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本文提出了一种大系统基于状态反馈分散Ｈ２／Ｈ∞状态反馈鲁棒控制设计方法。通过对集中控制器的参数结构约束，把反馈增益的设计条件转化为线性矩阵不等式（ＬＭＩ）约束，提出了存在分散Ｈ２／Ｈ∞状态反馈控制器的ＬＭＩ参数化定理。用ＬＭＩ方法求解分散Ｈ２／Ｈ∞鲁棒控制器，使闭环系统渐近稳定，Ｈ２／Ｈ∞性能指标最优。
In this paper, a robust system design method based on state feedback decentralized H2 / H∞ state feedback is proposed. The LMI parameterization theorem for the decentralized H2 / H∞ state feedback controller is proposed by transforming the design conditions of the feedback gain into a linear matrix inequality (LMI) constraint by focusing on the parameter structure of the centralized controller. The LMI method is used to solve the decentralized H2 / H∞ robust controller so that the closed-loop system is asymptotically stable and the H2 / H∞ performance index is optimal.