Overlapping Decentralized Control Strategies of Building Structures’ Vibration with Time Delay Based on H∞ Control Algorithms under Seismic Excitation

A decentralized control strategy can effectively solve the control problem of the large-scale time delayed structures. In this paper, combining the overlapping decentralized control method, linear matrix inequality (LMI) method, and H∞ control algorithm, overlapping decentralized H∞ control approach...

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Autores principales:	Xiaofang Kang, Jian Wu, Yewei Zhang, Guoliang Liu, Suhui Zhang, Xueting Tao, Guanghui Xia, Dawei Man, Qinghu Xu
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/71abc4aa6cc54655beae6cdc0285f247
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spelling	oai:doaj.org-article:71abc4aa6cc54655beae6cdc0285f2472021-11-22T01:10:52ZOverlapping Decentralized Control Strategies of Building Structures’ Vibration with Time Delay Based on H∞ Control Algorithms under Seismic Excitation1875-920310.1155/2021/9115938https://doaj.org/article/71abc4aa6cc54655beae6cdc0285f2472021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/9115938https://doaj.org/toc/1875-9203A decentralized control strategy can effectively solve the control problem of the large-scale time delayed structures. In this paper, combining the overlapping decentralized control method, linear matrix inequality (LMI) method, and H∞ control algorithm, overlapping decentralized H∞ control approach of the time delayed structures has been established. The feedback gain matrixes of all subsystems are obtained by this method based on genetic algorithm optimization tools and the specific goal of optimization control. The whole vibration control system of the time delayed structures is divided into a series of overlapping subsystems by overlapping decentralized control strategy. The feedback gain matrixes of each subsystem can be obtained by using H∞ control algorithm to calculate each subsystem. The vibration control of a twenty layers’ antiseismic steel structure Benchmark model was analyzed with the numerical method. The results show that the proposed method can be applied to control system with time delay. The overlapping decentralized control strategies acquire the similar control effects with that of the centralized control strategy. Moreover, the flexibility of the controller design has been enhanced by using overlapping decentralized control strategies.Xiaofang KangJian WuYewei ZhangGuoliang LiuSuhui ZhangXueting TaoGuanghui XiaDawei ManQinghu XuHindawi LimitedarticlePhysicsQC1-999ENShock and Vibration, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Xiaofang Kang Jian Wu Yewei Zhang Guoliang Liu Suhui Zhang Xueting Tao Guanghui Xia Dawei Man Qinghu Xu Overlapping Decentralized Control Strategies of Building Structures’ Vibration with Time Delay Based on H∞ Control Algorithms under Seismic Excitation
description	A decentralized control strategy can effectively solve the control problem of the large-scale time delayed structures. In this paper, combining the overlapping decentralized control method, linear matrix inequality (LMI) method, and H∞ control algorithm, overlapping decentralized H∞ control approach of the time delayed structures has been established. The feedback gain matrixes of all subsystems are obtained by this method based on genetic algorithm optimization tools and the specific goal of optimization control. The whole vibration control system of the time delayed structures is divided into a series of overlapping subsystems by overlapping decentralized control strategy. The feedback gain matrixes of each subsystem can be obtained by using H∞ control algorithm to calculate each subsystem. The vibration control of a twenty layers’ antiseismic steel structure Benchmark model was analyzed with the numerical method. The results show that the proposed method can be applied to control system with time delay. The overlapping decentralized control strategies acquire the similar control effects with that of the centralized control strategy. Moreover, the flexibility of the controller design has been enhanced by using overlapping decentralized control strategies.
format	article
author	Xiaofang Kang Jian Wu Yewei Zhang Guoliang Liu Suhui Zhang Xueting Tao Guanghui Xia Dawei Man Qinghu Xu
author_facet	Xiaofang Kang Jian Wu Yewei Zhang Guoliang Liu Suhui Zhang Xueting Tao Guanghui Xia Dawei Man Qinghu Xu
author_sort	Xiaofang Kang
title	Overlapping Decentralized Control Strategies of Building Structures’ Vibration with Time Delay Based on H∞ Control Algorithms under Seismic Excitation
title_short	Overlapping Decentralized Control Strategies of Building Structures’ Vibration with Time Delay Based on H∞ Control Algorithms under Seismic Excitation
title_full	Overlapping Decentralized Control Strategies of Building Structures’ Vibration with Time Delay Based on H∞ Control Algorithms under Seismic Excitation
title_fullStr	Overlapping Decentralized Control Strategies of Building Structures’ Vibration with Time Delay Based on H∞ Control Algorithms under Seismic Excitation
title_full_unstemmed	Overlapping Decentralized Control Strategies of Building Structures’ Vibration with Time Delay Based on H∞ Control Algorithms under Seismic Excitation
title_sort	overlapping decentralized control strategies of building structures’ vibration with time delay based on h∞ control algorithms under seismic excitation
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/71abc4aa6cc54655beae6cdc0285f247
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Overlapping Decentralized Control Strategies of Building Structures’ Vibration with Time Delay Based on H∞ Control Algorithms under Seismic Excitation

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