T-S模糊时滞系统的时滞相关鲁棒稳定新判据

研究了基于Takagi-Sugeno（T-S）模糊模型描述的非线性时滞系统的稳定性和H∞扰动抑制问题，利用线性矩阵不等式（LMI）技术，导出了一种满足优化H∞性能的时滞相关稳定新判据，该判据不仅适用于系统时滞变化率大于1的情形，且与现有方法相比具有更小的保守性，数值仿真结果证明了所提方法的有效性。

A new criteria on robust delay-dependent stability for T-S fuzzy systems with time-delay

The stability and disturbance attenuation for nonlinear time-delay systems represented by Takagi- Sugeno (T-S) fuzzy models were studied.A new criteria on delay-dependent stability with optimal performance for the nonlinear delay systems was presented in terms of linear matrix inequality (LMI).The criteria is less conservative than some previous results and can still be used even if the time-derivative of the time-delay is larger than 1.The practical applicability of the proposed method was illustrated by a numerical example.