中文摘要：

研究了一类基于T-S模糊模型的非线性离散时间系统H∞滤波的设计问题.假设系统的量测信号传输到滤波器所引起的时滞是时变且有界的,也就是说,时变时滞的上界和下界均已知.目的是设计H∞滤波器,使得滤波误差系统内渐近稳定且具有给定的H∞性能指标.首先基于模糊Lyapunov函数方法和Finsler引理,给出了H∞滤波器存在的时滞依赖充分条件.在此基础上,利用线性矩阵不等式方法设计了H∞滤波器.最后,利用数值例子说明了设计方法的有效性.

英文摘要：

Based on T-S fuzzy model,H∞ filtering design for a class of discrete-time nonlinear systems was investigated.The delay caused by transmitting the measurement to the filter was assumed to be time-varying and bounded,which meant that both the lower and upper bounds of the time-varying delay were available.The aim was to design a H∞ filter with asymptotically stable system error and prescribed H∞ performance index.Combined fuzzy Lyapunov function approach with Finsler′s lemma,a delay-dependent sufficient condition for the existence of H∞ filter was derived.Then,the filter was designed by using linear matrix inequality techniques.Numerical example illustrates the effectiveness of the proposed approach.