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Robust Stabilization Approach and ð » âˆž Performance via Static Output Feedback for a Class of Nonlinear Systems

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  • Neila Bedioui
  • Salah Salhi
  • Mekki Ksouri

Abstract

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 ð » âˆž criterion is also investigated. Numerical examples are provided to illustrate the effectiveness of the proposed conditions.

Suggested Citation

  • Neila Bedioui & Salah Salhi & Mekki Ksouri, 2009. "Robust Stabilization Approach and ð » âˆž Performance via Static Output Feedback for a Class of Nonlinear Systems," Mathematical Problems in Engineering, Hindawi, vol. 2009, pages 1-22, July.
    • Handle: RePEc:hin:jnlmpe:486470
    DOI: 10.1155/2009/486470
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