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

Abstract EN

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.