Robust consensus of uncertain linear multi-agent systems via dynamic output feedback

This paper systematically deals with robust consensus of uncertain linear multi-agent systems via dynamic output-feedback protocols. Agents are assumed to have identical nominal linear time-invariant dynamics but are subject to heterogeneous additive stable perturbations. Dynamic output-feedback pro...

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Main Authors: Li, Xianwei, Soh, Yeng Chai, Xie, Lihua
Other Authors: School of Electrical and Electronic Engineering
Format: Journal Article
Language:English
Published: 2020
Subjects:
Online Access:https://hdl.handle.net/10356/143931
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author Li, Xianwei
Soh, Yeng Chai
Xie, Lihua
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
Li, Xianwei
Soh, Yeng Chai
Xie, Lihua
author_sort Li, Xianwei
collection NTU
description This paper systematically deals with robust consensus of uncertain linear multi-agent systems via dynamic output-feedback protocols. Agents are assumed to have identical nominal linear time-invariant dynamics but are subject to heterogeneous additive stable perturbations. Dynamic output-feedback protocols with or without controller state information exchange between neighboring controllers are studied in a unified framework. Two methods are proposed for protocol design, which need to solve an algebraic Riccati equation and some scalar/matrix inequalities. The first method characterizes some key parameters by scalar inequalities related to the nonzero eigenvalues of the Laplacian, which requires the diagonalizability of the Laplacian, while the second method characterizes the parameters by linear matrix inequalities, which circumvents the requirement of the diagonalizability of the Laplacian. Compared with existing results, the proposed approach can simultaneously cope with heterogeneous uncertainties and directed communication graphs. Numerical results verify the advantages of the proposed design methods.
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spelling ntu-10356/1439312020-10-02T01:05:03Z Robust consensus of uncertain linear multi-agent systems via dynamic output feedback Li, Xianwei Soh, Yeng Chai Xie, Lihua School of Electrical and Electronic Engineering Engineering::Electrical and electronic engineering Robust Consensus Multi-agent Systems This paper systematically deals with robust consensus of uncertain linear multi-agent systems via dynamic output-feedback protocols. Agents are assumed to have identical nominal linear time-invariant dynamics but are subject to heterogeneous additive stable perturbations. Dynamic output-feedback protocols with or without controller state information exchange between neighboring controllers are studied in a unified framework. Two methods are proposed for protocol design, which need to solve an algebraic Riccati equation and some scalar/matrix inequalities. The first method characterizes some key parameters by scalar inequalities related to the nonzero eigenvalues of the Laplacian, which requires the diagonalizability of the Laplacian, while the second method characterizes the parameters by linear matrix inequalities, which circumvents the requirement of the diagonalizability of the Laplacian. Compared with existing results, the proposed approach can simultaneously cope with heterogeneous uncertainties and directed communication graphs. Numerical results verify the advantages of the proposed design methods. 2020-10-02T01:05:03Z 2020-10-02T01:05:03Z 2018 Journal Article Li, X., Soh, Y. C., & Xie, L. (2018). Robust consensus of uncertain linear multi-agent systems via dynamic output feedback. Automatica, 98, 114-123. doi:10.1016/j.automatica.2018.09.020 0005-1098 https://hdl.handle.net/10356/143931 10.1016/j.automatica.2018.09.020 98 114 123 en Automatica © 2018 Elsevier Ltd. All rights reserved.
spellingShingle Engineering::Electrical and electronic engineering
Robust Consensus
Multi-agent Systems
Li, Xianwei
Soh, Yeng Chai
Xie, Lihua
Robust consensus of uncertain linear multi-agent systems via dynamic output feedback
title Robust consensus of uncertain linear multi-agent systems via dynamic output feedback
title_full Robust consensus of uncertain linear multi-agent systems via dynamic output feedback
title_fullStr Robust consensus of uncertain linear multi-agent systems via dynamic output feedback
title_full_unstemmed Robust consensus of uncertain linear multi-agent systems via dynamic output feedback
title_short Robust consensus of uncertain linear multi-agent systems via dynamic output feedback
title_sort robust consensus of uncertain linear multi agent systems via dynamic output feedback
topic Engineering::Electrical and electronic engineering
Robust Consensus
Multi-agent Systems
url https://hdl.handle.net/10356/143931
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