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Robust Admissibilization of Descriptor Systems by Static Output-Feedback: An LMI Approach

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  • M. Chaabane
  • F. Tadeo
  • D. Mehdi
  • M. Souissi

Abstract

The problem of the stabilization of descriptor systems in continuous-time via static output-feedback is studied in this paper and an approach to solve it is proposed. For this, sufficient conditions are derived for the closed-loop system to be admissible (i.e., stable, regular, and impulse-free). These conditions are expressed in terms of a strict Linear Matrix Inequality (LMI); so they are tractable using numerical computations. The proposed controller design methodology is based on two steps: the first is dedicated to synthesizing a classical state-feedback controller, which is used as the initial value for the second step, which uses an LMI problem to obtain static output-feedback controllers that give admissibility. Finally, a numerical example is given to illustrate the results.

Suggested Citation

  • M. Chaabane & F. Tadeo & D. Mehdi & M. Souissi, 2011. "Robust Admissibilization of Descriptor Systems by Static Output-Feedback: An LMI Approach," Mathematical Problems in Engineering, Hindawi, vol. 2011, pages 1-10, May.
    • Handle: RePEc:hin:jnlmpe:960981
    DOI: 10.1155/2011/960981
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