一类不确定大系统分散鲁棒H_∞状态反馈控制  

Decentralized robust H_∞ state feedback control for a class of uncertain large scale systems

作　　者：谢永芳[1] 桂卫华[1] 蒋朝辉[1] 

机构地区：[1]中南大学信息科学与工程学院,湖南长沙410083

出　　处：《系统工程与电子技术》2006年第1期99-102,共4页Systems Engineering and Electronics

基　　金：国家自然科学基金资助课题(60474003)

摘　　要：针对一类状态矩阵、控制矩阵及关联矩阵中存在数值界不确定性关联大系统,研究其分散鲁棒H∞状态反馈控制问题。基于有界实引理提出了存在分散鲁棒H∞状态反馈控制器的参数化定理和两种线性矩阵不等式(LMI)设计方法:直接LMI和迭代LMI,所获得的控制器具有块对角结构,使闭环系统稳定并且满足给定的H∞性能指标。最后用数值实例说明了该设计方法的有效性。The decentralized robust H∞ state feedback controller is designed for large-scale interconnected systems with value bounded uncertainty in state, control and interconnected matrices. Based on the bounded real lemma, the parametrization theorem for a decentralized H∞ state feedback controller is addressed and two linear matrix inequalitiy （LMI） methods i.e. the direct LMI approach and iterative LMI approach, are proposed to solve the problem. The controller obtained has a block diagonal structure, and ensures that the closed-loop system is asymptotically stable and satisfies the given H∞ performance index. The given example shows the effectiveness of the method.

关 键 词：数值界不确定性 分散H∞控制 状态反馈 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]