Delayed consensus problem for single and double integrator systems
type: Item
instance of: scholarly article
title: Delayed consensus problem for single and double integrator systems
zbMATH Open document ID: 1394.93009
DOI: 10.1155/2015/461098
author: Josué Heras-Godínez
author: José Alejandro Vázquez-Santacruz
author: Varinia Fragoso-Rubio
author: M. Velasco-Villa
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: This work deals with the analysis of the consensus problem for networks of agents constituted by single and double integrator systems. It is assumed that the communication among agents is affected by a constant time-delay. Previous and numerous analysis of the problem shows that the maximum communication time-delay that can be introduced to the network without affecting the consensus of the group of the agents depends on the considered topology. In this work, a control scheme that is based on the estimation of future states of the agents and that allows increasing the magnitude of a possible time-delay affecting the communication channels is proposed. How the proposed delay compensation strategy is independent of the network topology in the sense that the maximum allowable time-delay that could be supported by the network depends on a design parameter and not on the maximum eigenvalue of the corresponding Laplacian matrix is shown. It is formally proven that, under the proposed prediction scheme, the consensus of the group can be achieved by improving the maximum time-delay bounds previously reported in the literature. Numerical simulations show the effectiveness of the proposed solution.
Mathematics Subject Classification ID: 93A14
Mathematics Subject Classification ID: 93C23
zbMATH DE Number: 6926401
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/461098
OpenAlex ID: W2009295661
Wikidata QID: Q59118641
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description: scientific article; zbMATH DE number 6926401