为了使系统既满足H2 指标 ,又具有良好的动态特性 ,对采样系统进行H2 最优控制设计时 ,考虑把极点限制在以原点为圆心、以 ρ( 0 <ρ≤ 1 ) 为半径的圆域内 .借鉴极点配置理论 ,把具有此类极点约束的采样系统H2 最优控制问题转化成无约束的离散LTI系统H2 最优控制问题 .给出了设计步骤 ,并通过仿真验证了该结果的有效性 . In order to make the system not only satisfy the H2 index but also have good dynamic characteristics, when designing the H2 optimal control system of the sampling system, the limit of the pole in the circle with the origin as its center and ρ (0 <ρ≤1) as its radius Using pole assignment theory, H2 optimal control problem of sampling system with such pole constraints is transformed into H2 optimal control problem of unconstrained discrete LTI system.The design steps are given and the validity of the result is verified by simulation .