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对一类含有范数有界参数不确定线性系统的混合Ｈ２／Ｈ∞状态反馈控制问题进行了研究． 给出了系统一个输出在满足给定的Ｈ∞干扰衰减约束条件下，其另一个输出的Ｈ２ 性能指标所满足的上界，并利用Ｌａｇｒａｎｇｅ 乘子法导出了使得该界达到最小的“最优的”状态反馈控制器．结果仅需求解一个含有两个尺度参数的修正代数Ｒｉｃｃａｔｉ方程． 而且数值结果表明该方法是非常有效的．
A hybrid H2 / H∞ state feedback control problem for a class of uncertain linear systems with norm bounded parameters is studied. The upper bound of the H2 performance index of another output of an output system satisfying the given H∞ interference attenuation constraint is given and the Lagrange multiplier method is used to derive the optimal State feedback controller. The result only needs to solve a modified algebraic Riccati equation with two scale parameters. And numerical results show that the method is very effective.