研究了带有状态时滞的多采样率线性离散时间广义因果系统的最优输出调节器的设计问题.首先利用离散提升技术将原系统转化为形式上无时滞的系统.再通过等价变换,利用系统的因果性特点将其化为一个正常系统.继续对系统进行离散提升,导出一个形式上简单的单采样率系统.然后将原系统的二次性能指标函数修正为单采样率系统的二次性能指标函数,进而利用最优调节原理,得到其最优调节器.再经过变换,得到多采样率系统的最优输出调节器.同时对导出的单采样率系统的能稳定性和能检测性进行了讨论,给出了严格的数学证明.最后的数值仿真表明,本文所设计的最优调节器是有效的. The design of the optimal output regulator for a multi-sample linear discrete-time generalized causal system with state delay is studied. First, the original system is transformed into a formally time-delay system by discrete lifting technique. , Using the causality of the system to turn it into a normal system.We continue to discretely upgrade the system to derive a formally simple single sampling rate system.And then the quadratic performance index function of the original system is amended as a single sampling rate system The second order performance index function, and then use the optimal regulation principle to get the optimal regulator .After transformation, get the optimal output regulator of the multi-sampling rate system.At the same time, the single-sample rate system stability and energy The testability is discussed and a rigorous mathematical proof is given.The last numerical simulation shows that the optimal regulator designed in this paper is effective.