Sufficient Dilated LMI Conditions for H∞ Static Output Feedback Robust Stabilization of Linear Continuous-Time Systems
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-07
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
New sufficient dilated linear matrix inequality (LMI) conditions for the H∞ static output feedback control problem of linear continuous-time systems with no uncertainty are proposed.
The used technique easily and successfully extends to systems with polytopic uncertainties, by means of parameter-dependent Lyapunov functions (PDLFs).
In order to reduce the conservatism existing in early standard LMI methods, auxiliary slack variables with even more relaxed structure are employed.
It is shown that these slack variables provide additional flexibility to the solution.
It is also shown, in this paper, that the proposed dilated LMI-based conditions always encompass the standard LMI-based ones.
Numerical examples are given to illustrate the merits of the proposed method.
American Psychological Association (APA)
Dabboussi, Kamel& Zrida, Jalel. 2012. Sufficient Dilated LMI Conditions for H∞ Static Output Feedback Robust Stabilization of Linear Continuous-Time Systems. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-993724
Modern Language Association (MLA)
Dabboussi, Kamel& Zrida, Jalel. Sufficient Dilated LMI Conditions for H∞ Static Output Feedback Robust Stabilization of Linear Continuous-Time Systems. Journal of Applied Mathematics No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-993724
American Medical Association (AMA)
Dabboussi, Kamel& Zrida, Jalel. Sufficient Dilated LMI Conditions for H∞ Static Output Feedback Robust Stabilization of Linear Continuous-Time Systems. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-993724
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993724