H-infinity Filtering of T-S Fuzzy Systems in Finite Frequency Domain
Résumé
This paper considers the H-infinity 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-infinity 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.