| 引用本文: | 韩京清.线性空间上的控制系统[J].控制理论与应用,1985,2(1):21~35.[点击复制] |
| Han Jingqing.THE CONTROL SYSTEM IN THE LINEAR SPACE[J].Control Theory and Technology,1985,2(1):21~35.[点击复制] |
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| 线性空间上的控制系统 |
| THE CONTROL SYSTEM IN THE LINEAR SPACE |
| 摘要点击 809 全文点击 488 投稿时间：1982-12-20 修订日期：1984-02-06 |
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| DOI编号 |
| 1985,2(1):21-35 |
| 中文关键词 |
| 英文关键词 |
| 基金项目 |
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| 中文摘要 |
| 本文将把线性控制系统∑=（A,B,C）看做线性空间中的一个算子、一组向量及一组泛函所组成的代数对象，用线性代数方法讨论系统的机构。把状态反馈看做由一组泛函和一组向量决定的算子，并根据开环算子和闭环算子之间的一种递推混合展式讨论了状态反馈问题。本文所采用的方法有简单、便于计算、易于推广的优点。在这里，系统的状态描述与多项式描述之间联系显得很自然。 |
| 英文摘要 |
| In this paper,a linear system ∑=（A,B,C）is treated as an algebraic object in which Ais an operator in a linear space, B a set of column vector and C a set of function (row vetors). The system structure is ciscussed with algebraic methods. Here the state feedback becomes an operator which is determined by a group of functionals and vectors. In the present paper, the state feedback is also discussed according to an iterative mixed expansion existing between open -loop operator, and closed -loop operator. The methods here have the advantage of simplicity, computation convenience and easiness to be generalized. Furthermore,the relationship between state description and polynomial description of system appears natural. |
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