Stabilisation of Takagi-Sugeno fuzzy singular fractional-order systems subject to actuator saturation

In this paper, the stabilisation of fuzzy singular fractional-order systems (FOSs) with order is discussed. Firstly, the sufficient conditions of fuzzy singular FOSs with actuator saturation are proposed. Further, the stabilisation criteria are given when the fuzzy singular FOSs are reduced to singu...

Full description

Saved in:
Bibliographic Details
Published inInternational journal of systems science Vol. 51; no. 16; pp. 3225 - 3236
Main Authors Zhang, Xuefeng, Wang, Zhe
Format Journal Article
LanguageEnglish
Published London Taylor & Francis 09.12.2020
Taylor & Francis Ltd
Subjects
actuator saturation
Actuators
Fractional-order systems
Fuzzy systems
linear matrix inequalities
Optimization
Saturation
singular systems
stabilisation
Online AccessGet full text

Cover

More Information
Summary:In this paper, the stabilisation of fuzzy singular fractional-order systems (FOSs) with order is discussed. Firstly, the sufficient conditions of fuzzy singular FOSs with actuator saturation are proposed. Further, the stabilisation criteria are given when the fuzzy singular FOSs are reduced to singular FOSs, including those with equality constraints and without equality constraints. Then, based on the proposed stabilisation conditions, we can estimate the stability region by solving an optimisation problem. Finally, two numerical examples are given to verify the effectiveness of our results.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0020-7721
1464-5319
DOI:10.1080/00207721.2020.1809749