| 引用本文: | 张福恩.状态反馈极点配置问题[J].控制理论与应用,1986,3(3):43~51.[点击复制] |
| Zhang Fuen.PROBLEM OF POLE ASSIGNMENT USING STATE FEEDBACK[J].Control Theory and Technology,1986,3(3):43~51.[点击复制] |
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| 状态反馈极点配置问题 |
| PROBLEM OF POLE ASSIGNMENT USING STATE FEEDBACK |
| 摘要点击 1257 全文点击 595 投稿时间：1984-06-04 修订日期：1986-01-15 |
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| DOI编号 |
| 1986,3(3):43-51 |
| 中文关键词 |
| 英文关键词 |
| 基金项目 |
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| 中文摘要 |
| 本文研究了线性时不变多变量系统引进状态反馈任意配置闭路极点问题。首先导出了系统的一种新的标准型，然后给出了计算状态反馈矩阵的一种新方法，其主要的运算是解一组含有n-p+1个未知数的线性代数方程，算法简单。然后举例说明了这种方法的应用。文中同时还证明了状态反馈闭路系统特征方程可以分解为二个多项式之积，其阶数分别为n-p+1和p-1，而其系数为反馈矩阵元素的线性函数。 |
| 英文摘要 |
| In this paper a problem of arbitrary closed-loop pole assignment in the linear time-invariant systems using state feedback is studied. A new method for computing the state feedback matrix is given. The main computation of the method is associated with the solution of a set of a linear algebraic equation with n-p+1 unknowns. The computation is simpler. Finally, an example is given to illustrate the application of the method.
In addition it is proved in this paper that a characteristic equation of the closed-loop systems of state feedback can be represented by a product of two polynomials with order n-p+1 and p-1 respectively. The coefficients of which are the linear combination of the elements of the state feedback matrix. |