Distributed robust \(H_\infty\) consensus control for uncertain multiagent systems with state and input delays
type: Item
instance of: scholarly article
title: Distributed robust \(H_\infty\) consensus control for uncertain multiagent systems with state and input delays
zbMATH Open document ID: 1426.93085
DOI: 10.1155/2017/5091756
author: Ping Li
author: Kaiyu Qin
published in: Mathematical Problems in Engineering
publication date: 2018-11-05T00:00:00Z
review text: Summary: Robust \(H_{\infty}\) consensus control problem is investigated for multiagent systems. Each agent is tackled in a more generalized form, which includes parameter uncertainties, external disturbances, nonidentical time-varying state, and input delays. Firstly, a distributed control protocol based on state feedback of neighbors is designed. By a decoupling method, \(H_{\infty}\) consensus control problem for multiagent systems is transformed into \(H_{\infty}\) control problem for the decoupling subsystems. Then employing Lyapunov-Krasovskii functional and free-weighting matrices, a lower conservative bounded real lemma (BRL) is derived in terms of linear matrix inequalities (LMIs) such that a class of time-delay system is guaranteed to be globally asymptotically stable with the desired \(H_{\infty}\) performance index. Extending BRL, a sufficient delay-dependent condition of lower complexity in terms of the matrix inequalities is obtained to make all agents asymptotically reach consensus with the desired \(H_{\infty}\) performance index. Furthermore, an algorithm is elaborately designed to get feasible solution to this condition. Extending this algorithm, an optimization algorithm for control protocol parameter is proposed to improve the disturbance attenuation capacity or allowable delay bounds. Finally, simulation results are provided to illustrate the correctness of the theoretical results and the effectiveness of the algorithms.
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93C23
Mathematics Subject Classification ID: 93A14
zbMATH DE Number: 6972181
MaRDI profile type: Publication
Wikidata QID: Q59147600
full work available at URL: https://doi.org/10.1155/2017/5091756
OpenAlex ID: W2609264405
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description: scientific article; zbMATH DE number 6972181