caa a22 4500 606205284 CHVBK 20210128101006.0 cr unu---uuuuu 210128e20150701xx s 000 0 eng 10.1007/s00034-015-9967-x doi (NATIONALLICENCE)springer-10.1007/s00034-015-9967-x Robust $$H_{\infty }$$ H ∞ Filtering for Uncertain 2D Singular Roesser Models [Elektronische Daten] [Said Kririm, Abdelaziz Hmamed, Fernando Tadeo] This paper addresses the design of robust $$H_{\infty }$$ H ∞ filters for polytopic 2D discrete singular systems described by a Roesser model. By establishing a novel version of the bounded real lemma, a polynomially parameter-dependent approach is developed to solve this filter design problem, with a new linear matrix inequality condition obtained for the existence of those $$H_{\infty }$$ H ∞ filters. It is also shown that the proposed filter design method is general, in the sense that the results are also useful for standard (non-singular) systems. To show the applicability of the proposed filter design methodology, some examples are solved and compared with previous results. Springer Science+Business Media New York, 2015 2D singular systems nationallicence $$H_\infty $$ H ∞ filtering nationallicence Polytopic uncertainty nationallicence Kririm Said Faculty of Sciences Dhar El Mehraz, University of Sidi Mohamed Ben Abdellah, B.P. 1796, Fes-Atlas, Morocco aut Hmamed Abdelaziz Faculty of Sciences Dhar El Mehraz, University of Sidi Mohamed Ben Abdellah, B.P. 1796, Fes-Atlas, Morocco aut Tadeo Fernando Dept. Ingenieria de Sistemas y Automatica, Universidad de Valladolid, 47005, Valladolid, Spain aut Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/7(2015-07-01), 2213-2235 0278-081X 34:7<2213 2015 34 34 https://doi.org/10.1007/s00034-015-9967-x text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00034-015-9967-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kririm Said Faculty of Sciences Dhar El Mehraz, University of Sidi Mohamed Ben Abdellah, B.P. 1796, Fes-Atlas, Morocco aut NATIONALLICENCE 700 1- Hmamed Abdelaziz Faculty of Sciences Dhar El Mehraz, University of Sidi Mohamed Ben Abdellah, B.P. 1796, Fes-Atlas, Morocco aut NATIONALLICENCE 700 1- Tadeo Fernando Dept. Ingenieria de Sistemas y Automatica, Universidad de Valladolid, 47005, Valladolid, Spain aut NATIONALLICENCE 773 0- Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/7(2015-07-01), 2213-2235 0278-081X 34:7<2213 2015 34 34