离散系统多步观测时滞的H_∞输出反馈控制被引量：1

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

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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.

作者刘梅张焕水段广仁

机构地区北京工商大学基础部山东大学控制科学与工程学院哈尔滨工业大学控制理论与制导技术中心

出处《控制理论与应用》 EI CAS CSCD 北大核心 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)

关键词离散系统多步时滞 H∞控制 KREIN空间重组观测 discrete-time systems multiple delays H-infinity control Krein space re-organized measurements

分类号 TP13 [自动化与计算机技术—控制理论与控制工程]

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