中文摘要：

这篇论文为能作为分系统的一个有限集合被建模的化学反应系统论述一个同时的 H ₂/H 稳定问题。同时稳定多重分系统并且捕获混合 H ₂/H 控制表演的一个单个动态产量反馈控制器被设计。保证稳定性条件， H ₂ 描述和 H 描述能在一个统一矩阵不平等框架以内被强制，一种新奇技术基于直角的补充空间被开发。在如此的一个框架以内，控制器获得是由一个普通免费积极明确的矩阵的介绍的 parameterized，它独立于多重 Lyapunov 矩阵。用 Matlab Yalmip 工具箱的一个反复的线性矩阵不平等(ILMI ) 算法被建立处理建议框架。一个典型化学反应系统的模拟结果被利用显示出建议方法论的有效性。

英文摘要：

This paper presents a simultaneous H2/H∞ stabilization problem for the chemical reaction systems which can be modeled as a finite collection of subsystems. A single dynamic output feedback controller which simultaneously stabilizes the multiple subsystems and captures the mixed H2/H∞ control performance is designed. To ensure that the stability condition, the H2 characterization and the H∞ characterization can be enforced within a unified matrix inequality framework, a novel technique based on orthogonal complement space is developed. Within such a framework, the controller gain is parameterized by the introduction of a common free positive definite matrix, which is independent of the multiple Lyapunov matrices. An iterative linear matrix inequality （ILMI） algorithm using Matlab Yalmip toolbox is established to deal with the proposed framework. Simulation results of a typical chemical reaction system are exploited to show the validity of the proposed methodology.