Robust Stabilization Approach and H∞ Performance via Static Output Feedback for a Class of Nonlinear Systems
Joint Authors
Bedioui, Neila
Ksouri, Mekki
Salhi, Salah
Source
Mathematical Problems in Engineering
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-07-14
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
This paper deals with the stability and stabilization problems for a class of discrete-time nonlinear systems.
The systems are composed of a linear constant part perturbated by an additive nonlinear function which satisfies a quadratic constraint.
A new approach to design a static output feedback controller is proposed.
A sufficient condition, formulated as an LMI optimization convex problem, is developed.
In fact, the approach is based on a family of LMI parameterized by a scalar, offering an additional degree of freedom.
The problem of performance taking into account an H∞ criterion is also investigated.
Numerical examples are provided to illustrate the effectiveness of the proposed conditions.
American Psychological Association (APA)
Bedioui, Neila& Salhi, Salah& Ksouri, Mekki. 2009. Robust Stabilization Approach and H∞ Performance via Static Output Feedback for a Class of Nonlinear Systems. Mathematical Problems in Engineering،Vol. 2009, no. 2009, pp.1-22.
https://search.emarefa.net/detail/BIM-475495
Modern Language Association (MLA)
Bedioui, Neila…[et al.]. Robust Stabilization Approach and H∞ Performance via Static Output Feedback for a Class of Nonlinear Systems. Mathematical Problems in Engineering No. 2009 (2009), pp.1-22.
https://search.emarefa.net/detail/BIM-475495
American Medical Association (AMA)
Bedioui, Neila& Salhi, Salah& Ksouri, Mekki. Robust Stabilization Approach and H∞ Performance via Static Output Feedback for a Class of Nonlinear Systems. Mathematical Problems in Engineering. 2009. Vol. 2009, no. 2009, pp.1-22.
https://search.emarefa.net/detail/BIM-475495
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-475495