基于LMI降阶正实控制器的设计  

Design of Positive Real Reduced-order Controllers Based on LMI

作　　者：林蓉[1] 曾建平[2] 

机构地区：[1]福建三明学院数学与计算机科学系,福建三明365004 [2]厦门大学信息科学与技术学院,福建厦门361005

出　　处：《佳木斯大学学报（自然科学版）》2008年第2期237-239,244,共4页Journal of Jiamusi University：Natural Science Edition

基　　金：福建三明学院科技基金资助(B0701/G)

摘　　要：考虑降阶正实控制器的设计问题.基于线性矩阵不等式(LMI),分别给出了连续和离散情形下降阶正实控制器新的上界,该界由系统参数矩阵确定.证明了当广义对象的两个子系统存在不稳定不变零点时,存在阶数小于广义对象McMillan阶的降阶正实控制器.证明是构造性的,可以给出降阶控制器的设计算法.this paper deals with the problem in designing reduced - order positive real （PR） controllers. Based on linear matrix inequality （LMI）, two new upper bounds of order reduction are proposed in terms of the system matrix pencils in continuous - and discrete time respectively. Moreover, it is shown that the reduced - order PR controllers with its order strictly less than that of the generalized plant exist if two subsystems of the plant have unstable invariant zero points. An approach to construct the reduced - order controllers can be given according to the constructive proofs.

关 键 词：正实控制 降阶控制器 线性矩阵不等式 鲁棒控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]