2-D系统一般模型函数观测器设计

Design of functional observers for 2-D GM

为了对2-D系统一般模型(2-D GM)进行状态估计,该文对2-D GM的渐近函数观测器的存在性与设计问题进行了研究。基于矩阵的秩条件给出了2-D GM的渐近函数观测器存在的充要条件。利用线性矩阵不等式方法给出渐近函数观测器的设计方法。通过数值算例验证了该文设计方法的有效性。

In order to estimate the state of two-dimensional systems described by the general model(2-D GM),the beingness and design of functional observers for 2-D GM are studied here.A necessary and sufficient condition of the existence of the asymptotic functional observers is given based on a rank condition of the given system matrices.The design of asymptotical functional observers is presented by using a linear matrix inequality(LMI)approach.A numerical example is provided to show the effectiveness of the proposed method.