H∞ filtering of T-S fuzzy systems in Finite Frequency domain
Abderrahim El‐Amrani, Abdelaziz Hmamed, Bensalem Boukili, Ahmed El Hajjaji · 2016
This paper considers the H∞ filtering for nonlinear discrete-time systems in the Takagi-Sugeno (T-S) fuzzy model. The approach is based on the fuzzy filters in Finite Frequency (FF) domain. The objective is to propose a new design with sufficient condition via LMI formulations. Less conservative results are obtained by introducing slack matrices. This method provides extra degree of freedom in optimization of the H∞ performance. Three fuzzy filters are designed to deal with noises in Low-, Middle- and High-Frequency domain (LF,MF,HF), respectively. The efficiency of the proposed approach is shown be an example.