Consensus control of multiagent systems with high-order nonlinear inaccurate dynamics and dynamically switching undirected topologies
type: Item
instance of: scholarly article
title: Consensus control of multiagent systems with high-order nonlinear inaccurate dynamics and dynamically switching undirected topologies
zbMATH Open document ID: 1427.93027
DOI: 10.1155/2018/5983679
author: Qiang Wang
author: Qingtian Meng
author: Xiaonan Fang
author: Huaxiang Zhang
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: This paper investigates the consensus control of a class of high-order nonlinear multiagent systems, whose topology is dynamically switching directed graph. First, the high-order nonlinear dynamics is transformed into the one-order dynamics by structuring a sliding mode plane; then, two consensus control protocols of the one-order dynamics are designed by feedback linearization, one of which is based on PD (proportion and derivative) and the other is based on PID (proportion, integral and derivative). Under these control protocols, it is proved that the consensus of new variable only requires a weaker topology condition; next, we prove that the consensus of the new variable is sufficient to the consensus of the states of multiagent systems, which implies that it only requires a weaker topology condition for the consensus of multiagent systems; finally, the study of an illustrative example with simulations shows that our results as well as designed control protocols work very well in studying the consensus of this class of multiagent systems.
Mathematics Subject Classification ID: 93A14
Mathematics Subject Classification ID: 93B12
Mathematics Subject Classification ID: 93D20
zbMATH DE Number: 7019213
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/5983679
OpenAlex ID: W2809693958
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Wikidata QID: Q129648117
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description: scientific article; zbMATH DE number 7019213