针对一类基于T-S模型的模糊时滞系统,在系统状态不可测的情况下,应用平行分布补偿算法(PDC)设计了状态观测器,并给出了模糊时滞系统渐进稳定的充分条件。应用Lyapunov函数和线性矩阵不等式方法,证明了模糊时滞系统渐进稳定性。仿真结果进一步验证了所提出的方法和条件的有效性。
A stabilization criterion for T-S fuzzy systems with time-delay was proposed, fuzzy observer was designed based on parallel distributed compensation(PDC) under unmeasured states of the system. The stability of the fuzzy systems was proved by using Lyapunov function theory combining with linear matrix inequaltions(LMIs). Simulation results expatiated the effectiveness of the proposed approach and its conditions.