针对一类范数有界不确定离散随机系统,研究了具有输出反馈控制器的保性能控制,由此得到闭环系统的二次型性能指标上界的一般形式;然后应用LMI凸优化技术,推导出使闭环系统渐近稳定的最优保性能控制器的设计方法;最后通过仿真算例验证了所提出算法的可行性和有效性. For a class of norm-bounded discrete discrete stochastic systems with uncertainties, the guaranteed cost control with output feedback controller is studied, and the general form of upper bound of the quadratic performance index of the closed-loop system is obtained. Then, by using LMI convex optimization technique, Finally, a simulation example is given to verify the feasibility and effectiveness of the proposed algorithm.