Robust Optimal Control of Uncertain Discrete-Time Multiagent Systems With Digraphs

Zhuo Zhang; Yang Shi; Zexu Zhang; Shouxu Zhang; Huiping Li; Bing Xiao; Weisheng Yan

doi:10.1109/TSMC.2022.3190058

Robust Optimal Control of Uncertain Discrete-Time Multiagent Systems With Digraphs

Zhuo Zhang, Yang Shi, Zexu Zhang, Shouxu Zhang, Huiping Li, Bing Xiao, Weisheng Yan

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

This article studies the distributed robust optimal control for discrete-time linear multiagent systems (MASs) with parametric uncertainties, where digraphs that only contain a directed spanning tree are allowed. Using the linear quadratic regulator approach, an optimal control protocol is presented. The presented controller is fully distributed, since the global information of graphs is unneeded for the design and implementation of the presented controller. The global performance index of MASs can be minimized by using the presented control protocol, and the optimal solution is independent with the information of parametric uncertainties. Finally, some simulated examples are provided to show the effectiveness of the proposed approaches.

Original language	English
Pages (from-to)	861-871
Number of pages	11
Journal	IEEE Transactions on Systems, Man, and Cybernetics: Systems
Volume	53
Issue number	2
DOIs	https://doi.org/10.1109/TSMC.2022.3190058
State	Published - 1 Feb 2023

Keywords

Directed topologies
fully distributed control
multiagent systems (MASs)
parametric uncertainties
robust optimal control

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10.1109/TSMC.2022.3190058

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abstract = "This article studies the distributed robust optimal control for discrete-time linear multiagent systems (MASs) with parametric uncertainties, where digraphs that only contain a directed spanning tree are allowed. Using the linear quadratic regulator approach, an optimal control protocol is presented. The presented controller is fully distributed, since the global information of graphs is unneeded for the design and implementation of the presented controller. The global performance index of MASs can be minimized by using the presented control protocol, and the optimal solution is independent with the information of parametric uncertainties. Finally, some simulated examples are provided to show the effectiveness of the proposed approaches.",

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AU - Li, Huiping

AU - Xiao, Bing

AU - Yan, Weisheng

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AB - This article studies the distributed robust optimal control for discrete-time linear multiagent systems (MASs) with parametric uncertainties, where digraphs that only contain a directed spanning tree are allowed. Using the linear quadratic regulator approach, an optimal control protocol is presented. The presented controller is fully distributed, since the global information of graphs is unneeded for the design and implementation of the presented controller. The global performance index of MASs can be minimized by using the presented control protocol, and the optimal solution is independent with the information of parametric uncertainties. Finally, some simulated examples are provided to show the effectiveness of the proposed approaches.

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KW - fully distributed control

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Robust Optimal Control of Uncertain Discrete-Time Multiagent Systems With Digraphs

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Keywords

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