Passivity and passification of nonlinear fuzzy time-delay systems: Static output feedback

The passivity and feedback passification of T-S fuzzy systems with time-varying norm bounded uncertainties are considered. Attention is focused on the design of static output feedback because the kinds of controllers have not been fully investigated, which is more complex and still unsolved. 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 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. An numerical example is given to show the correctness and effectiveness of our theoretical results.