| 基于特征结构配置的二阶动力学系统模型匹配问题 |
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| 引用本文： | 王国胜,陈兴林,段广仁. 基于特征结构配置的二阶动力学系统模型匹配问题[J]. 黑龙江大学自然科学学报, 2003, 20(4): 38-42 |
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| 作者姓名： | 王国胜 陈兴林 段广仁 |
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| 作者单位： | 1. 哈尔滨工业大学,控制理论与制导技术研究中心,黑龙江,哈尔滨,150001
2. 哈尔滨工业大学,航天学院,黑龙江,哈尔滨,150001 |
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| 基金项目： | 国家自然科学基金资助项目(69504002) |
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| 摘 要： | 考虑一类二阶动力学系统的模型匹配问题。基于Jordan标准分解将二阶动力学系统的模型匹配问题转化为特征向量匹配问题,即设计一比例加微分控制律,使闭环系统的特征向量与目标系统的特征向量充分接近。利用二阶动力学系统的特征结构配置参数化结果,给出了匹配问题的最小二乘解及求解该匹配问题的算法。数值例子表明了该算法简单且有效。
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| 关 键 词： | 二阶动力学系统 模型匹配 特征结构配置 比例加微分状态反馈 |
| 文章编号： | 1001-7011(2003)04-0038-05 |
| 修稿时间： | 2003-04-22 |
A model matching problem in a class of second-order dynamic systems based on eigenstructure assignment |
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| WANG Guo-sheng,CHEN Xing-lin,DUAN Guang-ren. A model matching problem in a class of second-order dynamic systems based on eigenstructure assignment[J]. Journal of Natural Science of Heilongjiang University, 2003, 20(4): 38-42 |
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| Authors: | WANG Guo-sheng CHEN Xing-lin DUAN Guang-ren |
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| Abstract: | A model matching problem in a class of second -order dynamic systems is inverstigated. Based on the Jordan canonical form, this model matching problem is turned into the eigenvector matching problem. So its aim is to design a proportional - plus - derivative feedback which can guarantee that the eigenvectors of the closed -loop system is as close as possible to those of the objective system. By utilizing the parametric results of eigenstructure assignment in the second -order dynamic systems, the least square solutions are established for this matching problem. An illustrative example shows the simplicity and effect of the proposed method. |
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| Keywords: | second-order dynamic systems model matching eigenstructrue assignment proportional plus derivative state feedback |
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