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Journal of Control Science and Engineering
Volume 2010 (2010), Article ID 482561, 8 pages
Research Article

Static Output Feedback Control Design for Descriptor Systems

1(Institut de Recherche en Communications et Cybernétique de Nantes) IRCCyN, UMR CNRS, 6597 at 1 rue de la Noë, B.P. 93101, 44432 Nantes Cedex 3, France
2(Ecole des Mines de Nantes) EMN, 4 rue Alfred Kastler La Chantrerie, 44307 Nantes, France

Received 9 December 2009; Accepted 19 May 2010

Academic Editor: L. Z. Yu

Copyright © 2010 Mohamed Yagoubi. 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.


The static output feedback (SOF) synthesis problem for descriptor systems is considered in this paper. LMI-based algorithms are proposed to find potentially structured SOF gains ensuring admissibility and even H performance of the closed-loop system. These algorithms are then used to propose a (descriptor) observer-based H controller design method. An alternative technique for determining such separated estimation/control structure, after the design step, is also proposed. Several numerical examples, throughout the paper, demonstrate the effectiveness of the proposed algorithms.