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| 线性系统最优输出转移问题的反馈解 | |
| 引用本文： | 李英国,潘立平. 线性系统最优输出转移问题的反馈解[J]. 数学年刊A辑(中文版), 2006, 0(6) |
| 作者姓名： | 李英国 潘立平 |
| 作者单位： | 复旦大学数学科学学院，复旦大学数学科学学院 上海 200433，上海 200433 |
| 基金项目： | 国家自然科学基金(No．10571030)资助的项目． |
| 摘 要： | 在适当的条件下讨论如何最佳地施加控制将系统的输出转移至目标点,用来度量控制优劣的指标综合反映了转移时间,转移过程所消耗的输入能量与系统自身运动过程所具有的能量的多少,给出了使此指标达到最小的(状态)反馈控制． |
| 关 键 词： | 线性系统 输出转移 目标点 综合指标 最优 |
Feedback Optimal Solution to Output Transfer Problem of Linear System |
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| LI Yingguo PAN Liping School of Mathematical Sciences,Fudan University,Shanghai ,China.. Feedback Optimal Solution to Output Transfer Problem of Linear System[J]. Chinese Annals of Mathematics, 2006, 0(6) | |
| Authors: | LI Yingguo PAN Liping School of Mathematical Sciences Fudan University Shanghai China. |
| Affiliation: | LI Yingguo PAN Liping School of Mathematical Sciences,Fudan University,Shanghai 200433,China. |
| Abstract: | This paper discusses how to control linear ordinary differential system to optimally transfer the output to a predeterminate target point. An composite index which is a weighted sum of the input (and state) energy and transfer time (as the objective functional) is used to evaluate the controls, and derives an optimal (state) feedback control law. |
| Keywords: | Linear systems Output transfer Target point Composite index Optimal |
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