State-Feedback Sampled-Data Control Design for Nonlinear Systems via Passive Theory

Abstract EN

This paper investigates the problem of passive controller design for a class of nonlinear systems undervariable sampling.

The Takagi-Sugeno (T-S) fuzzy modeling method is utilized to represent the nonlinearsystems.

Attention is focused on the design of passive controller for the T-S fuzzy systems via sampled-datacontrol approach.

Under the concept of very-strict passivity, a novel time-dependent Lyapunov functional is constructed to develop passive analysis criteria and passive controller synthesis conditions.

A new sampled-data controller is designed to guarantee that the resulting closed-loop system is very-strictlypassive.

These conditions are formulated in the form of linear matrix inequalities (LMIs), whichcan be solved by convex optimization approach.

Finally, an application example is given to demonstratethe feasibility and effectiveness of the proposed results.