Synthesis of Decentralized Variable Gain Robust Controllers with Guaranteed L_2 Gain Performance for a Class of Uncertain Large-Scale Interconnected Systems

We consider a design problem of a decentralized variable gain robust controller with guaranteed L 2 gain performance for a class of uncertain large-scale interconnected systems. For the uncertain large-scale interconnected system, the uncertainties and the interactions satisfy the matching condition...

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Bibliographic Details
Published inJournal of Control Science and Engineering Vol. 2015; no. 2015; pp. 167 - 177
Main Authors Nagai, Shunya, Oya, Hidetoshi
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Limiteds 01.01.2015
Hindawi Publishing Corporation
Hindawi Limited
Subjects
Controllers
Cybersecurity
Mathematical functions
Robust control
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Summary:We consider a design problem of a decentralized variable gain robust controller with guaranteed L 2 gain performance for a class of uncertain large-scale interconnected systems. For the uncertain large-scale interconnected system, the uncertainties and the interactions satisfy the matching condition. In this paper, we show that sufficient conditions for the existence of the proposed decentralized variable gain robust controller with guaranteed L 2 gain performance are given in terms of linear matrix inequalities (LMIs). Finally, simple illustrative examples are shown.
ISSN:1687-5249
1687-5257
DOI:10.1155/2015/342867