未知输入离散时滞奇异系统的观测器设计

讨论含未知输入的多时滞离散非方奇异系统的观测器设计问题．在两个一般秩的条件下，利用一系列等价变挟，将其转化为一个多时滞正常线性离散系统的观测器设计问题；利用线性矩阵不等式方法，给出了存在一个与系统状态维数相同的观测器的充分条件，并用此观测器对系统的状态和未知输入进行估计．

Observer Design for Discrete Time-delay Singular Systems with Unknown Inputs

The observer design problem for linear discrete multiple delays rectangular singular systems with unknown inputs is discussed. Under two general rank conditions, by using a series of equivalent transformations, the problem is transformed into the observer design problem for standard state-space linear discrete systems with multiple delays. In terms of LMI, a sufficient condition for the existence of an observer whose dimension is the same as the state dimension of the singular system is given, the state and unknown inputs of the system are all estimated by the proposed observer.