| 引用本文: | 张新建,方逵.一类极小能控制与广义样条函数.[J].国防科技大学学报,1993,15(4):84-90.[点击复制] |
| Zhang Xinjian,Fang Kui.On a Class of Minimum Energy Controls and Generalized Splines[J].Journal of National University of Defense Technology,1993,15(4):84-90[点击复制] |
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| 一类极小能控制与广义样条函数 |
| 张新建, 方逵 |
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(系统工程与数学系)
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| 摘要: |
| 本文讨论由一般微分方程确定的时不变线性系统的一类极小能控制问题。首先，通过引入降阶逆向系统揭示了原系统的输入与输出是由某个积分-微分算子联系着的，并利用该算子建立了极小能控制与广义样条的联系；然后在对于输出端的一类较广泛的约束条件下，导出了其输出空间与文[l]的输出空间具有类似的构造性质，从而建立了与文[1] 类似的投影公式与递推公式。 |
| 关键词: 降阶逆向系统，积分-微分算子，极小能控制，广义样条，递推公式 |
| DOI： |
| 投稿日期：1992-05-26 |
| 基金项目: |
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| On a Class of Minimum Energy Controls and Generalized Splines |
| Zhang Xinjian, Fang Kui |
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(Department of System Engineering and Mathematics)
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| Abstract: |
| In this paper, the problem of minimum-energy control of linear systems determined in terms of two differential operators is investigated. By introducing the reduced-order inverse of the system discussed in this paper，we reveal that the input and output of the system are connected by a integro-differential operator. This operator is used to define the correspondence between the optimal controls and certain generalized splines. Finally，the formulas and the recursive algorithm，similar to those in [l]，for the optimal controls and the generalized splines are obtained. |
| Keywords: reduced-order inverse,integro-differential operators,minimum-energy controls,generalized splines,recursive algorithm |
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