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

Abstract EN

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.