Improved Stabilization Conditions for Nonlinear Systems with Input and State Delays via T-S Fuzzy Model

Abstract EN

This paper focuses on the problem of nonlinear systems with input and state delays.

The considered nonlinear systems are represented by Takagi-Sugeno (T-S) fuzzy model.

A new state feedback control approach is introduced for T-S fuzzy systems with input delay and state delays.

A new Lyapunov-Krasovskii functional is employed to derive less conservative stability conditions by incorporating a recently developed Wirtinger-based integral inequality.

Based on the Lyapunov stability criterion, a series of linear matrix inequalities (LMIs) are obtained by using the slack variables and integral inequality, which guarantees the asymptotic stability of the closed-loop system.

Several numerical examples are given to show the advantages of the proposed results.