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中文摘要：
针对一类时变不确定系统，研究基于状态观测器的鲁棒重复控制系统设计问题．通过状态观测器重构系统状态，利用重构状态进行状态反馈．基于2维系统稳定性理论，应用线性矩阵不等式（LMI）方法，推导出了重复控制系统存在状态观测器和重复控制器的一个LMI条件，并用LMI的可行解给出了状态观测器和重复控制器参数的具体形式．最后用数值仿真验证了本文所提方法的有效性．
英文摘要：
The problem of designing a robust repetitive-control system is studied based on a state observer for a class of plants with structural time-varying uncertainties. The reconstructed states from the state observer are employed in the state-feedback controller design. Based on the stability theory of two-dimensional （2D） systems, a sufficient condition for the existence of the state observer and the repetitive controller for the repetitive control system are presented in terms of a linear matrix inequality （LMI） whose feasible solutions are utilized to determine the parameters of the state observer and the repetitive controller. A numerical example demonstrates the effectiveness of the method.
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