A new stabilization problem for Takagi–Sugeno (T–S) fuzzy systems involving time-varying delay and interval uncertainties is investigated in this paper. Firstly, a new stabilization condition on dynamic output feedback control for T–S fuzzy systems is proposed. Meanwhile, a robust H_∞-γ stabilization criterion for T–S fuzzy systems is presented based on Lyapunov–Krasovskii function. In addition, an incremental sampling method based on loss function is developed to deal with interval uncertainties of T–S fuzzy systems. Sequentially, the stabilization problem is calculated by combining a linear matrix inequality approach with the incremental sampling method. Lastly, two numerical examples are provided to illustrate the effectiveness and feasibility of the proposed approach.

本文研究了时变时滞和区间不确定性的Takagi-Sugeno（TS）模糊系统的一个新的镇定问题。首先，提出了一种针对TS模糊系统的动态输出反馈控制的稳定条件。同时，坚固的ħ _∞ - γ为T-S模糊系统稳定判据基于Lyapunov-Krasovskii泛函数给出。另外，开发了一种基于损失函数的增量采样方法来处理TS模糊系统的区间不确定性。随后，通过将线性矩阵不等式方法与增量采样方法相结合来计算稳定问题。最后，提供了两个数值示例来说明该方法的有效性和可行性。