不确定广义大系统分散鲁棒H_∞保性能控制  

Decentralized robust H-infinity and cost-guaranteed control for uncertain singular large-scale systems

作　　者：沃松林[1] 史国栋[1] 邹云[2] 

机构地区：[1]江苏技术师范学院电气信息工程学院,江苏常州213001 [2]南京理工大学自动化学院,江苏南京210094

出　　处：《控制理论与应用》2009年第9期1035-1040,共6页Control Theory & Applications

基　　金：国家自然科学基金资助项目(60474078)

摘　　要：针对一类状态矩阵和控制矩阵存在参数不确定的广义大系统,研究其分散鲁棒H∞保性能控制问题,系统中不确定项具有数值界,可不满足匹配条件.基于广义系统的有界实引理,应用线性矩阵不等式(LMI)方法,给出了不确定广义大系统存在分散鲁棒H∞保性能控制器的一个LMI条件,并用这个线性矩阵不等式系统的可行解提供了一组分散鲁棒H∞保性能控制律的参数化表示,最后用例子说明该方法的应用.The decentralized robust H-infinity and cost-guaranteed control problem for singular large-scale systems with uncertainty in states and control matrices is considered. The uncertainty is magnitude-bounded, but may violate the so-called matching conditions. Based on the bounded real lemma of singular systems, a sufficient condition for the existence of decentralized robust H-infinity and cost-guaranteed controller for uncertain singular large-scale systems is presented in terms of the solvability to a certain system of linear matrix inequalities （LMI）. The feasible solutions to this system of LMIs provide a parameterized expression for the set of decentralized robust H-infinity and cost-guaranteed controller. The given example shows the application of the method.

关 键 词：分散鲁棒H∞控制 不确定性 保性能控制 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]