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中文摘要：
重复控制方法已在很多复杂的控制系统中得到了广泛的应用。针对一类多维线性系统,提出输出反馈鲁棒重复控制方法。根据重复控制的设计方法,建立了系统模型,结合Lypapunov函数和线性矩阵不等式（LMI）,推导出闭环系统的稳定条件。仿真实例表明所设计的重复控制系统具有较好的鲁棒稳定性和系统跟踪性能。
英文摘要：
The repetitive control method has been widely used in many complex control system. In this paper,the robust repetitive control method of output feedback is put forward for the first class multidimensional linear system. The system model was established according to the design method of repetitive control. The stability conditions of closed-loop system were derived in combination with the Lypapunov function and linear matrix inequality（LMI）method. Simulation results show that the repetitive control system has high robust stability and tracking performance.
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