In this paper,the reduced-order observer design for a class of discrete-time nonlinear systems is investigated.Based on the differential mean value theorem and Schur complement,the designing method of reduced-order observer for the class of nonlinear systems is proposed.The proposed sufficient conditions are given in terms of linear matrix inequalities.The present approach is applicable not only to the discrete-time differential Lipschitz nonlinear systems but also to the systems which are not ordinary Lipschitz nonlinear systems.Some examples are given to illustrate the proposed approach.%本文研究了一类离散时间非线性系统降维观测器设计问题.利用微分中值定理和Schur补,得到了这类非线性系统降维观测器的设计判据.所给判据为线性矩阵不等式形式.与现在已有文献中的判据相比,本文得到的判据不仅可用于离散时间可微Lipschitz非线性系统而且可用于某些离散时间的非Lipschitz非线性系统.文末,给出了几个仿真算例以验证所得结论的正确性.
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