Robust stability and stabilization of LTI fractional-order systems with poly-topic and two-norm bounded uncertainties

Robust stability and stabilization of LTI fractional-order systems with poly-topic and two-norm bounded uncertainties

Abstract This paper investigates the problems of robust stability and stabilization of LTI fractional-order systems with poly-topic and two-norm bounded uncertainties. Firstly, some sufficient conditions of the robust asymptotical stable for such fractional-order uncertain systems are derived. Secon...

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Main Author: Sulan Li
Format: Article
Language:English
Published: SpringerOpen 2018-03-01
Series:Advances in Difference Equations
Subjects:
LTI fractional-order system
Poly-topic uncertainty
Two-norm bounded uncertainty
Robust stability
Linear matrix inequality
Online Access:http://link.springer.com/article/10.1186/s13662-018-1542-x
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spelling doaj-1d9ebc89b5314c3cb96ea225510afffe2020-11-25T00:55:10ZengSpringerOpenAdvances in Difference Equations1687-18472018-03-012018111310.1186/s13662-018-1542-xRobust stability and stabilization of LTI fractional-order systems with poly-topic and two-norm bounded uncertaintiesSulan Li0Key Laboratory of Electronic Equipment Structure Design of Ministry of Education, Xidian UniversityAbstract This paper investigates the problems of robust stability and stabilization of LTI fractional-order systems with poly-topic and two-norm bounded uncertainties. Firstly, some sufficient conditions of the robust asymptotical stable for such fractional-order uncertain systems are derived. Secondly, the robust stabilizing state-feedback controller is designed. All the results are obtained in terms of linear matrix inequalities (LMIs). Lastly, three numerical examples are provided to demonstrate the correctness and effectiveness of the proposed approaches.http://link.springer.com/article/10.1186/s13662-018-1542-xLTI fractional-order systemPoly-topic uncertaintyTwo-norm bounded uncertaintyRobust stabilityLinear matrix inequality
collection DOAJ
language English
format Article
sources DOAJ
author Sulan Li
spellingShingle Sulan Li
Robust stability and stabilization of LTI fractional-order systems with poly-topic and two-norm bounded uncertainties
Advances in Difference Equations
LTI fractional-order system
Poly-topic uncertainty
Two-norm bounded uncertainty
Robust stability
Linear matrix inequality
author_facet Sulan Li
author_sort Sulan Li
title Robust stability and stabilization of LTI fractional-order systems with poly-topic and two-norm bounded uncertainties
title_short Robust stability and stabilization of LTI fractional-order systems with poly-topic and two-norm bounded uncertainties
title_full Robust stability and stabilization of LTI fractional-order systems with poly-topic and two-norm bounded uncertainties
title_fullStr Robust stability and stabilization of LTI fractional-order systems with poly-topic and two-norm bounded uncertainties
title_full_unstemmed Robust stability and stabilization of LTI fractional-order systems with poly-topic and two-norm bounded uncertainties
title_sort robust stability and stabilization of lti fractional-order systems with poly-topic and two-norm bounded uncertainties
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2018-03-01
description Abstract This paper investigates the problems of robust stability and stabilization of LTI fractional-order systems with poly-topic and two-norm bounded uncertainties. Firstly, some sufficient conditions of the robust asymptotical stable for such fractional-order uncertain systems are derived. Secondly, the robust stabilizing state-feedback controller is designed. All the results are obtained in terms of linear matrix inequalities (LMIs). Lastly, three numerical examples are provided to demonstrate the correctness and effectiveness of the proposed approaches.
topic LTI fractional-order system
Poly-topic uncertainty
Two-norm bounded uncertainty
Robust stability
Linear matrix inequality
url http://link.springer.com/article/10.1186/s13662-018-1542-x
work_keys_str_mv AT sulanli robuststabilityandstabilizationofltifractionalordersystemswithpolytopicandtwonormboundeduncertainties
_version_ 1725231673164955648

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