中文摘要：

针对一类含任意拓扑结构连接以及不可靠通信连接而引起的关联系统子系统间信息交换故障情况问题，提出了一种关联系统分析以及分散控制器设计方法。该方法首先把关联系统子系统间通信故障的随机变量看作是关联系统模型不确定性来源，并且用分式线性变换形式建立关联系统。然后，借助鲁棒控制理论推导出在最大通信连接故障情况下关联系统均方稳定的充分条件。在给定某一通信故障率下，基于线性矩阵不等式理论，通过设计分散状态反馈控制器来保证整个大系统是均方稳定的。最后，通过中国南方电网局部缩减模型作为仿真实例说明所提出模型和方法的有效性。仿真结果表明，当南方电网局部电力元件之间的通信发生故障时使用本文的方法能够很好地进行电网设计和广域控制，并使整个局部电网是均方稳定的。

英文摘要：

A analysis method of the problems of interconnected systems and the decentralized controller design method are presented in this paper. That the topology of the interconnection is arbitrary and the exchanged information between subsystems is lost cause the unre- liable link. Firstly, the stochastic variable responsible for the situation of the lossy communication is regarded as a source of model un- certainty, and the system is modeled in linear fractional transformation. Then the robust control theory is employed for system analysis, and the largest probability of communication failure, which is tolerated by the interconnected systems keeping mean square stable, can be obtained. Decentralized state feedback controllers are designed to ensure that the whole systems are mean square stable for a given communication failure rate, based on the technique of linear matrix ineqUalities. Finally, an illustrative example of power network which is a part of China southern power grid is presented finally to show the effectiveness of the proposed model and method. Simulation results demonstrate that when the communication faults occur between the power components in the China southern power grid, using the method described in this paper can make the network well designed and wide-area controlled and the local power network mean square stable.