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Abstract and Applied Analysis
Volume 2014, Article ID 714518, 9 pages
Research Article

Observers of Fuzzy Descriptor Systems with Time-Delays

School of Mathematics, Shandong University, Jinan 250100, China

Received 25 March 2014; Revised 11 June 2014; Accepted 13 June 2014; Published 6 July 2014

Academic Editor: Elena Braverman

Copyright © 2014 Hongbiao Fan 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.


For discrete fuzzy descriptor systems with time-delays, the problem of designing fuzzy observers is investigated in this paper. Based on an equivalent transformation, discrete fuzzy descriptor systems with time-delays are converted into standard discrete systems with time-delays. Then, via linear matrix inequality (LMI) approach, both delay-dependent and delay-independent conditions for the existence of fuzzy state observers are obtained. Finally, two numerical examples are provided to illustrate the proposed method.