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

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). Th...

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Bibliographic Details
Published in:Mathematical Problems in Engineering 2011-01, Vol.2011 (2011), p.1122-1131-265
Main Authors: Chaabane, M., Tadeo, Fernando, Mehdi, Driss, Souissi, M.
Format: Article
Language:English
Subjects:
Closed loops
Control systems design
Design engineering
Engineering
Feedback control
Linear matrix inequalities
Mathematical models
Methodology
Numerical analysis
Output feedback
Stabilization
State feedback
Studies
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Summary: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.
ISSN:1024-123X
1563-5147
DOI:10.1155/2011/960981