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

M. Chaabane, F. Tadeo, D. Mehdi and M. Souissi

Mathematical Problems in Engineering, 2011, vol. 2011, 1-10

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.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:960981

DOI: 10.1155/2011/960981

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