| 输入多采样率数字控制系统的同时极点配置 |
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| 引用本文： | 肖 建,唐 磊. 输入多采样率数字控制系统的同时极点配置[J]. 控制理论与应用, 2002, 19(4): 595-598 |
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| 作者姓名： | 肖 建 唐 磊 |
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| 作者单位： | 西南交通大学电气工程学院,成都,610031 |
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| 基金项目： | 国家自然科学基金(69774024)资助课题. |
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| 摘 要： | 在利用提升(lifting)技术所构造出来的多采样率数字控制系统的线性时不变状态空间模型的基础上, 讨论l个被控对象通过输入多采样率数字控制系统的同时极点配置问题. 分别引入了解决这一问题的状态空间方法和多项式矩阵插值方法. 通过适当的变换, 将同时极点配置问题归结为一系列线性方程组的求解问题. 指出, 当系统的输入采样率满足一定条件时, 可以利用输入多采样率的输出静态反馈控制系统, 实现对l个被控对象的同时极点配置.
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| 关 键 词： | 多采样率数字控制系统 同时极点配置 鲁棒控制 线性系统 |
| 文章编号： | 1000-8152(2002)04-04-0595 |
| 收稿时间： | 2000-06-12 |
| 修稿时间： | 2001-03-09 |
Simultaneous pole assignment of input multirate digital control systems |
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| XIAO Jian and TANG Lei. Simultaneous pole assignment of input multirate digital control systems[J]. Control Theory & Applications, 2002, 19(4): 595-598 |
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| Authors: | XIAO Jian and TANG Lei |
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| Affiliation: | School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031,China;School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031,China |
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| Abstract: | Based on the linear time_invariant state space model of multirate digital control systems constructed by lifting techniques, this paper discusses the problem of simultaneous pole assignment of l plants by multirate input sampling digital control systems. Both the state space method and the polynomial matrix interpolation method are introduced to solve the problem. Through suitable transformations, the solution of the simultaneous pole assignment problem is resort to the solution of a number of linear equations. It is pointed out, simultaneous pole assignment of l plants is generally solvable by a static output feedback mutirate digital controller, if the input sampling rates of the multirate digital control system satisfying certain conditions. |
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| Keywords: | multirate digital control system simultaneous pole assignment robust control linear systems |
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