Stability and Stabilization of T–S Fuzzy Systems Under Sampled-Data Control via a Matrix-Separation-Based Inequality

The focus of this article is on maintaining the stability and stabilization of Takagi–Sugeno (T–S) fuzzy systems under conditions of time-delay and sampled-data control. The objective is to introduce stability analysis and synthesis methods that are less conservative. First, a novel sampling point-dependent looped-functional with augmented integral terms is constructed. Then, we propose a matrix-separation-based inequality to obtain a compact estimation for the augmented integral term. Stability and stabilization results with reduced conservatism are obtained based on the above innovative method. The superiority and efficacy of the proposed methods are ultimately demonstrated through the presentation of three examples.