Robust Admissibilization of Descriptor Systems by Static Output-Feedback: An LMI ApproachReport as inadecuate




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Mathematical Problems in EngineeringVolume 2011 2011, Article ID 960981, 10 pages

Research Article

Research Unit of Industrial Processes Control UCPI, National Engineering School of Sfax, ENIS, Route Soukra Km 3.5, BP 1173, 3038 Sfax, Tunisia

Departamento de Ingenieria de Sistemas y Automatica, Universidad de Valladolid, 47011 Valladolid, Spain

Laboratory of Automatic and Industrial Informatics LAII, Higher School of Engineers of Poitiers ESIP, 40 Avenue du Recteur Pineau, 86022 Poitiers Cedex, France

Received 23 November 2010; Revised 7 February 2011; Accepted 10 March 2011

Academic Editor: J. Rodellar

Copyright © 2011 M. Chaabane et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The problem of the stabilization of descriptor systems in continuous-time viastatic 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.





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

Source: https://www.hindawi.com/



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