研究了一类带宽受限网络化系统的广义H_2滤波问题.滤波器采用量化后的测量信号作为其输入信号,采用对数量化器,将滤波误差系统建模成范数有界不确定时滞系统.利用Lyapunov稳定性理论和线性矩阵不等式(LMI)技术,得到了滤波误差系统渐近稳定的充分条件以及滤波器的设计方法.数值示例验证了所给算法的可行性.
The generalized H-two filtering problem is studied for a class of networked systems with bandwidth con-straints. The quantized measurement signal is used as the input of the filter. Then, by using the logarithm quantizer, we model the filter-error system as a time-delay system with norm-bounded uncertainty. Sufficient conditions are derived for the asymptotic stability of the filter-error system by the Lyapunov stability theory and the linear matrix inequality (LMI) technique; and the design procedures for the filter are also provided. A numerical example is provided to illustrate the feasibility of the proposed method.