and Lyapunov theory. Finally, numerical examples are presented to illustrate the theoretical analysis.
Mathematics Subject Classification ID: 93A14
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 68T42
zbMATH DE Number: 7016168
Wikidata QID: Q59065879
describes a project that uses: Boids
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/320687
OpenAlex ID: W2000323892
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description: scientific article; zbMATH DE number 7016168