Robust Nonfragile Controllers Design for Fractional Order Large-Scale Uncertain Systems with a Commensurate Order 1<α<2

Robust Nonfragile Controllers Design for Fractional Order Large-Scale Uncertain Systems with a Commensurate Order 1<α<2

The paper concerns the problem of stabilization of large-scale fractional order uncertain systems with a commensurate order 1<α<2 under controller gain uncertainties. The uncertainties are of norm-bounded type. Based on the stability criterion of fractional order system, sufficient conditions...

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Main Author: Jianyu Lin
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2015/206908
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spelling doaj-9c8bc431c6cf4febbc5d1b121e9426772020-11-24T23:20:08ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472015-01-01201510.1155/2015/206908206908Robust Nonfragile Controllers Design for Fractional Order Large-Scale Uncertain Systems with a Commensurate Order 1<α<2Jianyu Lin0Department of Automation, Shanghai Jiao Tong University, Shanghai 200240, ChinaThe paper concerns the problem of stabilization of large-scale fractional order uncertain systems with a commensurate order 1<α<2 under controller gain uncertainties. The uncertainties are of norm-bounded type. Based on the stability criterion of fractional order system, sufficient conditions on the decentralized stabilization of fractional order large-scale uncertain systems in both cases of additive and multiplicative gain perturbations are established by using the complex Lyapunov inequality. Moreover, the decentralized nonfragile controllers are designed. Finally, some numerical examples are given to validate the proposed method.http://dx.doi.org/10.1155/2015/206908
collection DOAJ
language English
format Article
sources DOAJ
author Jianyu Lin
spellingShingle Jianyu Lin
Robust Nonfragile Controllers Design for Fractional Order Large-Scale Uncertain Systems with a Commensurate Order 1<α<2
Mathematical Problems in Engineering
author_facet Jianyu Lin
author_sort Jianyu Lin
title Robust Nonfragile Controllers Design for Fractional Order Large-Scale Uncertain Systems with a Commensurate Order 1<α<2
title_short Robust Nonfragile Controllers Design for Fractional Order Large-Scale Uncertain Systems with a Commensurate Order 1<α<2
title_full Robust Nonfragile Controllers Design for Fractional Order Large-Scale Uncertain Systems with a Commensurate Order 1<α<2
title_fullStr Robust Nonfragile Controllers Design for Fractional Order Large-Scale Uncertain Systems with a Commensurate Order 1<α<2
title_full_unstemmed Robust Nonfragile Controllers Design for Fractional Order Large-Scale Uncertain Systems with a Commensurate Order 1<α<2
title_sort robust nonfragile controllers design for fractional order large-scale uncertain systems with a commensurate order 1<α<2
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2015-01-01
description The paper concerns the problem of stabilization of large-scale fractional order uncertain systems with a commensurate order 1<α<2 under controller gain uncertainties. The uncertainties are of norm-bounded type. Based on the stability criterion of fractional order system, sufficient conditions on the decentralized stabilization of fractional order large-scale uncertain systems in both cases of additive and multiplicative gain perturbations are established by using the complex Lyapunov inequality. Moreover, the decentralized nonfragile controllers are designed. Finally, some numerical examples are given to validate the proposed method.
url http://dx.doi.org/10.1155/2015/206908
work_keys_str_mv AT jianyulin robustnonfragilecontrollersdesignforfractionalorderlargescaleuncertainsystemswithacommensurateorder1a2
_version_ 1725575842930622464

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