Authors: Abderrahim El-Amrani; Ahmed El Hajjaji; Ismail Boumhidi; Abdelaziz Hmamed
Addresses: LESSI, Department of Physics, Faculty of Sciences Dhar El Mehraz, B.P. 1796 Fes-Atlas, Morocco ' MIS Lab, University of Picardie Jules-Vernes, UFR of Sciences, 33 rue, St Leu, 80000 Amiens, France ' LESSI, Department of Physics, Faculty of Sciences Dhar El Mehraz, B.P. 1796 Fes-Atlas, Morocco ' LESSI, Department of Physics, Faculty of Sciences Dhar El Mehraz, B.P. 1796 Fes-Atlas, Morocco
Abstract: This paper investigates the design problem of H∞ filtering for discrete nonlinear systems in the Takagi-Sugeno (T-S) form. Our aim is to design a new filter guaranteeing an H∞ performance level in specific finite frequency (FF) ranges. Using the well-known generalised Kalman Yakubovich Popov lemma, Finsler's lemma, sufficient conditions for the existence of H∞ filters for different FF ranges are proposed and then unified in terms of solving a set of linear matrix inequalities (LMIs). Two examples are given to illustrate the effectiveness and the less conservatism of the proposed approach in comparison with the existing methods.
Keywords: finite frequency; H∞ filtering; Takagi-Sugeno; fuzzy systems.
International Journal of Systems, Control and Communications, 2020 Vol.11 No.1, pp.1 - 24
Received: 12 Feb 2018
Accepted: 19 Jan 2019
Published online: 20 Feb 2020 *