2-D线性离散系统一般模型的最优状态估计

Optimal State Estimation for 2-D Linear Discrete General Model

本文利用最优状态估计理论，讨论了二维线性离散系统一般模型（2－DGeneralModel,简称2－DGM）最优状态估计问题．基于2－DGM的变结构1－D表示，导出了表现为1－D形式的2－DGM的最优状态估计器．文中还直接由2－DGM出发，将1－D最优状态估计的思想推广到2－D情形，提出了2－D状态估计器的设计方法．

By using the existing optimal state estimation theory,the problem of optimal state estimation for two-dimensional (2-D) linear discrete systems has been discussed in this paper. On the basis of its reduction to 1-D systems with variable structure,the 1-D optimal state estimators for 2-D general model(GM) have been inferred. Furthermore,the approach for designing the 2-D state estimator has been directly produced from 2-D GM by extending the 1-D results to 2-D setting.