离散系统多步观测时滞的H_∞输出反馈控制  

H-infmity measurement-feedback control for discrete-time systems with multiple delayed measurements

作　　者：刘梅[1] 张焕水[2] 段广仁[3] 

机构地区：[1]北京工商大学基础部,北京100037 [2]山东大学控制科学与工程学院,山东济南250061 [3]哈尔滨工业大学控制理论与制导技术中心,黑龙江哈尔滨150001

出　　处：《控制理论与应用》2007年第1期46-52,58,共8页Control Theory & Applications

基　　金：国家自然科学基金资助项目(60174017);国家杰出青年基金资助项(69925308)

摘　　要：针对一类多观测时滞离散系统,本文提出了基于Krein空间理论解决H∞输出反馈问题的新方法．利用H∞输出反馈控制问题与不定二次型之间的关系,时滞系统的H∞控制问题分解为LQ问题和时滞的H∞估计问题．通过重组观测,时滞的H∞估计问题可转化为无时滞的H∞估计问题,从而给出由两个Riccati方程决定的H∞控制器存在的充要条件．本文的方法不需要增广系统．A new approach to solve the H-infinity control problem for linear discrete-time systems with multiple delayed measurements is proposed based on Krein space theory. By using the relationship between H-infinity measurement- feedback control problem and indefinite quadratic form, the H-infinity control problem for the time delay system is separated into an LQ problem and a delayed H2 estimation problem which can be converted into a delay-free H2 estimation problem resorted to reorganizing the measurements. Then, a sufficient and necessary condition for the existence of the H-infinity controller which is determined by two Riccati equations is presented. The approach in this paper does not require system augmentation.

关 键 词：离散系统 多步时滞 H∞控制 KREIN空间 重组观测 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]