| 二阶线性系统特征结构配置的完全参数代分法 |
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| 引用本文： | 段广仁.二阶线性系统特征结构配置的完全参数代分法[J].黑龙江大学自然科学学报,2001,18(3):12-23. |
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| 作者姓名： | 段广仁 |
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| 作者单位： | 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 |
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| 基金项目： | 国家自然科学基金，教育部跨世纪优秀人才培养计划 |
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| 摘 要： | 考虑二阶线性系统q-Aq-cq=Bu在比例加微分反馈控制下的特征结构配置问题,在A
B]能控的条件下,给出了闭环特征向量矩阵及反馈增益矩阵的一种非常简单的完全参数表达式.所提出的方法无须进行系统增方或变换,直接基于原系统的数据A,B,C,因而主要涉及n-维矩阵的运算,两个例子说明了有效性.
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| 关 键 词： | 二阶系统 特征结构配置 比例加微分控制 参数解 |
Complete parametric approach for eigenstructure assignment in a class of second-order linear systems |
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| Abstract.Complete parametric approach for eigenstructure assignment in a class of second-order linear systems[J].Journal of Natural Science of Heilongjiang University,2001,18(3):12-23. |
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| Authors: | Abstract |
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| Abstract: | The author deals with eigenstructure assignment in the second-order linear system q -Aq -Cq = Bu using the proportional- plus- derivative feedback controller. Under the controllability condition of the matrix pair A B], very simple, general, and complete parametric expressions in direct closed forms for both the closed-loop eigenvector matrix and the feedback gains are established. The approach utilises directly the original system data A, B and C, and involves manipulations on only n-dimensional matrices. Two examples illustrate the effect of the proposed approach. |
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