Optimal Output Consensus of Heterogeneous Linear Multiagent Systems Over Weight-Unbalanced Directed Networks

Jin Zhang; Lu Liu; Haibo Ji; Xinghu Wang

doi:10.1109/TCYB.2022.3191938

Optimal Output Consensus of Heterogeneous Linear Multiagent Systems Over Weight-Unbalanced Directed Networks

Jin Zhang, Lu Liu^*, Haibo Ji, Xinghu Wang

^*Corresponding author for this work

Department of Biomedical Engineering

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

27 Citations (Scopus)

66 Downloads (CityUHK Scholars)

Abstract

This article investigates the distributed optimal output consensus problem of heterogeneous linear multiagent systems over weight-unbalanced directed networks. A novel distributed continuous-time state feedback controller is proposed to steer the outputs of all the agents to converge to the optimal solution of the global cost function. Under the standard condition that the unbalanced digraph is strongly connected and the local cost functions are strongly convex with global Lipschitz gradients, the exponential convergence of the closed-loop multiagent system is established. Then, the proposed state feedback control law is extended to an observer-based output feedback setting. Two examples are finally provided to illustrate the effectiveness of the proposed control schemes.

Original language	English
Pages (from-to)	1167-1177
Number of pages	11
Journal	IEEE Transactions on Cybernetics
Volume	54
Issue number	2
Online published	31 Aug 2022
DOIs	https://doi.org/10.1109/TCYB.2022.3191938
Publication status	Published - Feb 2024

Funding

This work was supported in part by the Research Grants Council, University Grants Committee under Grant CityU/11217619; in part by the National Natural Science Foundation of China under Grant 61273090, Grant U21B6001, Grant 61873250 and Grant 61873029; and in part by the the Beijing Nova Program under Grant Z201100006820102

Research Keywords

Cost function
Directed graphs
Directed networks
Laplace equations
linear systems
Matrices
Multi-agent systems
optimal output consensus (OOC)
Protocols
State feedback
weight unbalanced

Publisher's Copyright Statement

COPYRIGHT TERMS OF DEPOSITED POSTPRINT FILE: © 2022 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. Zhang, J., Liu, L., Ji, H., & Wang, X. (2022). Optimal Output Consensus of Heterogeneous Linear Multiagent Systems Over Weight-Unbalanced Directed Networks. IEEE Transactions on Cybernetics. https://doi.org/10.1109/TCYB.2022.3191938.

RGC Funding Information

RGC-funded

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title = "Optimal Output Consensus of Heterogeneous Linear Multiagent Systems Over Weight-Unbalanced Directed Networks",

abstract = "This article investigates the distributed optimal output consensus problem of heterogeneous linear multiagent systems over weight-unbalanced directed networks. A novel distributed continuous-time state feedback controller is proposed to steer the outputs of all the agents to converge to the optimal solution of the global cost function. Under the standard condition that the unbalanced digraph is strongly connected and the local cost functions are strongly convex with global Lipschitz gradients, the exponential convergence of the closed-loop multiagent system is established. Then, the proposed state feedback control law is extended to an observer-based output feedback setting. Two examples are finally provided to illustrate the effectiveness of the proposed control schemes.",

keywords = "Cost function, Directed graphs, Directed networks, Laplace equations, linear systems, Matrices, Multi-agent systems, optimal output consensus (OOC), Protocols, State feedback, weight unbalanced",

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N2 - This article investigates the distributed optimal output consensus problem of heterogeneous linear multiagent systems over weight-unbalanced directed networks. A novel distributed continuous-time state feedback controller is proposed to steer the outputs of all the agents to converge to the optimal solution of the global cost function. Under the standard condition that the unbalanced digraph is strongly connected and the local cost functions are strongly convex with global Lipschitz gradients, the exponential convergence of the closed-loop multiagent system is established. Then, the proposed state feedback control law is extended to an observer-based output feedback setting. Two examples are finally provided to illustrate the effectiveness of the proposed control schemes.

AB - This article investigates the distributed optimal output consensus problem of heterogeneous linear multiagent systems over weight-unbalanced directed networks. A novel distributed continuous-time state feedback controller is proposed to steer the outputs of all the agents to converge to the optimal solution of the global cost function. Under the standard condition that the unbalanced digraph is strongly connected and the local cost functions are strongly convex with global Lipschitz gradients, the exponential convergence of the closed-loop multiagent system is established. Then, the proposed state feedback control law is extended to an observer-based output feedback setting. Two examples are finally provided to illustrate the effectiveness of the proposed control schemes.

KW - Cost function

KW - Directed graphs

KW - Directed networks

KW - Laplace equations

KW - linear systems

KW - Matrices

KW - Multi-agent systems

KW - optimal output consensus (OOC)

KW - Protocols

KW - State feedback

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DO - 10.1109/TCYB.2022.3191938

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JO - IEEE Transactions on Cybernetics

JF - IEEE Transactions on Cybernetics

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ER -

Optimal Output Consensus of Heterogeneous Linear Multiagent Systems Over Weight-Unbalanced Directed Networks

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Research Keywords

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GRF: Distributed Tracking Control of Networked Heterogeneous Dynamic Systems by Pure Output Feedback

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Optimal Output Consensus of Heterogeneous Linear Multiagent Systems Over Weight-Unbalanced Directed Networks

Abstract

Funding

Research Keywords

Publisher's Copyright Statement

RGC Funding Information

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GRF: Distributed Tracking Control of Networked Heterogeneous Dynamic Systems by Pure Output Feedback

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