Robust stabilization approach and \(H_{\infty}\) performance via static output feedback for a class of nonlinear systems (Q1036362)
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scientific article; zbMATH DE number 5632491
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Robust stabilization approach and \(H_{\infty}\) performance via static output feedback for a class of nonlinear systems |
scientific article; zbMATH DE number 5632491 |
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Robust stabilization approach and \(H_{\infty}\) performance via static output feedback for a class of nonlinear systems (English)
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13 November 2009
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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 linear matrix inequality (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 \(H_{\infty }\) criterion is also investigated. Numerical examples are provided to illustrate the effectiveness of the proposed conditions.
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discrete-time nonlinear systems
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static output feedback controller
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LMI optimization convex problem
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