无源性不仅是系统的一个重要性质，而且是控制一个系统的重要途径。本文基于分散控制方法研究了关联大系统的无源性。利用Lyapunov-Krasovskii泛函方法和Hamilton函数方法，通过求解线性矩阵不等式（LMIs）得到了分散无源控制器的显式表达。所得到的新的无源性判据和无源控制器的参数是与时滞相关的。当关联时滞已知时，这些新结果的条件易于用Matlab中的LMI工具箱进行验证,因而控制器的设计也容易实现。最后用数值例子说明了所得到定理的有效性和无源控制器的设计过程。

In this paper, based on decentralized control, passivity of interconnected systems with time-delays is studied. Both existence results and expressions of dffentralized and passive controller are presented. The conditions are represented by linear matrix inequality (LMI). The results can be implemented easily in practice.

用线性矩阵不等式(LMI)方法研究大系统分散H2/H∞控制问题，提出了存在分散H2/?H∞状态反馈控制器的参数化定理和两种基于LMI的设计方法：直接LMI方法和迭代LMI（ILMI）方法。所获得的控制器具有块对角结构，闭环系统稳定且能优化闭环系统的H2/H∞性能指标，示例说明了该算法的应用。

In many industrial processes, especially chemistry and metallurgy industry, the plant is slow for feedback and data test because of complexand varying factors. Considering the multi-objective feature and the complexproblem of production stability in optimal control, this paper proposed an optimal control strategy based on genetic programming (GP), used as a multi-step state transferring procedure. The fitness function is computed by multi-step comprehensive evaluation algorithm, which provides a synthetic evaluation of multi-objective in process state based on single objective models. The punishment to process state variance is also introduced for the balance between optimal performance and stability of production. The individuals in GP are constructed as a chain linked by a few relation operators of time sequence for a facilitated evolution in GP with compact individuals. The optimal solution gained by evolution is a multi-step command program of process control, which not only ensures the optimization tendency but also avoids violent process variation by adjusting control parameters step by step. An optimal control system for operation direction is developed based on this strategy for imperial smelting process in Shaoguan. The simulation and application results showed its effectiveness for production objects optimization in complex process control.

对一类满足匹配条件的时变不确定性关联大系统，给出了其可分散状态反馈镇定的充分条件即一组线性矩阵不等式（LMI）有解。在此基础上，通过求解一凸优化问题，指出了具有较小反馈增益的分散稳定化状态反馈控制律的设计方法。文中的仿真示例说明了该方法的有效性和优越性。