Synthesis of Decentralized Variable Gain Robust Controllers for Large-Scale Interconnected Systems with Structured Uncertainties

In this paper, we propose a decentralized variable gain robust controller which achieves not only robust stability but also satisfactory transient behavior for a class of uncertain large-scale interconnected systems. For the uncertain large-scale interconnected system, the uncertainties and the inte...

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Main Authors: Shunya Nagai, Hidetoshi Oya
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Control Science and Engineering
Online Access:http://dx.doi.org/10.1155/2014/848465
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author Shunya Nagai
Hidetoshi Oya
author_facet Shunya Nagai
Hidetoshi Oya
author_sort Shunya Nagai
collection DOAJ
description In this paper, we propose a decentralized variable gain robust controller which achieves not only robust stability but also satisfactory transient behavior 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. The proposed decentralized robust controller consists of a fixed feedback gain controller and a variable gain one determined by a parameter adjustment law. In this paper, we show that sufficient conditions for the existence of the proposed decentralized variable gain robust controller are given in terms of LMIs. Finally, a simple numerical example is included.
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issn 1687-5249
1687-5257
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publishDate 2014-01-01
publisher Wiley
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series Journal of Control Science and Engineering
spelling doaj-art-6edaefc6463941db8de5f1f8b273eeca2025-08-20T02:06:20ZengWileyJournal of Control Science and Engineering1687-52491687-52572014-01-01201410.1155/2014/848465848465Synthesis of Decentralized Variable Gain Robust Controllers for Large-Scale Interconnected Systems with Structured UncertaintiesShunya Nagai0Hidetoshi Oya1The Graduate School of Advanced Technology and Science, The University of Tokushima, 2-1 Minamijosanjima, Tokushima 770-8506, JapanThe Institute of Technology and Science, The University of Tokushima, 2-1 Minamijosanjima, Tokushima 770-8506, JapanIn this paper, we propose a decentralized variable gain robust controller which achieves not only robust stability but also satisfactory transient behavior 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. The proposed decentralized robust controller consists of a fixed feedback gain controller and a variable gain one determined by a parameter adjustment law. In this paper, we show that sufficient conditions for the existence of the proposed decentralized variable gain robust controller are given in terms of LMIs. Finally, a simple numerical example is included.http://dx.doi.org/10.1155/2014/848465
spellingShingle Shunya Nagai
Hidetoshi Oya
Synthesis of Decentralized Variable Gain Robust Controllers for Large-Scale Interconnected Systems with Structured Uncertainties
Journal of Control Science and Engineering
title Synthesis of Decentralized Variable Gain Robust Controllers for Large-Scale Interconnected Systems with Structured Uncertainties
title_full Synthesis of Decentralized Variable Gain Robust Controllers for Large-Scale Interconnected Systems with Structured Uncertainties
title_fullStr Synthesis of Decentralized Variable Gain Robust Controllers for Large-Scale Interconnected Systems with Structured Uncertainties
title_full_unstemmed Synthesis of Decentralized Variable Gain Robust Controllers for Large-Scale Interconnected Systems with Structured Uncertainties
title_short Synthesis of Decentralized Variable Gain Robust Controllers for Large-Scale Interconnected Systems with Structured Uncertainties
title_sort synthesis of decentralized variable gain robust controllers for large scale interconnected systems with structured uncertainties
url http://dx.doi.org/10.1155/2014/848465
work_keys_str_mv AT shunyanagai synthesisofdecentralizedvariablegainrobustcontrollersforlargescaleinterconnectedsystemswithstructureduncertainties
AT hidetoshioya synthesisofdecentralizedvariablegainrobustcontrollersforlargescaleinterconnectedsystemswithstructureduncertainties