本文考虑具有H∞范数及方差约束的不确定线性离散时间系统的鲁棒控制器设计问题，即设计鲁律控制器，使闭环系统对所有可允的参数扰动保持渐近稳定，同时传递函数满足预先给定的H∞范数约束，且各状态的稳态方差值不大干预先给定值．结果表明，一种有效的代数方法可用来使不确定线性随机离散时间系统满足给定的H∞范数约束及方差约束． In this paper, we consider the robust controller design problem for uncertain linear discrete-time systems with H∞ -norm and variance constraints, namely, to design a Lu-Lu controller so that the closed-loop system remains asymptotically stable for all perturbable parameter perturbations while the transfer function Satisfy the pre-given H∞ norm constraint, and the steady-state variance of each state does not interfere with the given value. The results show that an effective algebraic method can be used to make the uncertain linear stochastic discrete-time systems satisfy given H∞ norm constraints and variance constraints.