Li, Hongyi; Sun, Xingjian; Karimi, H. R.; Niu, Ben Dynamic output-feedback passivity control for fuzzy systems under variable sampling. (English) Zbl 1299.93157 Math. Probl. Eng. 2013, Article ID 767093, 10 p. (2013). Summary: This paper concerns the problem of dynamic output-feedback control for a class of nonlinear systems with nonuniform uncertain sampling via Takagi-Sugeno (T-S) fuzzy control approach. The sampling is not required to be periodic, and the state variables are not required to be measurable. A new type fuzzy dynamic output-feedback sampled-data controller is constructed, and a novel time-dependent Lyapunov-Krasovskii functional is chosen for fuzzy systems under variable sampling. By using Lyapunov stability theory, a sufficient condition for very-strict passive analysis of fuzzy systems with nonuniform uncertain sampling is derived. Based on this condition, a novel fuzzy dynamic output-feedback controller is designed such that the closed-loop system is very-strictly passive. The existence condition of the controller can be solved by convex optimization approach. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed method. Cited in 2 Documents MSC: 93C42 Fuzzy control/observation systems 93C57 Sampled-data control/observation systems 93D15 Stabilization of systems by feedback Software:Matlab PDFBibTeX XMLCite \textit{H. Li} et al., Math. Probl. Eng. 2013, Article ID 767093, 10 p. (2013; Zbl 1299.93157)