Robust Stabilization Approach and H_∞ Performance via Static Output Feedback for a Class of Nonlinear Systems

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 co...

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Bibliographic Details
Published inMathematical Problems in Engineering Vol. 2009; no. 1; pp. 1427 - 1448-85
Main Authors Bedioui, Neila, Salhi, Salah, Ksouri, Mekki
Format Journal Article
LanguageEnglish
Published Hindawi Limiteds 2009
Hindawi Publishing Corporation
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Summary: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.
ISSN:1024-123X
1563-5147
DOI:10.1155/2009/486470