Nonfragile fuzzy dynamic output feedback control for nonlinear systems with multiplicative gain uncertainty

Abstract The paper focuses on the problem of nonfragile fuzzy dynamic output feedback control for continuous‐time nonlinear systems. This study aims to develop a method for nonfragile dynamic output feedback control with multiplicative gain uncertainty, ensuring that the closed‐loop system meets the performance and guarantees stability. To address the issue of the integral Lyapunov function, the matrix decoupling technique is proposed. In addition, combined with the Takagi‐Sugeno fuzzy model, the relevant linear matrix inequality based on the multiplicative nonfragile dynamic feedback controller was obtained. Finally, the performance of the proposed technique is substantiated via two separate simulation examples.