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Robust observer‐based control design for uncertain singular systems with time‐delay
Author(s) -
Kchaou Mourad,
Gassara Hamdi,
ElHajjaji Ahmed
Publication year - 2014
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.2409
Subject(s) - control theory (sociology) , observer (physics) , impulse (physics) , computer science , mathematics , robustness (evolution) , control (management) , artificial intelligence , biochemistry , chemistry , physics , quantum mechanics , gene
SUMMARY This paper is concerned with the stability analysis and robust dynamic output feedback controller synthesis for uncertain continuous singular systems with time‐delay. First, on the basis of the Lyapunov functional method and by resorting to the delay‐partition technique, improved delay‐dependent sufficient conditions are presented to ensure the nominal unforced system to be admissible (i.e., to be regular, impulse‐free, and stable). Second, with the help of the obtained admissibility criterion, an observer‐based controller is designed by solving a set of LMIs. Finally, the validity and applicability of the proposed approach is shown by examples. Copyright © 2013 John Wiley & Sons, Ltd.