本文针对一类具有未建模动态的离散线性系统提出了一种新的鲁棒自适应控制算法．此算法由一带有相对死区的最小二乘参数估计方案和一带有模型误差反馈的广义最小方差控制器构成，本文证明了：此算法不仅能保证在有未建模动态存在时闭环系统是鲁棒稳定的，而且还能保证系统的平均跟随误差趋于零．仿真结果表明：采用本文方法即使用低阶模型设计仍能获得满意的控制效果． In this paper, a new robust adaptive control algorithm is proposed for a class of discrete linear systems with unmodeled dynamics. This algorithm consists of a least-squares parameter estimation scheme with relative dead-zone and a generalized minimum variance controller with model error feedback. This paper proves that this algorithm not only guarantees that the closed-loop system Stable, but also to ensure that the average following error of the system tends to zero. Simulation results show that the proposed method can obtain satisfactory control effect even with low-order model design.