Improved finite frequency H∞ filtering for Takagi-Sugeno fuzzy systems

被引:0
作者
El-Amrani A. [1 ]
Hajjaji A.E. [2 ]
Boumhidi I. [1 ]
Hmamed A. [1 ]
机构
[1] LESSI, Department of Physics, Faculty of Sciences Dhar El Mehraz, B.P. 1796, Fes-Atlas
[2] MIS Lab, University of Picardie Jules-Vernes, UFR of Sciences, 33 rue, St Leu, Amiens
来源
International Journal of Systems, Control and Communications | 2020年 / 11卷 / 01期
关键词
Finite frequency; Fuzzy systems; H∞; filtering; Takagi-Sugeno;
D O I
10.1504/IJSCC.2020.105391
中图分类号
学科分类号
摘要
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. Copyright © 2020 Inderscience Enterprises Ltd.
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页码:1 / 24
页数:23
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