Observer-Based Robust Controller Design for Nonlinear Fractional-Order Uncertain Systems via LMI
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-08-28
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We discuss the observer-based robust controller design problem for a class of nonlinear fractional-order uncertain systems with admissible time-variant uncertainty in the case of the fractional-order satisfying 0<α<1.
Based on direct Lyapunov approach, a sufficient condition for the robust asymptotic stability of the observer-based nonlinear fractional-order uncertain systems is presented.
Employing Finsler’s Lemma, the systematic robust stabilization design algorithm is then proposed in terms of linear matrix inequalities (LMIs).
The efficiency and advantage of the proposed algorithm are finally illustrated by two numerical simulations.
American Psychological Association (APA)
Qiu, Jing& Ji, Yude. 2017. Observer-Based Robust Controller Design for Nonlinear Fractional-Order Uncertain Systems via LMI. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-15.
https://search.emarefa.net/detail/BIM-1192245
Modern Language Association (MLA)
Qiu, Jing& Ji, Yude. Observer-Based Robust Controller Design for Nonlinear Fractional-Order Uncertain Systems via LMI. Mathematical Problems in Engineering No. 2017 (2017), pp.1-15.
https://search.emarefa.net/detail/BIM-1192245
American Medical Association (AMA)
Qiu, Jing& Ji, Yude. Observer-Based Robust Controller Design for Nonlinear Fractional-Order Uncertain Systems via LMI. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-15.
https://search.emarefa.net/detail/BIM-1192245
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1192245