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General Output Feedback Stabilization for Fractional Order Systems: An LMI Approach
Joint Authors
Wei, Yiheng
Liang, Shu
Gao, Qing
Wang, Yong
Karimi, Hamid Reza
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-20
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper is concerned with the problem of general output feedback stabilization for fractional order linear time-invariant (FO-LTI) systems with the fractional commensurate order 0 < α < 2 .
The objective is to design suitable output feedback controllers that guarantee the stability of the resulting closed-loop systems.
Based on the slack variable method and our previous stability criteria, some new results in the form of linear matrix inequality (LMI) are developed to the static and dynamic output feedback controllers synthesis for the FO-LTI system with 0 < α < 1 .
Furthermore, the results are extended to stabilize the FO-LTI systems with 1 ≤ α < 2 .
Finally, robust output feedback control is discussed.
Numerical examples are given to illustrate the effectiveness of the proposed design methods.
American Psychological Association (APA)
Wei, Yiheng& Karimi, Hamid Reza& Liang, Shu& Gao, Qing& Wang, Yong. 2014. General Output Feedback Stabilization for Fractional Order Systems: An LMI Approach. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1033971
Modern Language Association (MLA)
Wei, Yiheng…[et al.]. General Output Feedback Stabilization for Fractional Order Systems: An LMI Approach. Abstract and Applied Analysis No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1033971
American Medical Association (AMA)
Wei, Yiheng& Karimi, Hamid Reza& Liang, Shu& Gao, Qing& Wang, Yong. General Output Feedback Stabilization for Fractional Order Systems: An LMI Approach. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1033971
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033971