On H∞ Filtering for continuous-time Takagi-Sugeno Fuzzy Systems in Low frequency domain

This paper deals with the problem of H
_∞
filtering for T-S fuzzy continuous-time systems in low frequency (LF) domain. The objective is to propose a new design sufficient condition via linear matrix Inequality (LMIs) formulations, ensuring that the error system is stable and has a minimized H
_∞
performance when frequency ranges of noises are known beforehand. Less conservative results are obtained by using the new low frequency (LF) H
_∞
performance index is firstly defined, projection lemma and some independent matrices. Simulation example demonstrate the technique and its advantage.