不确定离散脉冲系统的鲁棒H_∞滤波问题

Robust H_∞Filtering for Discrete-Time Impulsive Systems With Uncertainty

研究一类离散脉冲不确定系统的鲁棒H_∞滤波器设计问题.首先,介绍了脉冲线性滤波器与离散脉冲系统的鲁棒H_∞滤波问题.其次,基于离散Liapunov函数方法,给出了用线性矩阵不等式表达的滤波误差系统渐近稳定的充分条件与H_∞脉冲线性滤波器的设计方法.最后,给出数值例子说明结果的有效性.

Robust filter design for linear discrete-time impulsive systems with uncertainty under H∞ performance is investigated. First, an impulsive linear filter and robust H∞ filtering problem were introduced for a discrete-time impulsive systems. Then, sufficient condition of asymptotical stability and H∞ performance for the filtering error system was provided by discrete-time Liapunov function method, and the filter gains can be obtained by solving a set of linear matrix inequalities （LMIs）. Finally, a numerical example was also included to illustrate the effectiveness of the proposed result.