摘要
提出了两种大系统分散Ｈ∞状态反馈控制的设计方法，首先描述了分散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两种设计方法，即直接线性矩阵不等式（ＬＭＩ）方法和迭代ＬＭＩ（ＩＬＭＩ）方法，所获得的状态反馈阵具有块对角结构，且能满足闭环传递函数的Ｈ∞性能指标要求。
This paper provides two methods to design decentralized state feedback suboptimal controllers based on H ∞ theory for large scale systems. The problem of decentralized H ∞ state feedback control is described, and the parameterization theorem of the existing decentralized H ∞ state feedback controller is addressed. Two methods based on linear matrix inequality (LMI) are proposed to solve the problem: the direct LMI approach and iterative LMI (ILMI) approach. The controller obtained has a block diagonal structure and ensures that the closed loop H ∞ system performs. The given example illustrates the applications of the methods.
基金
国家863资助项目
关键词
大系统分散控制
H∞控制
LMI
ILMI
decentralized control for large scale systems
H ∞ control
LMI
iterative algorithm
