Decentralized finite-time \(H_{\infty}\) connective control for a class of large-scale systems with different structural forms
type: Item
instance of: scholarly article
title: Decentralized finite-time \(H_{\infty}\) connective control for a class of large-scale systems with different structural forms
zbMATH Open document ID: 1394.93085
DOI: 10.1155/2015/132517
author: Xiaohua Li
author: Yang Liu
author: Xiaoping Liu
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: Decentralized finite-time \(H_{\infty}\) connective control problem for a class of large-scale interconnected systems is studied in this paper. The research aims at two structural forms, namely, the interconnected structure and the one with expanding construction. A new method is proposed to design a decentralized state feedback control law for a large-scale interconnected system so that the closed-loop system is finite-time \(H_{\infty}\) connectively bounded. The sufficient conditions for the existence of such a decentralized control law are deduced by using LMI method. Another method is presented for a large-scale interconnected system with expanding construction which can be used without changing the decentralized state feedback control law of the original system to design a controller for the newly added subsystem so that both the new subsystem and the resulting expanded system are finite-time \(H_{\infty}\) connectively bounded. The feasibility and effectiveness of the proposed method are verified by some simulation results.
Mathematics Subject Classification ID: 93B52
zbMATH DE Number: 6925539
Wikidata QID: Q59117331
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/132517
OpenAlex ID: W1527086115
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description: scientific article; zbMATH DE number 6925539