| 离散系统多步观测时滞的H∞输出反馈控制 |
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| 引用本文： | 刘梅,张焕水,段广仁. 离散系统多步观测时滞的H∞输出反馈控制[J]. 控制理论与应用, 2007, 24(1) |
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| 作者姓名： | 刘梅 张焕水 段广仁 |
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| 作者单位： | 北京工商大学,基础部,北京,100037;山东大学,控制科学与工程学院,山东,济南,250061;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 |
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| 基金项目： | 国家自然科学基金，国家自然科学基金 |
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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．
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| 关 键 词： | 离散系统 多步时滞 H∞控制 Krein空间 重组观测 |
H-infinity measurement-feedback control for discrete-time systems with multiple delayed measurements |
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| LIU Mei,ZHANG Huan-shui,DUAN Guang-ren. H-infinity measurement-feedback control for discrete-time systems with multiple delayed measurements[J]. Control Theory & Applications, 2007, 24(1) |
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| Authors: | LIU Mei ZHANG Huan-shui DUAN Guang-ren |
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| Abstract: | 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. |
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| Keywords: | discrete-time systems multiple delays H-infinity control Krein space re-organized measurements |
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