New H∞ filter design approach for time-delay fuzzy-model-based system under imperfect premise matching

Abstract

The paper concerns the issue of H∞ fuzzy filter design for T-S fuzzy-model based system involving time-delay. In the light of the Lyapunov stability theory, improved stability criteria for the filtering system are developed, and corresponding H∞ fuzzy filter design approaches are proposed as well, all the derived results are given as the feasibility of LMIs. Besides, the novel imperfect premise matching methodology is adopted to derive the H∞ fuzzy filter, which allows the H∞ fuzzy filter and the T-S fuzzy model have distinct membership functions and different number of fuzzy rules, such design can provide larger design flexibility and better robustness property. Finally, two numerical examples are offered to clarify the validity and the superiority of the designed method.