Dynamic Output-Feedback Passivity Control for Fuzzy Systems under Variable Sampling

摘要

This paper concerns the problem of dynamic output-feedback control for a class of nonlinearsystems with nonuniform uncertain sampling via Takagi-Sugeno (T-S) fuzzy control approach. Thesampling 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-dependentLyapunov-Krasovskii functional is chosen for fuzzy systems under variable sampling. Byusing Lyapunov stability theory, a sufficient condition for very-strict passive analysis of fuzzy systemswith nonuniform uncertain sampling is derived. Based on this condition, a novel fuzzy dynamic output-feedbackcontroller is designed such that the closed-loop system is very-strictly passive. The existencecondition of the controller can be solved by convex optimization approach. Finally, a numerical exampleis provided to demonstrate the effectiveness of the proposed method.