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H∞ Control of Discrete-Time Singularly Perturbed Systems via Static Output Feedback
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-31
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper concentrates on H∞ control problems of discrete-time singularly perturbed systems via static output feedback.
Two methods of designing an H∞ controller, which ensures that the resulting closed-loop system is asymptotically stable and meets a prescribed H∞ norm bound, are presented in terms of LMIs.
Though based on the same matrix transformation, the two approaches are turned into different optimal problems.
The first result is given by an ϵ-independent LMI, while the second result is related to ϵ.
Furthermore, a stability upper bound of the singular perturbation parameter is obtained.
The validity of the proposed two results is demonstrated by a numerical example.
American Psychological Association (APA)
Liu, Dan& Liu, Lei& Yang, Ying. 2013. H∞ Control of Discrete-Time Singularly Perturbed Systems via Static Output Feedback. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-478925
Modern Language Association (MLA)
Liu, Dan…[et al.]. H∞ Control of Discrete-Time Singularly Perturbed Systems via Static Output Feedback. Abstract and Applied Analysis No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-478925
American Medical Association (AMA)
Liu, Dan& Liu, Lei& Yang, Ying. H∞ Control of Discrete-Time Singularly Perturbed Systems via Static Output Feedback. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-478925
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-478925