T-S模糊系统量化H_∞滤波器设计

H_∞ filter design for T-S fuzzy system with quantized measurements

本文研究了离散T-S模糊系统H∞量化滤波问题。主要目的是针对存在量化的T-S模糊反馈系统设计可行的滤波器算法使其在消除量化的影响下渐进稳定的并满足给定H∞性能指标。具体是通过模糊Lyapunov函数及引入松弛变量,提出了比文献中结果保守性低的基于线性矩阵不(LMIs)的滤波器存在的充分条件。最后,通过数值仿真例子来验证设计方案的有效性。

This paper considers the problem of H∞filter design for T-S fuzzy system with out-put quantization. Attention is focused on the design of a filter to mitigate the quantization effects, which ensured not only the asymptotical stability but also a prescribed H∞ performance. By using fuzzy Lyapunov function approach and adding slack matrix variables, a sufficient condition is presented in terms of linear matrix inequalities （LMIs） for such filter exists. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed approach.