| 一种分数阶修正比例导引律 |
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| 引用本文： | 朱竹婷,廖增,彭程,王永.一种分数阶修正比例导引律[J].控制理论与应用,2012,29(7):945-948. |
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| 作者姓名： | 朱竹婷 廖增 彭程 王永 |
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| 作者单位： | 1. 中国科学技术大学自动化系,安徽合肥,230027
2. 中国科学技术大学自动化系,安徽合肥230027;中国人民解放军63818部队,四川西昌615000 |
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| 基金项目： | 国家自然科学基金资助项目(61004017, 60974103). |
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| 摘 要： | 针对导弹的机动目标追踪问题,本文提出了一种基于分数阶微积分的修正比例导引律(modified proportional navigation law based on fractional calculus,FO-PPN).通过选取Lyapunov-like函数,从理论上证明了FO-PPN制导下的理想导弹能够击中带有时变法向加速度的机动目标.仿真结果表明,修正后的比例导引律在保持原有追踪性能的同时,还可以有效改善传统比例导引下导弹在命中点处法向过载突变的不足.
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| 关 键 词： | 分数阶微积分 比例导引律 Lyapunov-like方法 |
| 收稿时间： | 2011/9/28 0:00:00 |
| 修稿时间： | 2/3/2012 12:00:00 AM |
A fractional-order modified proportional navigation law |
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| ZHU Zhu-ting,LIAO Zeng,PENG Cheng and WANG Yong.A fractional-order modified proportional navigation law[J].Control Theory & Applications,2012,29(7):945-948. |
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| Authors: | ZHU Zhu-ting LIAO Zeng PENG Cheng and WANG Yong |
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| Abstract: | A modified proportional navigation law based on fractional calculus (FO-PPN) can effectively solve the control problem for the capture of a target with randomly maneuvers... By means of the Lyapunov-like method, we prove that under certain conditions, an ideal missile guided by the FO-PPN law can always hit a target with time-varying normal acceleration. The simulation results show that the FO-PPN not only maintains the tracking performance, but also reduces the sudden change of the normal overload received by the missile receives at the point of impact. |
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| Keywords: | fractional calculus proportional navigation Lyapunov-like method |
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