Passivity analysis of uncertain T-S fuzzy systems with time delay: Delayed feedback

The passivity and feedback passification of T-S fuzzy systems with norm bounded uncertainties are considered. Attention is focused on the design of memoryless and delayed feedback controllers because the kinds of controllers have not been fully investigated. An appropriate selection of Lyapunov-Krasovskii function and introduction of free weighting matrices, which make the obtained condition less conservative, generalize sufficient conditions. In terms of a linear matrix inequality(LMI), we obtain delay-dependent sufficient conditions which guarantees the passivity based stabilization of the closed-loop system for all admissible uncertainties. A numerical example is given to show the correctness and effectiveness of our theoretical results.