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Robust Nonfragile Controllers Design for Fractional Order Large-Scale Uncertain Systems with a Commensurate Order 1 < α < 2
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-03-02
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The paper concerns the problem of stabilization of large-scale fractional orderuncertain 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.
American Psychological Association (APA)
Lin, Jianyu. 2015. Robust Nonfragile Controllers Design for Fractional Order Large-Scale Uncertain Systems with a Commensurate Order 1 < α < 2. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1073223
Modern Language Association (MLA)
Lin, Jianyu. Robust Nonfragile Controllers Design for Fractional Order Large-Scale Uncertain Systems with a Commensurate Order 1 < α < 2. Mathematical Problems in Engineering No. 2015 (2015), pp.1-11.
https://search.emarefa.net/detail/BIM-1073223
American Medical Association (AMA)
Lin, Jianyu. Robust Nonfragile Controllers Design for Fractional Order Large-Scale Uncertain Systems with a Commensurate Order 1 < α < 2. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1073223
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073223