摘要
应用线性矩阵不等式（ＬＭＩ）方法研究了大系统分散Ｈ∞控制问题．首先分析了分散Ｈ∞状态反馈控制问题，然后提出了存在分散Ｈ∞状态反馈控制器的参数化定理和一种基于ＬＭＩ的迭代求解方法．把反馈增益的设计条件转化为一个双仿射矩阵不等式，用ＬＭＩ迭代算法求解分散控制器，并用实例说明了该方法的应用．结果表明，所获得的控制器具有块对角结构，闭环系统稳定，且使其Ｈ∞范数小于１．
This paper is to study the decentralized H ∞ control problem for large scale systems by linear matrix inequality (LMI) approach. In the paper, the problem of decentralized H ∞ state feedback control is described, the parametrization theorem on the existence of a decentralized H ∞ state feedback controller is addressed and an iterative method based on LMI is proposed. The design condition for the decentralized is given in the form of a biaffine matrix inequality and an iterative algorithm based on LMI is offered to obtain the decentralized controller. The controller has the block diagonal structure, and makes the closed loop system asymptotically stable and the H ∞ norm less than 1. The given example shows the application of the method.
出处
《中南工业大学学报》
CSCD
北大核心
1999年第1期88-91,共4页
Journal of Central South University of Technology(Natural Science)
基金
国家自然科学基金
关键词
分散鲁棒控制
状态反馈
迭代算法
LMI
decentralized robust control
state feedback
LMI
iterative algorithm
