This paper introduces a novel delay-dependent condition for static output-feedback control of Takagi–Sugeno (TS) fuzzy models with time-varying delay. A distinctive feature of the proposed approach is the local asymptotic stability of the origin of the closed-loop system, unlike other works in the literature. This ensures the correct operation of the closed-loop system since its trajectories remain inside the guaranteed region of attraction estimation obtained inside of the validity region of the TS fuzzy model. A numerical example illustrates the potential and effectiveness of the proposed conditions.

中文翻译：

---

基于静态输出反馈控制的时滞模糊系统保证吸引区域估计

本文介绍了一种新的延迟相关条件，用于对具有时变延迟的 Takagi-Sugeno (TS) 模糊模型进行静态输出反馈控制。与文献中的其他作品不同，所提出的方法的一个显着特征是闭环系统起源的局部渐近稳定性。这确保了闭环系统的正确运行，因为它的轨迹保持在 TS 模糊模型的有效区域内获得的吸引力估计的保证区域内。一个数值例子说明了所提出条件的潜力和有效性。